132122007142400
132,122,007,142,400 is an even composite number composed of six prime numbers multiplied together.
132122007142400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 132122007142400:
215 × 52 × 112 × 19 × 312 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 19 × 31 × 31 × 73)See below for interesting mathematical facts about the number 132122007142400 from the Numbermatics database.
Names of 132122007142400
- Cardinal: 132122007142400 can be written as One hundred thirty-two trillion, one hundred twenty-two billion, seven million, one hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.321220071424 × 1014
Factors of 132122007142400
Divisors of 132122007142400
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 8 10 11 16 19 20 22 25 31 32 38 40 44 50 55 62 64 73 76 80 88 95 100 110 121 124 128 146 152 155 160 176 190 200 209 220 242 248 256 275 292 304 310 320 341 352 365 380 400 418 440 475 484 496 512 550 584 589 605 608 620 640 682 704 730 760 775 800 803 836 880 950 961 968 992 1024 1045 1100 1168 1178 1210 1216 1240 1280 1364 1387 1408 1460 1520 1550 1600 1606 1672 1705 1760 1825 1900 1922 1936 1984 2048 2090 2200 2263 2299 2336 2356 2420 2432 2480 2560 2728 2774 2816 2920 2945 3025 3040 3100 3200 3212 3344 3410 3520 3650 3751 3800 3844 3872 3968 4015 4096 4180 4400 4526 4598 4672 4712 4805 4840 4864 4960 5120 5225 5456 5548 5632 5840 5890 6050 6080 6200 6400 6424 6479 6688 6820 6935 7040 7300 7502 7600 7688 7744 7936 8030 8192 8360 8525 8800 8833 9052 9196 9344 9424 9610 9680 9728 9920 10240 10450 10571 10912 11096 11264 11315 11495 11680 11780 12100 12160 12400 12800 12848 12958 13376 13640 13870 14080 14600 14725 15004 15200 15257 15376 15488 15872 16060 16384 16720 17050 17600 17666 18104 18259 18392 18688 18755 18848 19220 19360 19456 19840 20075 20480 20900 21142 21824 22192 22528 22630 22990 23360 23560 24025 24200 24320 24800 24893 25600 25696 25916 26752 27280 27740 28160 29200 29450 30008 30400 30514 30752 30976 31744 32120 32395 32768 33440 34100 34675 35200 35332 36208 36518 36784 37376 37510 37696 38440 38720 38912 39680 40150 40960 41800 42284 42997 43648 44165 44384 45056 45260 45980 46720 47120 48050 48400 48640 49600 49786 51200 51392 51832 52855 53504 54560 55480 56320 56575 57475 58400 58900 60016 60800 61028 61504 61952 63488 64240 64790 66880 68200 69350 70153 70400 70664 71269 72416 73036 73568 74752 75020 75392 76285 76880 77440 77824 79360 80300 81920 83600 84568 85994 87296 88330 88768 90112 90520 91295 91960 93440 93775 94240 96100 96800 97280 99200 99572 102400 102784 103664 105710 107008 109120 110960 112640 113150 114950 116281 116800 117800 120032 121600 122056 123008 123904 124465 126976 128480 129580 133760 136400 138700 140306 140800 141328 142538 144832 146072 147136 149504 150040 150784 152570 153760 154880 155648 158720 160600 161975 163840 167200 167827 169136 171988 174592 176660 177536 180224 181040 182590 183920 186880 187550 188480 192200 193600 194560 198400 199144 200849 204800 205568 207328 211420 214016 214985 218240 220825 221920 225280 226300 229900 232562 233600 235600 240064 243200 244112 246016 247808 248930 253952 256960 259160 264275 267520 272800 273823 277400 280612 281600 282656 285076 289664 292144 294272 299008 300080 301568 305140 307520 309760 311296 317440 321200 323950 334400 335654 338272 343976 349184 350765 353320 355072 356345 360448 362080 365180 367840 373760 375100 376960 381425 384400 387200 389120 396800 398288 401698 409600 411136 414656 422840 428032 429970 436480 441650 443840 450560 452600 456475 459800 465124 467200 471200 472967 480128 486400 488224 492032 495616 497860 507904 513920 518320 528550 535040 545600 547646 554800 561224 563200 565312 570152 579328 581405 584288 588544 598016 600160 603136 610280 615040 619520 622325 622592 634880 642400 647900 668800 671308 676544 687952 698368 701530 706640 710144 712690 724160 730360 735680 747520 750200 753920 762850 768800 771683 774400 778240 793600 796576 803396 819200 822272 829312 839135 845680 856064 859940 872960 883300 887680 901120 905200 912950 919600 930248 934400 942400 945934 960256 972800 976448 984064 991232 995720 1004245 1015808 1027840 1036640 1057100 1070080 1074925 1091200 1095292 1109600 1122448 1126400 1130624 1140304 1158656 1162810 1168576 1177088 1196032 1200320 1206272 1220560 1230080 1239040 1244650 1269760 1284800 1295800 1332907 1337600 1342616 1353088 1369115 1375904 1396736 