2137952796672

Names of 2137952796672

• Cardinal: 2137952796672 can be written as Two trillion, one hundred thirty-seven billion, nine hundred fifty-two million, seven hundred ninety-six thousand, six hundred seventy-two.

Scientific notation

• Scientific notation: 2.137952796672 × 10¹²

Factors of 2137952796672

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 188

Divisors of 2137952796672

• Number of divisors d(n): 1440
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 14 16 17 21 22 24 28 32 33 34 42 44 47 48 49 51 56 64 66 68 77 84 88 94 96 98 101 102 112 119 128 132 136 141 147 154 168 176 187 188 192 196 202 204 224 231 238 256 264 272 282 294 303 308 329 336 352 357 374 376 384 392 404 408 448 462 476 512 517 528 539 544 561 564 588 606 616 658 672 704 707 714 748 752 768 784 799 808 816 833 896 924 952 987 1024 1034 1056 1078 1088 1111 1122 1128 1176 1212 1232 1309 1316 1344 1408 1414 1428 1496 1504 1536 1551 1568 1598 1616 1617 1632 1666 1717 1792 1848 1904 1974 2048 2068 2112 2121 2156 2176 2222 2244 2256 2303 2352 2397 2424 2464 2499 2618 2632 2688 2816 2828 2856 2992 3008 3072 3102 3136 3196 3232 3234 3264 3332 3333 3434 3584 3619 3696 3808 3927 3948 4096 4136 4224 4242 4312 4352 4444 4488 4512 4606 4704 4747 4794 4848 4928 4949 4998 5151 5236 5264 5376 5593 5632 5656 5712 5984 6016 6144 6204 6272 6392 6464 6468 6528 6664 6666 6868 6909 7168 7238 7392 7616 7777 7854 7896 8192 8272 8448 8484 8624 8704 8789 8888 8976 9024 9163 9212 9408 9494 9588 9696 9856 9898 9996 10302 10472 10528 10752 10857 11186 11264 11312 11424 11968 12019 12032 12288 12408 12544 12784 12928 12936 13056 13328 13332 13736 13818 14241 14336 14476 14784 14847 15232 15554 15708 15792 16384 16544 16779 16896 16968 17248 17408 17578 17776 17952 18048 18326 18424 18816 18887 18988 19176 19392 19712 19796 19992 20604 20944 21056 21504 21714 22372 22528 22624 22848 23331 23936 24038 24064 24576 24816 25088 25333 25568 25856 25872 26112 26367 26656 26664 27472 27489 27636 28482 28672 28952 29568 29694 30464 31108 31416 31584 33088 33229 33558 33792 33936 34496 34816 35156 35552 35904 36057 36096 36652 36848 37632 37774 37976 38352 38784 39151 39424 39592 39984 41208 41888 42112 43008 43428 44744 45056 45248 45696 46662 47872 48076 48128 49152 49632 50176 50666 51136 51712 51744 52217 52224 52734 53312 53328 54439 54944 54978 55272 56661 56964 57344 57904 59136 59388 60928 61523 62216 62832 63168 66176 66458 67116 67584 67872 68992 69632 70312 71104 71808 72114 72192 73304 73696 75264 75548 75952 75999 76704 77568 78302 78848 79184 79968 80699 82416 83776 84133 84224 86016 86856 89488 90112 90496 91392 93324 95744 96152 96256 99264 99687 100352 101332 102272 103424 103488 104434 104448 105468 106624 106656 108878 109888 109956 110544 113322 113928 114688 115808 117453 118272 118776 121856 123046 124432 125664 126336 132209 132352 132916 134232 135168 135744 137984 139264 140624 142208 143616 144228 144384 146608 147392 150528 151096 151904 151998 153408 155136 156604 156651 157696 158368 159936 161398 163317 164832 167552 168266 168448 172032 173712 178976 180224 180992 182784 184569 186648 191488 192304 192512 198528 199374 200704 202664 204544 206848 206976 208868 208896 210936 213248 213312 217756 219776 219912 221088 226644 227856 231616 232603 234906 236544 237552 242097 243712 246092 248864 251328 252399 252672 264418 264704 265832 268464 270336 271488 275968 278528 281248 284416 287232 288456 288768 293216 294784 301056 302192 303808 303996 306816 310272 313208 313302 315392 316736 319872 322796 326634 329664 335104 336532 336896 344064 347424 357952 361984 365519 365568 369138 373296 382976 384608 385024 396627 397056 398748 401408 405328 409088 413696 413952 417736 417792 421872 426496 426624 430661 435512 439552 439824 442176 453288 455712 463232 465206 469812 473088 475104 484194 487424 492184 497728 502656 504798 505344 528836 529408 531664 536928 540672 