137670632406216
137,670,632,406,216 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137670632406216 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
137670632406216 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 137670632406216:
23 × 32 × 72 × 132 × 31 × 127 × 223 × 263
(2 × 2 × 2 × 3 × 3 × 7 × 7 × 13 × 13 × 31 × 127 × 223 × 263)See below for interesting mathematical facts about the number 137670632406216 from the Numbermatics database.
Names of 137670632406216
- Cardinal: 137670632406216 can be written as One hundred thirty-seven trillion, six hundred seventy billion, six hundred thirty-two million, four hundred six thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.37670632406216 × 1014
Factors of 137670632406216
Divisors of 137670632406216
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 31 36 39 42 49 52 56 62 63 72 78 84 91 93 98 104 117 124 126 127 147 156 168 169 182 186 196 217 223 234 248 252 254 263 273 279 294 312 338 364 372 381 392 403 434 441 446 468 504 507 508 526 546 558 588 637 651 669 676 728 744 762 789 806 819 868 882 889 892 936 1014 1016 1052 1092 1116 1143 1176 1183 1209 1274 1302 1338 1352 1519 1521 1524 1561 1578 1612 1638 1651 1736 1764 1778 1784 1841 1911 1953 2007 2028 2104 2184 2232 2286 2366 2367 2418 2548 2604 2667 2676 2821 2899 3038 3042 3048 3122 3156 3224 3276 3302 3419 3528 3549 3556 3627 3682 3822 3906 3937 4014 4056 4557 4572 4683 4732 4734 4836 4953 5096 5208 5239 5334 5352 5523 5642 5733 5798 6076 6084 6223 6244 6312 6552 6604 6838 6913 7098 7112 7254 7364 7644 7812 7874 8001 8028 8153 8281 8463 8697 9114 9144 9366 9464 9468 9672 9906 10257 10478 10647 10668 10927 11046 11284 11466 11557 11596 11811 12152 12168 12446 12488 12887 13208 13671 13676 13826 14049 14196 14508 14728 14859 15288 15624 15717 15748 16002 16056 16306 16562 16569 16926 17394 18228 18669 18732 18936 19747 19812 20293 20514 20739 20956 21294 21336 21463 21854 22092 22568 22932 23114 23192 23622 23933 24459 24843 24892 25389 25774 26091 27342 27352 27559 27652 28098 28321 28392 29016 29718 30771 31434 31496 32004 32612 32781 33124 33138 33401 33852 34671 34788 35433 36456 36673 37338 37464 37687 38661 39494 39624 40586 41028 41478 41912 42588 42926 43708 44184 44447 45864 46228 47151 47244 47866 48391 48918 49686 49784 50778 51181 51548 52182 54684 55118 55304 56007 56196 56642 57071 58649 59241 59436 60879 61542 62217 62868 64008 64389 65224 65562 66248 66276 66802 67704 69342 69576 70866 71799 73346 73377 74529 74676 75374 77322 78988 80899 81172 82056 82677 82956 84963 85176 85852 87416 88894 89869 92456 94302 94488 95732 96782 97836 98343 99372 100203 101556 102362 103096 104013 104364 105989 109368 110019 110236 112014 112392 113061 113284 114142 115983 117298 118482 118872 121758 123084 124434 125736 128778 131124 132552 133341 133604 138684 141732 142051 143598 145173 146692 146754 149058 149352 150241 150748 153543 154644 157976 161798 162344 165354 165912 167531 169926 171213 171704 175947 177723 177788 179738 182637 188604 191464 192913 193167 193564 195672 196686 198247 198744 200406 203112 204724 208026 208728 211978 215397 220038 220472 224028 226122 226568 228284 231966 233807 234596 236964 242697 243516 246168 248031 248868 254889 256711 257556 262248 263809 266682 267208 269607 277368 283464 284102 287196 290346 293384 293508 298116 300482 300609 301496 307086 309288 311129 317967 323596 330057 330708 335062 338737 339183 339852 342426 351894 355446 355576 358267 359476 365274 368173 377208 385826 386334 387128 393372 396494 399497 400023 400812 409448 410543 416052 423956 426153 430794 434213 435519 440076 448056 450723 452244 456568 460629 463932 467614 469192 473928 485394 487032 496062 497736 502593 509778 513422 513639 515112 527618 527841 533364 539214 568204 574392 578739 580692 587016 594741 596232 600964 601218 614172 622258 629083 635934 647192 660114 661416 665353 670124 677474 678366 679704 684852 701421 703788 710892 716534 718952 728091 730548 736346 741923 762437 770133 771652 772668 786744 791427 792988 798994 800046 801624 808821 821086 832104 847912 852306 861588 868426 871038 877951 880152 901446 904488 921258 927864 933387 935228 953901 970788 992124 1005186 1016211 1019556 1026844 1027278 1035431 1051687 1055236 1055682 1066728 1074801 1078428 1104519 1136408 1157478 1161384 1168297 1189482 1198491 1201928 1202436 1228344 1231629 1244516 1258166 1271868 1278459 1302639 1320228 1330706 1340248 1352169 1354948 1356732 1369704 1377857 1387729 1402842 1407576 1421784 1433068 1456182 1461096 1472692 1483846 1507779 1524874 1540266 1543304 1545336 1582854 1585976 1597988 1600092 1617642 1636649 1642172 1704612 1723176 1736217 1736852 1742076 1755902 1784223 