1403060 1413280 1420288 1425380 1448320 1460720 1471360 1495040 1500400 1507840 1525700 1537600 1543366 1548800 1556480 1587200 1593152 1606792 1644544 1658624 1678270 1691360 1712128 1719880 1745920 1753825 1766600 1775360 1781725 1802240 1810400 1825900 1839200 1860496 1868800 1884800 1891868 1920512 1945600 1952896 1968128 1982464 1991440 2008490 2055680 2073280 2114200 2140160 2149850 2182400 2190584 2209339 2219200 2244896 2252800 2261248 2280608 2317312 2325620 2337152 2354176 2364835 2392064 2400640 2412544 2441120 2460160 2478080 2489300 2539520 2569600 2591600 2665814 2675200 2685232 2706176 2738230 2751808 2793472 2806120 2826560 2840576 2850760 2896640 2907025 2921440 2942720 2990080 3000800 3015680 3051400 3075200 3086732 3097600 3112960 3174400 3186304 3213584 3289088 3317248 3356540 3382720 3424256 3439760 3491840 3507650 3533200 3550720 3563450 3620800 3651800 3678400 3720992 3737600 3769600 3783736 3841024 3858415 3891200 3905792 3936256 3964928 3982880 4016980 4111360 4146560 4195675 4228400 4280320 4299700 4364800 4381168 4418678 4438400 4489792 4505600 4522496 4561216 4634624 4651240 4674304 4708352 4729670 4801280 4825088 4882240 4920320 4956160 4978600 5021225 5079040 5139200 5183200 5202637 5331628 5350400 5370464 5412352 5476460 5503616 5586944 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254904320 257086720 260131850 265379840 266581400 268523200 270617600 271632416 275180800 279347200 280394752 282795392 284057600 287346688 289439744 291917824 293239540 297679360 299155456 302698880 307281920 308673200 312463360 318630400 321358400 322563494 328908800 331724800 332968768 339540520 341224192 343709696 346390528 350493440 352231424 353494240 359183360 361799680 364897280 366549425 370769920 372099200 373944320 376668160 378373600 384102400 390579200 393625600 395101696 407846912 411338752 416210960 424425650 426530240 429637120 432988160 438116800 440289280 441867800 448979200 452249600 456121600 463462400 467430400 469183264 470835200 476286976 482508800 484318208 493877120 499941376 509808640 514173440 520263700 530759680 533162800 537046400 541235200 543264832 550361600 560789504 565590784 568115200 574693376 583835648 586479080 595358720 598310912 605397760 614563840 617346400 624926720 637260800 642716800 645126988 657817600 663449600 665937536 679081040 682448384 687419392 700986880 704462848 706988480 718366720 723599360 729794560 733098850 744198400 747888640 756747200 768204800 781158400 787251200 790203392 806408735 815693824 822677504 832421920 848851300 853060480 859274240 865976320 876233600 880578560 883735600 897958400 904499200 912243200 926924800 934860800 938366528 941670400 952573952 968636416 987754240 1019617280 1028346880 1040527400 1061519360 1066325600 1074092800 1082470400 1086529664 1100723200 1121579008 1131181568 1136230400 1149386752 1167671296 1172958160 1190717440 1210795520 1234692800 1249853440 1274521600 1285433600 1290253976 1326899200 1331875072 1358162080 1364896768 1374838784 1401973760 1408925696 1413976960 1436733440 1447198720 1459589120 1466197700 1488396800 1495777280 1513494400 1536409600 1562316800 1580406784 1612817470 1645355008 1664843840 1697702600 1706120960 1718548480 1731952640 1752467200 1761157120 1767471200 1795916800 1808998400 1824486400 1853849600 1869721600 1876733056 1883340800 1905147904 1937272832 1975508480 2039234560 2056693760 2081054800 2132651200 2148185600 2164940800 2173059328 2201446400 2243158016 2262363136 2298773504 2335342592 2345916320 2381434880 2421591040 2469385600 2499706880 2549043200 2570867200 2580507952 2653798400 2663750144 2716324160 2729793536 2749677568 2803947520 2827953920 2873466880 2919178240 2932395400 2976793600 2991554560 3026988800 3072819200 3124633600 3160813568 3225634940 3290710016 3329687680 3395405200 3412241920 3437096960 3504934400 3522314240 3534942400 3591833600 3617996800 3648972800 3739443200 3753466112 3810295808 3874545664 3951016960 4032043675 4078469120 4113387520 4162109600 4265302400 4296371200 4329881600 4346118656 4402892800 4486316032 4524726272 4691832640 4762869760 4843182080 4938771200 5098086400 5141734400 5161015904 5307596800 5327500288 5432648320 5459587072 5499355136 5607895040 5655907840 5746933760 5838356480 5864790800 5953587200 6053977600 6249267200 6321627136 6451269880 6581420032 6659375360 6790810400 6824483840 6874193920 7009868800 7044628480 7069884800 7183667200 7235993600 7297945600 7478886400 7506932224 