542976 551936 562496 564893 568832 574464 576912 577536 586432 589568 602112 604384 607616 607992 613632 620544 626416 626604 630784 633472 639744 645592 653268 659328 670208 673064 673792 694848 697809 715904 723968 731038 731136 738276 746592 765952 769216 770048 793254 794112 797496 802816 810656 818176 827392 827904 835472 835584 843744 852992 853248 861322 871024 879104 879648 884352 887689 906576 911424 925463 926464 930412 939624 946176 950208 968388 974848 984368 995456 1005312 1009596 1010688 1057672 1058816 1063328 1073856 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3389358 3411968 3412992 3445288 3484096 3516416 3518592 3537408 3550756 3626304 3645696 3701852 3705856 3721648 3758496 3784704 3800832 3873552 3937472 3954251 3981824 4021248 4038384 4042752 4230688 4235264 4253312 4295424 4343808 4386228 4415488 4499968 4519144 4550656 4595712 4615296 4691456 4716544 4835072 4860928 4863936 4909056 4964352 5011328 5012832 5067776 5117266 5117952 5164736 5167932 5226144 5274624 5326134 5361664 5384512 5390336 5552778 5558784 5582472 5727232 5791744 5848304 5849088 5906208 5972736 6153728 6213823 6346032 6352896 6379968 6485248 6545408 6623232 6683776 6749952 6778716 6823936 6825984 6890576 6968192 7032832 7037184 7074816 7101512 7252608 7291392 7403704 7411712 7443296 7516992 7601664 7675899 7747104 7874944 7908502 7963648 8042496 8076768 8085504 8461376 8470528 8506624 8590848 8687616 8772456 8830976 8999936 9038288 9101312 9191424 9230592 9382912 9433088 9670144 9721856 9727872 9818112 10022656 10025664 10135552 10234532 10235904 10329472 10335864 10452288 10549248 10652268 10723328 10769024 11105556 11117568 11164944 11454464 11583488 11696608 11812416 11862753 11945472 12307456 12427646 12692064 12705792 12759936 12970496 13090816 13246464 13367552 13499904 13557432 13647872 13651968 13781152 13936384 14065664 14074368 14149632 14203024 14505216 14582784 14807408 14823424 14886592 15033984 15203328 15351798 15494208 15749888 15817004 15927296 16084992 16153536 16171008 16922752 17013248 17181696 17375232 17544912 17999872 18076576 18202624 18461184 18641469 18765824 18866176 19340288 19443712 19455744 19636224 20045312 20051328 20271104 20469064 20471808 20658944 20671728 20904576 21098496 21304536 21446656 21538048 22211112 22235136 22329888 22908928 23393216 23624832 23725506 23890944 24614912 24855292 25384128 25411584 25519872 25940992 26492928 26735104 26999808 27114864 27303936 27562304 27872768 28131328 28148736 28299264 28406048 29010432 29165568 29614816 29646848 29773184 30067968 30406656 30703596 30988416 31499776 31634008 31854592 32169984 32307072 33845504 34026496 34363392 34750464 35089824 35999744 36153152 36922368 37282938 37531648 37732352 38680576 38887424 38911488 39272448 40090624 40102656 40542208 40938128 40943616 41317888 41343456 41809152 42196992 42609072 43076096 43496761 44422224 44470272 44659776 45817856 46786432 47249664 47451012 47781888 49229824 49710584 50768256 51039744 51881984 53470208 53999616 54229728 54607872 55124608 55745536 56297472 56598528 56812096 58020864 58331136 59229632 59293696 59546368 60135936 60813312 61407192 61976832 62999552 63268016 63709184 64339968 64614144 67691008 68052992 68726784 70179648 71999488 72306304 73844736 74565876 75063296 77361152 77774848 77822976 80181248 80205312 81084416 81876256 82635776 82686912 83618304 84393984 85218144 86152192 86993522 88844448 88940544 89319552 91635712 93572864 94499328 94902024 95563776 98459648 99421168 101536512 102079488 103763968 106940416 107999232 108459456 110249216 111491072 112594944 113197056 113624192 116041728 116662272 118459264 119092736 120271872 121626624 122814384 123953664 125999104 126536032 127418368 129228288 130490283 135382016 136105984 137453568 140359296 143998976 144612608 147689472 149131752 150126592 154722304 155645952 160362496 160410624 163752512 165271552 165373824 167236608 170436288 172304384 