132920735018400
132,920,735,018,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 132920735018400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
132920735018400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 132920735018400:
25 × 32 × 52 × 73 × 79 × 137 × 4973
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 79 × 137 × 4973)See below for interesting mathematical facts about the number 132920735018400 from the Numbermatics database.
Names of 132920735018400
- Cardinal: 132920735018400 can be written as One hundred thirty-two trillion, nine hundred twenty billion, seven hundred thirty-five million, eighteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.329207350184 × 1014
Factors of 132920735018400
Divisors of 132920735018400
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 63 70 72 75 79 80 84 90 96 98 100 105 112 120 126 137 140 144 147 150 158 160 168 175 180 196 200 210 224 225 237 240 245 252 274 280 288 294 300 315 316 336 343 350 360 392 395 400 411 420 441 450 474 480 490 504 525 548 553 560 588 600 630 632 672 685 686 700 711 720 735 784 790 800 822 840 882 900 948 959 980 1008 1029 1050 1096 1106 1120 1176 1185 1200 1225 1233 1260 1264 1370 1372 1400 1422 1440 1470 1568 1575 1580 1644 1659 1680 1715 1764 1800 1896 1918 1960 1975 2016 2055 2058 2100 2192 2205 2212 2352 2370 2400 2450 2466 2520 2528 2740 2744 2765 2800 2844 2877 2940 3087 3150 3160 3288 3318 3360 3425 3430 3528 3555 3600 3675 3792 3836 3871 3920 3950 4110 4116 4200 4384 4410 4424 4704 4740 4795 4900 4932 4973 4977 5040 5145 5480 5488 5530 5600 5688 5754 5880 5925 6165 6174 6300 6320 6576 6636 6713 6850 6860 7056 7110 7200 7350 7584 7672 7742 7840 7900 8220 8232 8295 8400 8575 8631 8820 8848 9480 9590 9800 9864 9946 9954 10080 10275 10290 10823 10960 10976 11025 11060 11376 11508 11613 11760 11850 12330 12348 12600 12640 13152 13272 13426 13700 13720 13825 14112 14220 14385 14700 14919 15344 15435 15484 15800 16440 16464 16590 16800 17150 17262 17640 17696 17775 18960 19180 19355 19600 19728 19892 19908 20139 20550 20580 21646 21920 22050 22120 22752 23016 23226 23520 23700 23975 24660 24696 24865 24885 25200 25725 26544 26852 27097 27400 27440 27650 28440 28770 29400 29838 30688 30825 30870 30968 31600 32469 32880 32928 33180 33565 34300 34524 34811 34839 35280 35550 37920 38360 38710 39200 39456 39784 39816 40278 41100 41160 41475 43155 43292 44100 44240 44757 46032 46452 46991 47400 47950 49320 49392 49730 49770 50400 51450 53088 53704 54115 54194 54800 54880 55300 56880 57540 58065 58800 59676 60417 61650 61740 61936 63200 64938 65760 66360 67130 68600 69048 69622 69678 70560 71100 71925 74595 75761 76720 77175 77420 79568 79632 80556 81291 82200 82320 82950 86310 86584 88200 88480 89514 92064 92904 93982 94800 95900 96775 97407 98640 98784 99460 99540 100695 102900 104433 107408 108230 108388 109600 110600 113760 115080 116130 117600 119352 120834 123300 123480 123872 124325 124425 129876 132720 134260 135485 137200 138096 139244 139356 140973 142200 143850 149190 151522 153440 154350 154840 159136 159264 161112 162345 162582 164400 164640 165900 167825 172620 173168 174055 174195 176400 179028 185808 187964 189600 191800 193550 194814 197280 198920 199080 201390 205800 208866 214816 215775 216460 216776 221200 223785 227283 230160 232260 234955 238704 241668 243677 243873 246600 246960 248650 248850 259752 265440 268520 270575 270970 274400 276192 278488 278712 281946 284400 287700 290325 298380 302085 303044 308700 309680 313299 322224 324690 325164 328800 331800 335650 345240 346336 348110 348390 352800 358056 371616 372975 375928 378805 383600 387100 389628 392867 397840 398160 402780 406455 411600 417732 422919 431550 432920 433552 442400 447570 454566 460320 464520 469910 477408 483336 487035 487354 487746 493200 493920 497300 497700 503475 519504 