31970450495913216

Names of 31970450495913216

• Cardinal: 31970450495913216 can be written as Thirty-one quadrillion, nine hundred seventy trillion, four hundred fifty billion, four hundred ninety-five million, nine hundred thirteen thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 3.1970450495913216 × 10¹⁶

Factors of 31970450495913216

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 1380

Divisors of 31970450495913216

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 49 56 64 82 84 96 98 112 123 128 147 164 168 192 196 224 246 256 287 294 328 336 343 384 392 448 492 574 588 656 672 686 768 784 861 896 984 1029 1148 1176 1312 1327 1344 1372 1568 1681 1722 1792 1968 2009 2058 2296 2352 2624 2654 2688 2744 3136 3362 3444 3936 3981 4018 4116 4592 4704 5043 5248 5308 5376 5488 6027 6272 6724 6888 7872 7962 8036 8232 9184 9289 9408 10086 10496 10616 10976 11767 12054 12544 13448 13776 14063 15744 15924 16072 16464 18368 18578 18816 20172 21232 21952 23534 24108 26896 27552 27867 28126 31488 31848 32144 32928 35301 36736 37156 37632 40344 42189 42464 43904 47068 48216 53792 54407 55104 55734 56252 63696 64288 65023 65856 68921 70602 73472 74312 80688 82369 84378 84928 87808 94136 96432 107584 108814 110208 111468 112504 127392 128576 130046 131712 137842 141204 148624 161376 163221 164738 168756 169856 188272 192864 195069 206763 215168 217628 220416 222936 225008 247107 254784 257152 260092 263424 275684 282408 297248 322752 326442 329476 337512 339712 376544 380849 385728 390138 413526 430336 435256 445872 450016 455161 482447 494214 509568 514304 520184 551368 564816 576583 594496 645504 652884 658952 675024 753088 761698 771456 780276 827052 870512 891744 900032 910322 964894 988428 1019136 1040368 1102736 1129632 1142547 1153166 1188992 1291008 1305768 1317904 1350048 1365483 1447341 1506176 1523396 1542912 1560552 1654104 1729749 1741024 1760929 1783488 1800064 1820644 1929788 1976856 2080736 2205472 2230687 2259264 2285094 2306332 2377984 2611536 2635808 2665943 2700096 2730966 2894682 3012352 3046792 3121104 3308208 3377129 3459498 3482048 3521858 3566976 3600128 3641288 3859576 3953712 4161472 4410944 4461374 4518528 4570188 4612664 5223072 5271616 5282787 5331886 5400192 5461932 5789364 6093584 6242208 6616416 6692061 6754258 6918996 6964096 7043716 7133952 7282576 7719152 7907424 7997829 8322944 8821888 8922748 9037056 9140376 9225328 10131387 10446144 10543232 10565574 10663772 10800384 10923864 11578728 12187168 12326503 12484416 13232832 13384122 13508516 13837992 13928192 14087432 14565152 15438304 15614809 15814848 15995658 16645888 17643776 17845496 18280752 18450656 18661601 20262774 20892288 21086464 21131148 21327544 21847728 23157456 23639903 24374336 24653006 24968832 26465664 26768244 27017032 27675984 28174864 29130304 30876608 31229618 31629696 31991316 35690992 36561504 36901312 36979509 37323202 40525548 41784576 42262296 42655088 43695456 46314912 46844427 47279806 48748672 49306012 49937664 52931328 53536488 54034064 55351968 55984803 56349728 58260608 61753216 62459236 63259392 63982632 70919709 71381984 72198089 73123008 73802624 73959018 74646404 81051096 84524592 85310176 86285521 87390912 91458167 92629824 93688854 94559612 97497344 98612024 107072976 108068128 109303663 110703936 111969606 112699456 116521216 123506432 124918472 127965264 141839418 142763968 144396178 146246016 147605248 147918036 149292808 162102192 169049184 170620352 172571042 174781824 182916334 185259648 187377708 189119224 197224048 214145952 216136256 216594267 218607326 221407872 223939212 225398912 249836944 255930528 258856563 274374501 283678836 285527936 288792356 292492032 295836072 298585616 324204384 327910989 338098368 341240704 345142084 349563648 365832668 370519296 374755416 378238448 394448096 428291904 432272512 433188534 437214652 442815744 447878424 450797824 499673888 505386623 511861056 517713126 548749002 567357672 571055872 577584712 591672144 597171232 603998647 640207169 648408768 655821978 676196736 682481408 690284168 731665336 749510832 756476896 765125641 788896192 856583808 864545024 866377068 874429304 895756848 999347776 1010773246 1023722112 1035426252 1097498004 1134715344 1155169424 1183344288 1194342464 1207997294 1280414338 1296817536 1311643956 1352393472 1380568336 1463330672 1499021664 1512953792 1516159869 1530251282 1577792384 1713167616 1732754136 1748858608 1791513696 1811995941 1920621507 1998695552 2021546492 2047444224 2070852504 2194996008 2269430688 2295376923 2310338848 2366688576 2388684928 2415994588 2560828676 2593635072 2623287912 2761136672 2926661344 2960121649 2998043328 3025907584 3032319738 3060502564 3155584768 3465508272 3497717216 3537706361 3583027392 3623991882 3841243014 3997391104 4043092984 4141705008 4389992016 4481450183 4538861376 4590753846 4620677696 4733377152 4777369856 4831989176 5121657352 5246575824 5522273344 5853322688 5920243298 5996086656 6051815168 6064639476 6121005128 6931016544 6995434432 7075412722 7166054784 7247983764 7682486028 8086185968 8283410016 8779984032 8880364947 8962900366 9077722752 9181507692 9241355392 9466754304 