132768136800
132,768,136,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 132768136800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1440 divisors.
132768136800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 132768136800:
25 × 34 × 52 × 13 × 17 × 73 × 127
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 17 × 73 × 127)See below for interesting mathematical facts about the number 132768136800 from the Numbermatics database.
Names of 132768136800
- Cardinal: 132768136800 can be written as One hundred thirty-two billion, seven hundred sixty-eight million, one hundred thirty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.327681368 × 1011
Factors of 132768136800
Divisors of 132768136800
- Number of divisors d(n): 1440
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 27 30 32 34 36 39 40 45 48 50 51 52 54 60 65 68 72 73 75 78 80 81 85 90 96 100 102 104 108 117 120 127 130 135 136 144 146 150 153 156 160 162 170 180 195 200 204 208 216 219 221 225 234 240 254 255 260 270 272 288 292 300 306 312 324 325 340 351 360 365 381 390 400 405 408 416 425 432 438 442 450 459 468 480 508 510 520 540 544 584 585 600 612 624 635 648 650 657 663 675 680 702 720 730 762 765 780 800 810 816 850 864 876 884 900 918 936 949 975 1016 1020 1040 1053 1080 1095 1105 1143 1168 1170 1200 1224 1241 1248 1270 1275 1296 1300 1314 1326 1350 1360 1377 1404 1440 1460 1524 1530 1560 1620 1632 1651 1700 1752 1755 1768 1800 1825 1836 1872 1898 1905 1950 1971 1989 2025 2032 2040 2080 2106 2159 2160 2190 2210 2286 2295 2336 2340 2400 2448 2482 2540 2550 2592 2600 2628 2652 2700 2720 2754 2808 2847 2920 2925 3048 3060 3120 3175 3240 3285 3302 3315 3400 3429 3504 3510 3536 3600 3650 3672 3723 3744 3796 3810 3825 3900 3942 3978 4050 4064 4080 4212 4318 4320 4380 4420 4572 4590 4680 4745 4896 4953 4964 5080 5100 5200 5256 5265 5304 5400 5475 5508 5525 5616 5694 5715 5840 5850 5913 5967 6096 6120 6205 6240 6350 6477 6480 6570 6604 6630 6800 6858 6885 7008 7020 7072 7200 7300 7344 7446 7592 7620 7650 7800 7884 7956 8100 8160 8255 8424 8541 8636 8760 8775 8840 9144 9180 9271 9360 9490 9525 9855 9906 9928 9945 10160 10200 10287 10400 10512 10530 10608 10795 10800 10950 11016 11050 11169 11232 11388 11430 11475 11680 11700 11826 11934 12192 12240 12410 12700 12954 12960 13140 13208 13260 13600 13716 13770 14040 14235 14600 14688 14859 14892 15184 15240 15300 15600 15768 15912 16133 16200 16425 16510 16575 16848 17082 17145 17272 17520 17550 17680 17901 18288 18360 18542 18615 18720 18980 19050 19431 19710 19812 19856 19890 20320 20400 20574 21024 21060 21216 21590 21600 21900 22032 22100 22338 22776 22860 22950 23400 23652 23725 23868 24480 24765 24820 25400 25623 25908 26280 26325 26416 26520 27432 27540 27813 28067 28080 28470 28575 29200 29565 29718 29784 29835 30368 30480 30600 31025 31200 31536 31824 32266 32385 32400 32850 33020 33150 33507 33696 34164 34290 34425 34544 35040 35100 35360 35802 36576 36720 37084 37230 37960 38100 38862 39420 39624 39712 39780 40800 41148 41275 42120 42705 43180 43800 44064 44200 44577 44676 45552 45720 45900 46355 46800 47304 47450 47736 48399 49275 49530 49640 49725 50800 51246 51435 51816 52560 52650 52832 53040 53975 54864 55080 55626 55845 56134 56160 56940 57150 58293 58400 59130 59436 59568 59670 60960 61200 62050 63072 63648 64532 64770 64800 65700 66040 66300 67014 68328 68580 68850 69088 70200 71175 71604 73440 74168 74295 74460 75920 76200 76869 77724 78840 79248 79560 80665 82296 82550 83439 84201 84240 85410 85725 86360 87600 88400 89154 89352 89505 91104 91440 91800 92710 93075 93600 94608 94900 95472 96798 97155 98550 99060 99280 99450 100521 101600 102492 102870 103632 105120 105300 106080 107950 109728 110160 111252 111690 112268 113880 114300 116586 118260 118872 119136 119340 120523 122400 123825 124100 128115 129064 129540 131400 132080 132600 133731 134028 136656 137160 137700 139065 140335 140400 142350 143208 145197 147825 148336 148590 148920 149175 151840 152400 153738 155448 157607 157680 158496 159120 161330 161925 164592 165100 166878 167535 168402 168480 170820 171450 172720 174879 175200 176800 178308 178704 179010 182880 183600 185420 186150 189216 189800 190944 193596 194310 197100 198120 198560 198900 201042 204984 205740 207264 210600 213525 215900 220320 222504 222885 223380 224536 227760 228600 231775 233172 236520 237744 238680 241046 241995 247650 248200 250317 252603 256230 257175 258128 259080 262800 264160 265200 267462 268056 273312 274320 275400 278130 279225 280670 280800 284700 286416 290394 291465 295650 296672 297180 297840 298350 304800 307476 310896 315214 315360 318240 322660 323850 329184 330200 333756 335070 336804 341640 342900 345440 349758 356616 357408 358020 361569 367200 370840 371475 372300 379600 384345 387192 388620 394200 396240 397800 402084 403325 409968 411480 417195 421005 421200 427050 431800 435591 445008 445770 446760 447525 449072 455520 457200 463550 466344 472821 473040 475488 477360 482092 483990 485775 495300 496400 500634 502605 505206 512460 514350 516256 518160 525600 530400 534924 536112 548640 550800 556260 558450 561340 569400 572832 580788 582930 591300 594360 595680 596700 602615 614952 