31714198005672
31,714,198,005,672 is an even composite number composed of six prime numbers multiplied together.
What does the number 31714198005672 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
31714198005672 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 31714198005672:
23 × 311 × 72 × 13 × 19 × 432
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 13 × 19 × 43 × 43)See below for interesting mathematical facts about the number 31714198005672 from the Numbermatics database.
Names of 31714198005672
- Cardinal: 31714198005672 can be written as Thirty-one trillion, seven hundred fourteen billion, one hundred ninety-eight million, five thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 3.1714198005672 × 1013
Factors of 31714198005672
Divisors of 31714198005672
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 18 19 21 24 26 27 28 36 38 39 42 43 49 52 54 56 57 63 72 76 78 81 84 86 91 98 104 108 114 117 126 129 133 147 152 156 162 168 171 172 182 189 196 216 228 234 243 247 252 258 266 273 294 301 312 324 342 344 351 364 378 387 392 399 441 456 468 486 494 504 513 516 532 546 559 567 588 602 637 648 684 702 728 729 741 756 774 798 817 819 882 903 931 936 972 988 1026 1032 1053 1064 1092 1118 1134 1161 1176 1197 1204 1274 1323 1368 1404 1458 1482 1512 1539 1548 1596 1634 1638 1677 1701 1729 1764 1806 1849 1862 1911 1944 1976 2052 2106 2107 2184 2187 2223 2236 2268 2322 2394 2408 2451 2457 2548 2646 2709 2793 2808 2916 2964 3078 3096 3159 3192 3268 3276 3354 3402 3458 3483 3528 3591 3612 3698 3724 3822 3913 3969 4104 4212 4214 4374 4446 4472 4536 4617 4644 4788 4902 4914 5031 5096 5103 5187 5292 5418 5547 5586 5719 5733 5832 5928 6156 6318 6321 6536 6552 6561 6669 6708 6804 6916 6966 7182 7224 7353 7371 7396 7448 7644 7826 7938 8127 8379 8424 8428 8748 8892 9234 9288 9477 9576 9804 9828 10062 10206 10374 10449 10584 10621 10773 10836 11094 11172 11438 11466 11739 11907 12103 12312 12636 12642 12943 13122 13338 13416 13608 13832 13851 13932 14364 14706 14742 14792 15093 15288 15309 15561 15652 15876 16254 16641 16758 16856 17157 17199 17496 17784 18468 18954 18963 19608 19656 19683 20007 20124 20412 20748 20898 21242 21546 21672 22059 22113 22188 22344 22876 22932 23478 23814 24037 24206 24381 25137 25272 25284 25886 26244 26676 27391 27702 27864 28431 28728 29412 29484 30186 30618 31122 31304 31347 31752 31863 32319 32508 33282 33516 34314 34398 35131 35217 35721 36309 36936 37908 37926 38829 39366 40014 40033 40248 40824 41496 41553 41796 42484 43092 44118 44226 44376 45279 45752 45864 45927 46683 46956 47628 48074 48412 48762 49923 50274 50568 51471 51597 51772 52488 53352 54782 55404 56862 56889 58824 58968 59049 60021 60372 61236 62244 62694 63726 64638 65016 66177 66339 66564 67032 68628 68796 70262 70434 71442 72111 72618 73143 74347 75411 75816 75852 77658 78732 80028 80066 82173 83106 83592 84968 85293 86184 88236 88452 90558 90601 91854 93366 93912 94041 95256 95589 96148 96824 96957 97524 99846 100548 102942 103194 103544 105393 105651 107163 108927 109564 110808 113724 113778 116487 118098 120042 120099 120744 122472 124488 124659 125388 127452 129276 132354 132678 133128 135837 137256 137592 137781 140049 140524 140868 142884 144222 145236 146286 148694 149769 150822 151704 154413 154791 155316 157464 160056 160132 164346 166212 168259 170586 170667 176472 176904 177147 180063 181116 181202 183708 186732 188082 191178 192296 193914 195048 198531 199017 199692 201096 205884 206388 210786 211302 214326 216333 217854 219128 219429 223041 226233 227448 227556 232974 236196 240084 240198 245917 246519 249318 250776 254904 255879 258552 264708 265356 271674 271803 275562 280098 281048 281736 282123 285768 286767 288444 290472 290871 292572 297388 299538 301644 308826 309582 310632 316179 316953 320264 321489 326781 328692 332424 336518 341172 341334 349461 354294 360126 360297 362232 362404 367416 373464 373977 376164 382356 387828 397062 398034 399384 407511 411768 412776 413343 420147 421572 422604 428652 432666 435708 438858 446082 449307 452466 455112 456703 463239 464373 465948 472392 480168 480396 491834 493038 498636 504777 511758 512001 520429 529416 530712 540189 543348 543606 551124 560196 564246 573534 576888 581742 585144 594776 595593 597051 599076 603288 617652 619164 632358 633906 642978 648999 653562 657384 658287 669123 673036 678699 682344 682668 698922 708588 720252 720594 724808 737751 739557 747954 752328 764712 767637 775656 794124 796068 815022 815409 826686 840294 843144 845208 846369 857304 860301 865332 871416 872613 877716 892164 898614 904932 913406 926478 928746 931896 948537 950859 960792 964467 980343 983668 986076 997272 1009554 1023516 1024002 1040858 1048383 1080378 1080891 1086696 1087212 1102248 1120392 1121931 1128492 1147068 1163484 1177813 1191186 1194102 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72787734 73299492 73985886 75044718 75228426 75483576 76726104 76831497 77019579 77824152 79407783 79677108 79872156 81773874 82944162 84309498 84802536 84919023 86316867 87510618 87552171 88022376 88064172 89513788 90751752 92912508 92956626 94242204 95402853 96486066 97050312 98647848 99025173 100059624 100304568 102095721 102441996 102692772 105137838 105877044 106642494 108397926 109031832 109181601 109949238 110592216 110978829 112412664 112567077 112842639 113225364 115089156 116680824 116736228 119515662 119808234 122660811 123942168 124416243 126464247 127203804 128648088 