9663978352 10243314704 10493151648 10613119083 11044546688 11706645376 11840486596 11992173312 12129278952 12242010256 13444350549 13862033088 13990868864 14150825444 14332109568 14495967528 15364972056 16172371936 16566820032 17559968064 17760729894 17925800732 18155445504 18363015384 18482710784 19327956704 20486629408 20720851543 20986303296 21226238166 22089093376 23413290752 23680973192 24258557904 24484020512 24763944527 26888701098 27724066176 27981737728 28301650888 28991935056 30729944112 31370151281 32344743872 33133640064 35119936128 35521459788 35851601464 36726030768 38655913408 40973258816 41441703086 41972606592 42452476332 47361946384 48517115808 48968041024 49527889054 53777402196 55448132352 56603301776 57983870112 61459888224 62162554629 62740302562 64689487744 66267280128 70239872256 71042919576 71703202928 73452061536 74291833581 77311826816 81946517632 82883406172 83945213184 84904952664 94110453843 94723892768 97034231616 97936082048 99055778108 107554804392 113206603552 115967740224 121364987609 122919776448 124325109258 125480605124 129378975488 142085839152 143406405856 145045960801 146904123072 148583667162 154623653632 163893035264 165766812344 169809905328 188220907686 189447785536 194068463232 195872164096 198111556216 215109608784 226413207104 231935480448 242729975218 245839552896 248650218516 250961210248 284171678304 286812811712 290091921602 293808246144 297167334324 331533624688 339619810656 364094962827 376441815372 378895571072 388136926464 396223112432 430219217568 435137882403 452826414208 463870960896 485459950436 491679105792 497300437032 501922420496 568343356608 573625623424 580183843204 587616492288 594334668648 663067249376 679239621312 728189925654 752883630744 757791142144 792446224864 849554913263 860438435136 870275764806 905652828416 970919900872 994600874064 1003844840992 1015321725607 1136686713216 1147251246848 1160367686408 1188669337296 1326134498752 1358479242624 1456379851308 1505767261488 1584892449728 1699109826526 1720876870272 1740551529612 1941839801744 1989201748128 2007689681984 2030643451214 2273373426432 2320735372816 2377338674592 2548664739789 2652268997504 2716958485248 2912759702616 3011534522976 3045965176821 3169784899456 3398219653052 3441753740544 3481103059224 3883679603488 3978403496256 4015379363968 4061286902428 4641470745632 4754677349184 5097329479578 5304537995008 5825519405232 5946884392841 6023069045952 6091930353642 6339569798912 6796439306104 6962206118448 7767359206976 7956806992512 8030758727936 8122573804856 9282941491264 9509354698368 10194658959156 11651038810464 11893768785682 12046138091904 12183860707284 13592878612208 13924412236896 15534718413952 15913613985024 16245147609712 17840653178523 18565882982528 19018709396736 20389317918312 23302077620928 23787537571364 24092276183808 24367721414568 27185757224416 27848824473792 31069436827904 32490295219424 35681306357046 37131765965056 40778635836624 41628190749887 46604155241856 47575075142728 48735442829136 54371514448832 55697648947584 64980590438848 71362612714092 81557271673248 83256381499774 93208310483712 95150150285456 97470885658272 108743028897664 111395297895168 124884572249661 129961180877696 142725225428184 163114543346496 166512762999548 190300300570912 194941771316544 217486057795328 249769144499322 259922361755392 285450450856368 326229086692992 333025525999096 380600601141824 389883542633088 499538288998644 570900901712736 652458173385984 666051051998192 761201202283648 779767085266176 999076577997288 1141801803425472 1332102103996384 1522402404567296 1998153155994576 2283603606850944 2664204207992768 3996306311989152 4567207213701888 5328408415985536 7992612623978304 10656816831971072 15985225247956608 31970450495913216
• Sum of all divisors σ(n): 101785381556140800
• Sum of proper divisors (its aliquot sum) s(n): 69814931060227584
• 31970450495913216 is an abundant number, because the sum of its proper divisors (69814931060227584) is greater than itself. Its abundance is 37844480564314368

Bases of 31970450495913216

• Binary: 1110001100101001111010010010001000111100011110100000000₂
• Hexadecimal: 0x7194F4911E3D00
• Base-36: 8QSKU78P2IO

Squares and roots of 31970450495913216

• 31970450495913216 squared (31970450495913216²) is 1022109704911637598864317803462656
• 31970450495913216 cubed (31970450495913216³) is 32677307722269975140152926599034460076421672861696
• The square root of 31970450495913216 is 178802825.7492403725
• The cube root of 31970450495913216 is 317382.4575611895

Scales and comparisons

• 31,970,450,495,913,216 seconds is equal to 1,016,561,434 years, 35 weeks, 5 hours, 13 minutes, 36 seconds.
• To count from 1 to 31,970,450,495,913,216 would take you about three billion, forty-nine million, six hundred eighty-four thousand, three hundred four 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 31970450495913216 cubic inches would be around 26448.5 feet tall.

Recreational maths with 31970450495913216

• 31970450495913216 backwards is 61231959405407913
• The number of decimal digits it has is: 17
• The sum of 31970450495913216's digits is 69
• More coming soon!