7749091328 7902033920 8064087350 8226775040 8324219200 8530604800 8592742400 8659763200 8692237312 8805785600 8972632064 9049452544 9383665280 9525739520 9686364160 9877542400 10196172800 10283468800 10322031808 10655000576 10865296640 10919174144 11215790080 11311815680 11493867520 11676712960 11729581600 11907174400 12107955200 12498534400 12643254272 12902539760 13318750720 13581620800 13648967680 13748387840 14019737600 14139769600 14367334400 14595891200 14957772800 15013864448 15498182656 15804067840 16128174700 16453550080 16648438400 17061209600 17185484800 17384474624 17611571200 18098905088 18767330560 19051479040 19372728320 19755084800 20392345600 20566937600 20644063616 21310001152 21730593280 21838348288 22431580160 22623631360 23459163200 23814348800 24215910400 25286508544 25805079520 26637501440 27163241600 27297935360 27496775680 28039475200 28279539200 28734668800 29191782400 30027728896 31608135680 32256349400 32907100160 33296876800 34122419200 34370969600 34768949248 35223142400 36197810176 37534661120 38745456640 39510169600 41133875200 41288127232 42620002304 43461186560 43676696576 44863160320 45247262720 46918326400 47628697600 48431820800 51610159040 53275002880 54326483200 54595870720 56078950400 56559078400 57469337600 58383564800 60055457792 63216271360 64512698800 66593753600 68244838400 68741939200 69537898496 72395620352 75069322240 77490913280 79020339200 82267750400 82576254464 85240004608 86922373120 90494525440 93836652800 95257395200 96863641600 103220318080 106550005760 108652966400 109191741440 112157900800 113118156800 120110915584 126432542720 129025397600 133187507200 136489676800 137483878400 139075796992 150138644480 158040678400 164535500800 165152508928 170480009216 173844746240 180989050880 187673305600 193727283200 206440636160 213100011520 217305932800 218383482880 224315801600 226236313600 240221831168 258050795200 266375014400 272979353600 278151593984 300277288960 316081356800 330305017856 347689492480 361978101760 375346611200 387454566400 412881272320 426200023040 434611865600 452472627200 480443662336 516101590400 532750028800 545958707200 600554577920 632162713600 660610035712 695378984960 750693222400 825762544640 852400046080 869223731200 904945254400 1032203180800 1065500057600 1091917414400 1201109155840 1321220071424 1390757969920 1501386444800 1651525089280 1738447462400 1809890508800 2064406361600 2131000115200 2402218311680 2642440142848 3002772889600 3303050178560 3476894924800 4128812723200 4262000230400 5284880285696 6005545779200 6606100357120 6953789849600 8257625446400 12011091558400 13212200714240 16515250892800 26424401428480 33030501785600 66061003571200 132122007142400
- Sum of all divisors σ(n): 397097911060200
- Sum of proper divisors (its aliquot sum) s(n): 264975903917800
- 132122007142400 is an abundant number, because the sum of its proper divisors (264975903917800) is greater than itself. Its abundance is 132853896775400
Bases of 132122007142400
- Binary: 111100000101010000011010100110110000000000000002
- Hexadecimal: 0x782A0D4D8000
- Base-36: 1AU00FRHFK
Squares and roots of 132122007142400
- 132122007142400 squared (1321220071424002) is 17456224771336396613877760000
- 132122007142400 cubed (1321220071424003) is 2306351453917847200211836581680513024000000
-
The
square root of 132122007142400 is 11494433.7460529129 -
The
cube root of 132122007142400 is 50932.1161602231
Scales and comparisons
How big is 132122007142400?- 132,122,007,142,400 seconds is equal to 4,201,071 years, 7 weeks, 4 days, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 132,122,007,142,400 would take you about ten million, five hundred two thousand, six hundred seventy-seven years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 132122007142400 cubic inches would be around 4244.3 feet tall.
Recreational maths with 132122007142400
- 132122007142400 backwards is 004241700221231
- The number of decimal digits it has is: 15
- The sum of 132122007142400's digits is 29
- More coming soon!
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"Number 132122007142400 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 132122007142400 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/132122007142400/
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The information we have on file for 132122007142400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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