128963016 132033564 132096258 134270682 136127628 139368762 139434939 140183784 142189992 144530568 144729099 145575468 146598984 147971772 150089436 150456852 153662994 154039158 157706757 158815566 159354216 159744312 162596889 163547748 164923857 165888324 168618996 169838046 172633734 175021236 175104342 176128344 179027576 179273493 179712351 185825016 185913252 188484408 190805706 192972132 198050346 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1848469896 1881478287 1892481084 1905786792 1951162668 1997618922 2026207386 2038056552 2071604808 2074450419 2101252104 2144010141 2151281916 2156548212 2207894598 2276356446 2289668472 2292813621 2330555409 2363908617 2377732644 2416872276 2450297304 2508637716 2509828902 2575877031 2620358424 2663491896 2701609848 2765933892 2772704844 2838721626 2858680188 2926744002 2943859464 2985989832 2996428383 3035141928 3057084828 3107407212 3151878156 3226922874 3234822318 3311841897 3346438536 3414534669 3434502708 3566598966 3625308414 3762956574 3764743353 3784962168 3902325336 3995237844 4052414772 4148900838 4258082439 4288020282 4302563832 4313096424 4390116003 4415789196 4552712892 4585627242 4661110818 4727817234 4755465288 4833744552 4840384311 4852233477 5017275432 5019657804 5151754062 5349898449 5437962621 5531867784 5545409688 5677443252 5717360376 5853488004 5992856766 6114169656 6214814424 6223351257 6303756312 6453845748 6469644636 6623683794 6829069338 6869005416 6991666227 7091725851 7133197932 7250616828 7525913148 7529486706 7727631093 7990475688 8104829544 8297801676 8516164878 8576040564 8780232006 8831578392 8989285149 9105425784 9171254484 9322221636 9455634468 9680768622 9704466954 9935525691 10039315608 10243604007 10303508124 10699796898 10875925242 11294230059 11354886504 11706976008 11985713532 12446702514 12907691496 12939289272 13170348009 13247367588 13658138676 13983332454 14183451702 14266395864 14501233656 14521152933 15051826296 15058973412 15455262186 16049695347 16313887863 16595603352 17032329756 17152081128 17560464012 17978570298 18342508968 18644443272 18911268936 19361537244 19408933908 19871051382 20487208014 20607016248 20974998681 21399593796 21751850484 22588460118 23182893279 23971427064 24893405028 26340696018 26494735176 26967855447 27316277352 27966664908 28366903404 29042305866 29806577073 30117946824 30730812021 30910524372 32099390694 32627775726 33882690177 34064659512 35120928024 35957140596 38723074488 38817867816 39742102764 40974416028 41949997362 42799187592 43503700968 43563458799 45176920236 46365786558 48941663589 49786810056 52681392036 53935710894 55933329816 56733806808 58084611732 59613154146 61461624042 61821048744 62924996043 64198781388 65255551452 67765380354 69548679837 71914281192 79484205528 80903566341 81948832056 83899994724 87126917598 90353840472 92192436063 92731573116 97883327178 101648070531 105362784072 107871421788 116169223464 119226308292 122923248084 125849992086 128397562776 130511102904 135530760708 139097359674 146824990767 161807132682 167799989448 174253835196 184384872126 185463146232 188774988129 195766654356 203296141062 208646039511 215742843576 238452616584 245846496168 251699984172 271061521416 278194719348 293649981534 304944211593 323614265364 348507670392 368769744252 377549976258 391533308712 406592282124 417292079022 440474972301 503399968344 556389438696 566324964387 587299963068 609888423186 647228530728 737539488504 755099952516 813184564248 834584158044 880949944602 1132649928774 1174599926136 1219776846372 1321424916903 1510199905032 1669168316088 1761899889204 2265299857548 2439553692744 2642849833806 3523799778408 3964274750709 4530599715096 5285699667612 7928549501418 10571399335224 15857099002836 31714198005672
- Sum of all divisors σ(n): 120420105624000
- Sum of proper divisors (its aliquot sum) s(n): 88705907618328
- 31714198005672 is an abundant number, because the sum of its proper divisors (88705907618328) is greater than itself. Its abundance is 56991709612656
Bases of 31714198005672
- Binary: 1110011011000000010011000000110100111101010002
- Hexadecimal: 0x1CD80981A7A8
- Base-36: B8PAUNMI0
Squares and roots of 31714198005672
- 31714198005672 squared (317141980056722) is 1005790355142969862144171584
- 31714198005672 cubed (317141980056723) is 31897834475199307410443887219031373224448
-
The
square root of 31714198005672 is 5631536.0254261003 -
The
cube root of 31714198005672 is 31653.2210835157
Scales and comparisons
How big is 31714198005672?- 31,714,198,005,672 seconds is equal to 1,008,413 years, 20 weeks, 4 days, 22 hours, 1 minute, 12 seconds.
-
To count from 1 to 31,714,198,005,672 would take you about two million, five hundred twenty-one thousand and thirty-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 31714198005672 cubic inches would be around 2637.8 feet tall.
Recreational maths with 31714198005672
- 31714198005672 backwards is 27650089141713
- 31714198005672 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 31714198005672's digits is 54
- More coming soon!
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"Number 31714198005672 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 31714198005672 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/31714198005672/
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The information we have on file for 31714198005672 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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