522165 530327 537040 541150 541940 556976 557424 563892 568800 575400 580650 596760 604170 606088 617400 619360 626598 644448 649380 650328 663600 671300 677425 681301 681849 690480 696220 696780 704865 716112 731031 745950 751856 757610 767200 774200 779256 785734 795680 796320 805560 811725 812910 823200 835464 845838 863100 865840 867104 870275 870975 895140 909132 929040 939820 966672 974070 974708 975492 986400 994600 995400 1006950 1039008 1044330 1060654 1074080 1082300 1083880 1113952 1114848 1118925 1127784 1136415 1150800 1161300 1174775 1178601 1193520 1208340 1212176 1218385 1219365 1234800 1253196 1298760 1300656 1327200 1342600 1354850 1362602 1363698 1380960 1392440 1393560 1409730 1432224 1462062 1491900 1503712 1510425 1515220 1548400 1558512 1566495 1571468 1590981 1611120 1623450 1625820 1670928 1691676 1705739 1726200 1731680 1740550 1741950 1790280 1818264 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538227790 539013524 545040800 545479200 550013800 556843350 565728480 572292840 577514490 584824800 593966240 600907482 613170900 614066040 616015456 618765525 636392400 645873348 660016560 667674980 668212020 673766905 682295600 686751408 693017388 701058729 707160600 715366050 742457800 753518906 763057120 763670880 767582550 770019320 792019872 801209976 807341685 808520286 817561200 818754720 825020700 834593725 835265025 858439260 861164464 866271735 877237200 890949360 924023184 934744972 942880800 953821400 954588600 962524150 968810022 981073440 990024840 1001512470 1023443400 1068279968 1069139232 1073049075 1076455580 1078027048 1100027600 1113686700 1130278359 1144585680 1155028980 1168431215 1201814964 1212780429 1226341800 1228132080 1237531050 1272784800 1291746696 1320033120 1335349960 1336424040 1345569475 1347533810 1364591200 1373502816 1386034776 1402117458 1414321200 1430732100 1443786225 1484915600 1502268705 1507037812 1535165100 1540038640 1602419952 1614683370 1617040572 1635122400 1650041400 1669187450 1670530050 1716878520 1722328928 1732543470 1754474400 1781898720 1848046368 1869489944 1883797265 1907642800 1909177200 1925048300 1937620044 1980049680 2003024940 2021300715 2046886800 2103176187 2146098150 2152911160 2156054096 2200055200 2227373400 2260556718 2289171360 2310057960 2336862430 2403629928 2422025055 2425560858 2452683600 2456264160 2475062100 2503781175 2583493392 2637316171 2670699920 2672848080 2691138950 2695067620 2772069552 2804234916 2828642400 2861464200 2887572450 2969831200 3004537410 3014075624 3070330200 3080077280 3204839904 3229366740 3234081144 3300082800 3338374900 3341060100 3368834525 3390835077 3433757040 3465086940 3505293645 3738979888 3767594530 3815285600 3818354400 3850096600 3875240088 3960099360 4006049880 4036708425 4042601430 4093773600 4206352374 4292196300 4305822320 4312108192 4331358675 4454746800 4521113436 4620115920 4673724860 4807259856 4844050110 4851121716 4905367200 4950124200 5007562350 5166986784 5274632342 5341399840 5345696160 5382277900 5390135240 5544139104 5608469832 5651391795 5722928400 5775144900 5842156075 6009074820 6028151248 6063902145 6140660400 6458733480 6468162288 6600165600 6676749800 6682120200 6737669050 6781670154 6867514080 6930173880 7010587290 7477959776 7511343525 7535189060 7700193200 7750480176 7911948513 8012099760 8073416850 8085202860 8412704748 8584392600 8611644640 8662717350 8909493600 9042226872 9240231840 9347449720 9418986325 9614519712 9688100220 9702243432 9900248400 10015124700 10106503575 10515880935 10549264684 10764555800 10780270480 11216939664 11302783590 11445856800 11550289800 11684312150 12018149640 12056302496 12110125275 12127804290 12281320800 12917466960 12936324576 13186580855 13353499600 13364240400 13475338100 13563340308 13860347760 14021174580 15022687050 15070378120 15400386400 15500960352 15823897026 