621792 630428 640575 645320 647700 660400 667512 668655 670140 673608 683280 685800 695325 699516 701675 713232 716040 723138 725985 741680 742950 744600 750951 757809 759200 768690 774384 777240 788035 788400 792480 795600 804168 806650 819936 822960 834390 837675 842010 842400 854100 863600 871182 874395 890016 891540 893520 895050 898144 914400 927100 932688 945642 946080 954720 964184 967980 971550 990600 992800 1001268 1005210 1010412 1024920 1028700 1036320 1069848 1072224 1084707 1101600 1112520 1114425 1116900 1122680 1138800 1161576 1165860 1182600 1188720 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11658600 11820525 11887200 12015216 12052300 12124944 12293346 12299040 12515850 12608560 12630150 12766167 12906400 13016484 13067730 13350240 13373100 13402800 13472160 13938912 13990320 14184630 14320800 14462760 14519700 15019020 15130272 15156180 15373800 15544800 15760700 16083360 16270605 16391128 16687800 16840200 17021556 17355312 17423640 17487900 17830800 18078450 18187416 18440019 18773775 18912840 18945225 19283680 19359600 19524726 20025360 20104200 20208240 20488910 20498400 20908368 21276945 21396960 21694140 21779550 22250400 22453600 22695408 22734270 23231520 23317200 23641050 24030432 24104600 24249888 24586692 25031700 25217120 25260300 25532334 26032968 26135460 26746200 26805600 27117675 27980640 28369260 28925520 29039400 30038040 30312360 30733365 30747600 31521400 32541210 32669325 32782256 33375600 33680400 34043112 34710624 34847280 34975800 35461575 35661600 36156900 36374832 36880038 37547550 37825680 37890450 38719200 39049452 40050720 40208400 40416480 40977820 41816736 42553890 43388280 43559100 45390816 45468540 46634400 47282100 48209200 48811815 49173384 50063400 50520600 51064668 51222275 52065936 52270920 53492400 54235350 55320057 56738520 56835675 57851040 58078800 60076080 60624720 61466730 61495200 63042800 63830835 65082420 65338650 65564512 66751200 67360800 68086224 69694560 69951600 70923150 72313800 72749664 73760076 75095100 75651360 75780900 78098904 80416800 81353025 81955640 85107780 86776560 87118200 90937080 92200095 94564200 96418400 97623630 98346768 100126800 101041200 102129336 102444550 104131872 104541840 106384725 106984800 108470700 110640114 113477040 113671350 116157600 120152160 121249440 122933460 126085600 127661670 130164840 130677300 136172448 139903200 141846300 144627600 147520152 150190200 151561800 153666825 156197808 162706050 163911280 165960171 170215560 173553120 174236400 181874160 184400190 189128400 195247260 196693536 200253600 202082400 204258672 204889100 209083680 212769450 216941400 221280228 226954080 227342700 244059075 245866920 255323340 260329680 261354600 276600285 283692600 289255200 295040304 300380400 303123600 307333650 312395616 319154175 325412100 327822560 331920342 340431120 348472800 363748320 368800380 378256800 390494520 408517344 409778200 425538900 433882800 442560456 454685400 461000475 488118150 491733840 510646680 520659360 522709200 553200570 567385200 590080608 600760800 606247200 614667300 638308350 650824200 663840684 680862240 737600760 780989040 819556400 829800855 851077800 867765600 885120912 909370800 922000950 976236300 983467680 1021293360 1045418400 1106401140 1134770400 1229334600 1276616700 1301648400 1327681368 1383001425 1475201520 1561978080 1639112800 1659601710 1702155600 1770241824 1818741600 1844001900 1952472600 2042586720 2212802280 2458669200 2553233400 2603296800 2655362736 2766002850 2950403040 3319203420 3404311200 3688003800 3904945200 4149004275 4425604560 4917338400 5106466800 5310725472 5532005700 6638406840 7376007600 7809890400 8298008550 8851209120 10212933600 11064011400 13276813680 14752015200 16596017100 22128022800 26553627360 33192034200 44256045600 66384068400 132768136800
- Sum of all divisors σ(n): 564065897472
- Sum of proper divisors (its aliquot sum) s(n): 431297760672
- 132768136800 is an abundant number, because the sum of its proper divisors (431297760672) is greater than itself. Its abundance is 298529623872
Bases of 132768136800
- Binary: 11110111010011001100011111110011000002
- Hexadecimal: 0x1EE998FE60
- Base-36: 1OZQPY00
Squares and roots of 132768136800
- 132768136800 squared (1327681368002) is 17627378149343514240000
- 132768136800 cubed (1327681368003) is 2340354153557370528809068032000000
-
The
square root of 132768136800 is 364373.6225359899 -
The
cube root of 132768136800 is 5101.5007348185
Scales and comparisons
How big is 132768136800?- 132,768,136,800 seconds is equal to 4,221 years, 32 weeks, 6 hours.
-
To count from 1 to 132,768,136,800 would take you about eight thousand, four hundred forty-three 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 132768136800 cubic inches would be around 425.1 feet tall.
Recreational maths with 132768136800
- 132768136800 backwards is 008631867231
- 132768136800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 132768136800's digits is 45
- More coming soon!
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The information we have on file for 132768136800 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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