173987044 177688896 177881088 178639104 187145728 188998656 189804048 191127552 196919296 198842336 203073024 204158976 207527936 213880832 215998464 216918912 220498432 222982144 225189888 227248384 232083456 233324544 236918528 238185472 240543744 243253248 245628768 247907328 251998208 253072064 258456576 260980566 270764032 272211968 274907136 280718592 289225216 295378944 298263504 309444608 311291904 320724992 320821248 327505024 330543104 330747648 334473216 340872576 344608768 347974088 355377792 357278208 374291456 377997312 379608096 382255104 397684672 406146048 408317952 415055872 427761664 431996928 433837824 440996864 445964288 450379776 454496768 464166912 473837056 476370944 481087488 491257536 495814656 503996416 506144128 516913152 521961132 541528064 544423936 561437184 578450432 590757888 596527008 622583808 641449984 641642496 655010048 661086208 661495296 668946432 681745152 689217536 695948176 710755584 714556416 748582912 755994624 759216192 795369344 812292096 816635904 855523328 867675648 881993728 891928576 908993536 928333824 947674112 952741888 962174976 982515072 991629312 1007992832 1012288256 1033826304 1043922264 1083056128 1122874368 1156900864 1193054016 1245167616 1283284992 1310020096 1322172416 1322990592 1337892864 1363490304 1378435072 1391896352 1421511168 1429112832 1497165824 1511989248 1518432384 1590738688 1624584192 1633271808 1735351296 1763987456 1817987072 1895348224 1905483776 1924349952 1965030144 1983258624 2024576512 2067652608 2087844528 2166112256 2245748736 2313801728 2386108032 2566569984 2620040192 2645981184 2675785728 2726980608 2783792704 2843022336 2858225664 2994331648 3023978496 3036864768 3181477376 3249168384 3470702592 3527974912 3635974144 3790696448 3810967552 3930060288 3966517248 4049153024 4135305216 4175689056 4491497472 4627603456 4772216064 5240080384 5291962368 5453961216 5567585408 5686044672 5716451328 5988663296 6073729536 6362954752 6498336768 6941405184 7055949824 7271948288 7581392896 7860120576 8098306048 8351378112 8982994944 9255206912 9544432128 10480160768 10583924736 10907922432 11135170816 11372089344 11432902656 12147459072 12725909504 13882810368 14543896576 15162785792 15720241152 16196612096 16702756224 17965989888 19088864256 20960321536 21167849472 21815844864 22270341632 22744178688 24294918144 25451819008 27765620736 31440482304 32393224192 33405512448 38177728512 41920643072 43631689728 44540683264 45488357376 48589836288 50903638016 62880964608 64786448384 66811024896 76355457024 89081366528 97179672576 101807276032 125761929216 133622049792 152710914048 178162733056 194359345152 267244099584 305421828096 356325466112 534488199168 712650932224 1068976398336 2137952796672
• Sum of all divisors σ(n): 7900720321536
• Sum of proper divisors (its aliquot sum) s(n): 5762767524864
• 2137952796672 is an abundant number, because the sum of its proper divisors (5762767524864) is greater than itself. Its abundance is 3624814728192

Bases of 2137952796672

• Binary: 11111000111000111111010101100000000000000₂
• Hexadecimal: 0x1F1C7EAC000
• Base-36: RA5TW7PC

Squares and roots of 2137952796672

• 2137952796672 squared (2137952796672²) is 4570842160797626174275584
• 2137952796672 cubed (2137952796672³) is 9772244780823572401511272876446056448
• The square root of 2137952796672 is 1462173.9967158491
• The cube root of 2137952796672 is 12882.4768519579

Scales and comparisons

• 2,137,952,796,672 seconds is equal to 67,980 years, 14 weeks, 6 days, 51 minutes, 12 seconds.
• To count from 1 to 2,137,952,796,672 would take you about one hundred sixty-nine thousand, nine 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 2137952796672 cubic inches would be around 1073.5 feet tall.

Recreational maths with 2137952796672

• 2137952796672 backwards is 2766972597312
• 2137952796672 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 2137952796672's digits is 66
• More coming soon!