31973021856899136
31,973,021,856,899,136 is an even composite number composed of six prime numbers multiplied together.
What does the number 31973021856899136 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1680 divisors.
31973021856899136 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 31973021856899136:
26 × 33 × 13 × 31 × 474 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 31 × 47 × 47 × 47 × 47 × 97 × 97)See below for interesting mathematical facts about the number 31973021856899136 from the Numbermatics database.
Names of 31973021856899136
- Cardinal: 31973021856899136 can be written as Thirty-one quadrillion, nine hundred seventy-three trillion, twenty-one billion, eight hundred fifty-six million, eight hundred ninety-nine thousand, one hundred thirty-six.
Scientific notation
- Scientific notation: 3.1973021856899136 × 1016
Factors of 31973021856899136
Divisors of 31973021856899136
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 32 36 39 47 48 52 54 62 64 72 78 93 94 96 97 104 108 117 124 141 144 156 186 188 192 194 208 216 234 248 279 282 288 291 312 351 372 376 388 403 416 423 432 468 496 558 564 576 582 611 624 702 744 752 776 806 832 837 846 864 873 936 992 1116 1128 1164 1209 1222 1248 1261 1269 1404 1457 1488 1504 1552 1612 1674 1692 1728 1746 1833 1872 1984 2209 2232 2256 2328 2418 2444 2496 2522 2538 2619 2808 2914 2976 3007 3008 3104 3224 3348 3384 3492 3627 3666 3744 3783 4371 4418 4464 4512 4559 4656 4836 4888 5044 5076 5238 5499 5616 5828 5952 6014 6208 6448 6627 6696 6768 6984 7254 7332 7488 7566 8742 8836 8928 9021 9024 9118 9312 9409 9672 9776 10088 10152 10476 10881 10998 11232 11349 11656 12028 12896 13113 13254 13392 13536 13677 13968 14508 14664 15132 16497 17484 17672 17856 18042 18236 18624 18818 18941 19344 19552 19881 20176 20304 20952 21762 21996 22464 22698 23312 24056 25792 26226 26508 26784 27063 27072 27354 27936 28227 28717 29016 29328 30264 32994 34047 34968 35344 36084 36472 37636 37882 38688 39091 39104 39339 39762 40352 40608 41031 41904 43524 43992 45396 46624 48112 52452 53016 53568 54126 54708 55872 56454 56823 57434 58032 58656 59267 59643 60528 65988 68094 68479 69936 70688 72168 72944 75272 75764 77376 78182 78678 79524 80704 81189 81216 82062 83808 84681 86151 87048 87984 90792 93248 96224 103823 104904 106032 108252 109416 112908 113646 114868 116064 117273 117312 118534 119286 121056 122317 123093 131976 136188 136958 139872 141329 141376 144336 145888 150544 151528 156364 157356 159048 162378 164124 167616 169362 170469 172302 174096 175968 177801 181584 192448 205437 207646 209808 212064 214273 216504 218832 225816 227292 229736 232128 234546 237068 238572 242112 244634 246186 254043 258453 263952 272376 273916 279744 282658 288672 291679 291776 301088 303056 311469 312728 314712 318096 324756 328248 338724 340938 344604 348192 351819 351936 355602 363168 366951 410874 415292 419616 423987 424128 428546 433008 437664 442223 451632 454584 459472 469092 474136 477144 489268 492372 508086 511407 516906 527904 533403 544752 547832 565316 577344 583358 602176 606112 616311 622938 625456 629424 636192 642819 649512 656496 677448 681876 689208 696384 703638 711204 726336 733902 775359 821748 830584 839232 847974 857092 866016 875037 875328 884446 890227 903264 909168 918944 934407 938184 948272 954288 978536 984744 1016172 1022814 1033812 1055457 1055808 1066806 1089504 1095664 1100853 1130632 1166716 1212224 1232622 1245876 1250912 1258848 1271961 1272384 1285638 1299024 1312992 1326669 1349699 1354896 1363752 1378416 1407276 1422408 1467804 1550718 1600209 1643496 1661168 1695948 1714184 1732032 1750074 1768892 1780454 1806528 1818336 1837277 1837888 1848933 1868814 1876368 1896544 1908576 1928457 1957072 1969488 2032344 2045628 2067624 2110914 2133612 2179008 2191328 2201706 2261264 2333432 2465244 2491752 2501824 2517696 2543922 2571276 2598048 2625111 2625984 2653338 2670681 2699398 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183651674116 185563846368 187559156544 188785098528 190751609971 194810154864 196904887712 201027500232 203189086256 204478152624 211004051112 212383235844 219161424222 221517998676 226155937761 226231147584 228587722038 233451290592 234771212272 242263910536 259746873152 261394751808 264117613806 268036666976 269737137504 272546899353 272637536832 275477511174 278345769552 281338734816 283177647792 292215232296 295357331568 301541250348 304783629384 307957021632 332276998014 342881583057 352156818408 363395865804 367303348232 371127692736 377570197056 381503219942 389620309728 393678854621 393809775424 396176420709 402055000464 406378172512 408956305248 413216266761 422008102224 424766471688 438322848444 443035997352 452311875522 457175444076 466902581184 469542424544 484527821072 528235227612 536073333952 539474275008 545093798706 550955022348 556691539104 562677469632 566355295584 572254829913 584430464592 590714663136 596867940877 603082500696 609567258768 664553996028 685763166114 704313636816 726791731608 734606696464 763006439884 779240619456 787357709242 792352841418 804110000928 812756345024 817640698059 817912610496 