16024199520 16146833700 16170405720 16825409496 16954175385 17168785200 17325434700 17526468225 18084453744 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84127047480 84394117472 84770876925 90422268720 92306065985 93474497200 94943382156 96881002200 97022434320 105158809350 105492646840 107802704800 108506722464 110767279182 112169396640 113027835900 118679227695 120181496400 121278042900 126591176208 129174669600 131865808550 135633403080 138603477600 140211745800 147689705576 150703781200 158238970260 161704057200 166150918773 168254094960 169541753850 180844537440 184612131970 186948994400 189886764312 193762004400 194044868640 197798712825 210317618700 210985293680 221534558364 226055671800 237358455390 240362992800 242556085800 253182352416 263731617100 271266806160 276918197955 280423491600 295379411152 301407562400 316477940520 323408114400 332301837546 336508189920 339083507700 369224263940 379773528624 387524008800 395597425650 420635237400 421970587360 443069116728 452111343600 461530329925 474716910780 485112171600 527463234200 542533612320 553836395910 560846983200 590758822304 593396138475 632955881040 664603675092 678167015400 738448527880 759547057248 791194851300 830754593865 841270474800 886138233456 904222687200 923060659850 949433821560 970224343200 1054926468400 1107672791820 1186792276950 1265911762080 1329207350184 1356334030800 1384590989775 1476897055760 1582389702600 1661509187730 1682540949600 1772276466912 1846121319700 1898867643120 2109852936800 2215345583640 2373584553900 2658414700368 2712668061600 2769181979550 2953794111520 3164779405200 3323018375460 3692242639400 3797735286240 4153772969325 4430691167280 4747169107800 5316829400736 5538363959100 6329558810400 6646036750920 7384485278800 8307545938650 8861382334560 9494338215600 11076727918200 13292073501840 14768970557600 16615091877300 18988676431200 22153455836400 26584147003680 33230183754600 44306911672800 66460367509200 132920735018400
- Sum of all divisors σ(n): 557674056576000
- Sum of proper divisors (its aliquot sum) s(n): 424753321557600
- 132920735018400 is an abundant number, because the sum of its proper divisors (424753321557600) is greater than itself. Its abundance is 291832586539200
Bases of 132920735018400
- Binary: 111100011100100000001010011000110101101101000002
- Hexadecimal: 0x78E40531ADA0
- Base-36: 1B46XXPUW0
Squares and roots of 132920735018400
- 132920735018400 squared (1329207350184002) is 17667921797831708048338560000
- 132920735018400 cubed (1329207350184003) is 2348433151615401801170680352131029504000000
-
The
square root of 132920735018400 is 11529125.5096993371 -
The
cube root of 132920735018400 is 51034.5447131339
Scales and comparisons
How big is 132920735018400?- 132,920,735,018,400 seconds is equal to 4,226,468 years, 11 weeks, 4 days, 2 hours.
-
To count from 1 to 132,920,735,018,400 would take you about ten million, five hundred sixty-six thousand, one hundred seventy 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 132920735018400 cubic inches would be around 4252.9 feet tall.
Recreational maths with 132920735018400
- 132920735018400 backwards is 004810537029231
- 132920735018400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 132920735018400's digits is 45
- More coming soon!
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"Number 132920735018400 - Facts about the integer". Numbermatics.com. 2024. Web. 18 May 2024.
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Numbermatics. (2024). Number 132920735018400 - Facts about the integer. Retrieved 18 May 2024, from https://numbermatics.com/n/132920735018400/
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The information we have on file for 132920735018400 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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