1802892 1818119 1842516 1846663 1866774 1870456 1887249 1907802 1941576 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8442943236 8574404111 8603339108 8742102642 8759345448 8811484409 9005143407 9265134424 9347544297 9489290902 9697846746 9799318984 9957372516 10066586166 10070267896 10423276227 10682907768 11024233857 11061435996 11314154537 11329051383 11656136856 11872251846 11912315688 12006857876 12200516874 12463392396 12599124408 12905008662 12930462328 13139018172 13422114888 13897701636 14233936353 14540624462 14546770119 14698978476 15055843439 15105401844 15829669128 16267355832 16624880136 16885886472 17148808222 17206678216 17484205284 17622968818 18010286814 18695088594 18978581804 19357512993 19395693492 19914745032 20133172332 20846552454 21012001283 21810936693 22048467714 22122871992 22628309074 22658102766 23744503692 24013715752 24401033748 24926784792 25723212333 25810017324 26278036344 26434453227 27015430221 27795403272 28467872706 29081248924 29093540238 29397956952 30111686878 30210803688 33942463611 34297616444 34968410568 35245937636 36020573628 37390177188 37957163608 38715025986 38791386984 39022288097 40266344664 41693104908 42024002566 42701809059 43621873386 44096935428 45167530317 45256618148 45316205532 47489007384 48802067496 51446424666 51620034648 52868906454 54030860442 56935745412 58162497848 58187080476 60223373756 61680390863 63036003849 65432810079 67884927222 68595232888 70491875272 72041147256 74780354376 77169636999 77430051972 78044576194 79303359681 83386209816 84048005132 85403618118 87243746772 88193870856 90335060634 90513236296 90632411064 101827390833 102892849332 105737812908 108061720884 113871490824 116374160952 117066864291 120446747512 123360781726 126072007698 130865620158 135502590951 135769854444 147084008981 154339273998 154860103944 156089152388 158606719362 168096010264 170807236236 174487493544 180670121268 185041172589 189108011547 203654781666 205785698664 211475625816 216123441768 234133728582 246721563452 252144015396 261731240316 271005181902 271539708888 273156016679 294168017962 308678547996 312178304776 317213438724 341614472472 351200592873 361340242536 370082345178 378216023094 407309563332 441252026943 468267457164 493443126904 504288030792 523462480632 542010363804 546312033358 555123517767 588336035924 617357095992 634426877448 702401185746 740164690356 756432046188 814619126664 819468050037 882504053886 936534914328 1084020727608 1092624066716 1110247035534 1176672071848 1323756080829 1404802371492 1480329380712 1512864092376 1638936100074 1765008107772 1912092116753 2185248133432 2220494071068 2458404150111 2647512161658 2809604742984 3277872200148 3530016215544 3824184233506 4440988142136 4916808300222 5295024323316 5736276350259 6555744400296 7648368467012 9833616600444 10590048646632 11472552700518 15296736934024 17208829050777 19667233200888 22945105401036 34417658101554 45890210802072 68835316203108 137670632406216
- Sum of all divisors σ(n): 492688527851520
- Sum of proper divisors (its aliquot sum) s(n): 355017895445304
- 137670632406216 is an abundant number, because the sum of its proper divisors (355017895445304) is greater than itself. Its abundance is 217347263039088
Bases of 137670632406216
- Binary: 111110100110101111100010010001111111100110010002
- Hexadecimal: 0x7D35F123FCC8
- Base-36: 1CST0JZFM0
Squares and roots of 137670632406216
- 137670632406216 squared (1376706324062162) is 18953203027127451062035438656
- 137670632406216 cubed (1376706324062163) is 2609299446868043653127094706784538341085696
-
The
square root of 137670632406216 is 11733312.9339592745 -
The
cube root of 137670632406216 is 51635.3473035973
Scales and comparisons
How big is 137670632406216?- 137,670,632,406,216 seconds is equal to 4,377,500 years, 13 weeks, 6 days, 7 hours, 3 minutes, 36 seconds.
-
To count from 1 to 137,670,632,406,216 would take you about ten million, nine hundred forty-three thousand, seven hundred fifty 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 137670632406216 cubic inches would be around 4302.9 feet tall.
Recreational maths with 137670632406216
- 137670632406216 backwards is 612604236076731
- The number of decimal digits it has is: 15
- The sum of 137670632406216's digits is 54
- More coming soon!
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"Number 137670632406216 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 137670632406216 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/137670632406216/
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The information we have on file for 137670632406216 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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