826432533522 844016204448 849532943376 876645696888 886071994704 904623751044 914350888152 939084849088 969055642144 1056470455224 1090187597412 1101910044696 1113383078208 1132710591168 1144509659826 1168860929184 1181036563863 1181429326272 1193735881754 1206165001392 1219134517536 1239648800283 1329107992056 1371526332228 1408627273632 1423300474399 1453583463216 1469213392928 1526012879768 1574715418484 1584705682836 1608220001856 1635281396118 1652865067044 1688032408896 1699065886752 1716764489739 1753291393776 1772143989408 1790603822631 1809247502088 1828701776304 1938111284288 2112940910448 2180375194824 2203820089392 2289019319652 2337721858368 2362073127726 2387471763508 2412330002784 2438269035072 2479297600566 2658215984112 2743052664456 2817254547264 2846600948798 2907166926432 2938426785856 3052025759536 3149430836968 3169411365672 3270562792236 3305730134088 3398131773504 3433528979478 3506582787552 3543109691589 3544287978816 3581207645262 3618495004176 3657403552608 4225881820896 4269901423197 4360750389648 4407640178784 4578038639304 4724146255452 4774943527016 4824660005568 4958595201132 5150293469217 5316431968224 5371811467893 5486105328912 5693201897596 5814333852864 6104051519072 6298861673936 6338822731344 6541125584472 6611460268176 6867057958956 7013165575104 7086219383178 7162415290524 7236990008352 7314807105216 8451763641792 8539802846394 8721500779296 8815280357568 9156077278608 9448292510904 9549887054032 9917190402264 10300586938434 10629329074767 10632863936448 10743622935786 10972210657824 11386403795192 12208103038144 12597723347872 12677645462688 12809704269591 13082251168944 13222920536352 13734115917912 14172438766356 14324830581048 14473980016704 16115434403679 17079605692788 17443001558592 18312154557216 18502906167187 18896585021808 19099774108064 19834380804528 20601173876868 21258658149534 21487245871572 21944421315648 22772807590384 25195446695744 25355290925376 25619408539182 26164502337888 26445841072704 27468231835824 28344877532712 28649661162096 32230868807358 34159211385576 36624309114432 37005812334374 37793170043616 38199548216128 38429112808773 39668761609056 41202347753736 42517316299068 42974491743144 45545615180768 51238817078364 52329004675776 54936463671648 55508718501561 56689755065424 57299322324192 64461737614716 68318422771152 74011624668748 75586340087232 76858225617546 79337523218112 82404695507472 85034632598136 85948983486288 91091230361536 102477634156728 109872927343296 111017437003122 113379510130848 114598644648384 128923475229432 136636845542304 148023249337496 153716451235092 164809391014944 166526155504683 170069265196272 171897966972576 204955268313456 222034874006244 226759020261696 257846950458864 273273691084608 296046498674992 307432902470184 329618782029888 333052311009366 340138530392544 343795933945152 409910536626912 444069748012488 499578466514049 515693900917728 592092997349984 614865804940368 666104622018732 680277060785088 819821073253824 888139496024976 999156933028098 1031387801835456 1184185994699968 1229731609880736 1332209244037464 1776278992049952 1998313866056196 2459463219761472 2664418488074928 3552557984099904 3996627732112392 5328836976149856 7993255464224784 10657673952299712 15986510928449568 31973021856899136
- Sum of all divisors σ(n): 107873973545479680
- Sum of proper divisors (its aliquot sum) s(n): 75900951688580544
- 31973021856899136 is an abundant number, because the sum of its proper divisors (75900951688580544) is greater than itself. Its abundance is 43927929831681408
Bases of 31973021856899136
- Binary: 11100011001011101001011010000100010110100100000010000002
- Hexadecimal: 0x71974B422D2040
- Base-36: 8QTHNGUMXC0
Squares and roots of 31973021856899136
- 31973021856899136 squared (319730218568991362) is 1022274126661749874695841277546496
- 31973021856899136 cubed (319730218568991363) is 32685192995498604532005533654635598607144622227456
-
The
square root of 31973021856899136 is 178810016.0978101809 -
The
cube root of 31973021856899136 is 317390.9662828135
Scales and comparisons
How big is 31973021856899136?- 31,973,021,856,899,136 seconds is equal to 1,016,643,195 years, 51 weeks, 6 days, 17 hours, 45 minutes, 36 seconds.
-
To count from 1 to 31,973,021,856,899,136 would take you about three billion, forty-nine million, nine hundred twenty-nine thousand, five hundred eighty-seven 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 31973021856899136 cubic inches would be around 26449.2 feet tall.
Recreational maths with 31973021856899136
- 31973021856899136 backwards is 63199865812037913
- The number of decimal digits it has is: 17
- The sum of 31973021856899136's digits is 81
- More coming soon!
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"Number 31973021856899136 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 31973021856899136 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/31973021856899136/
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The information we have on file for 31973021856899136 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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