31409687469168960

Names of 31409687469168960

• Cardinal: 31409687469168960 can be written as Thirty-one quadrillion, four hundred nine trillion, six hundred eighty-seven billion, four hundred sixty-nine million, one hundred sixty-eight thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 3.140968746916896 × 10¹⁶

Factors of 31409687469168960

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 174

Divisors of 31409687469168960

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 64 70 80 84 96 98 105 112 120 140 147 157 160 168 192 196 210 224 240 245 280 294 314 320 336 343 392 420 448 471 480 490 560 588 628 672 686 735 784 785 840 942 960 980 1029 1099 1120 1176 1256 1344 1372 1470 1568 1570 1680 1715 1884 1960 2058 2198 2240 2352 2355 2512 2744 2940 3136 3140 3297 3360 3430 3768 3920 4116 4396 4704 4710 5024 5145 5488 5495 5880 6280 6594 6720 6860 7536 7693 7840 8232 8792 9408 9420 10048 10290 10976 10990 11760 12560 13188 13720 15072 15386 15680 16464 16485 17584 18840 20580 21952 21980 23079 23520 24649 25120 26376 27440 30144 30772 32928 32970 35168 37680 38465 41160 43960 46158 47040 49298 50240 52752 53851 54880 61544 65856 65940 70336 73947 75360 76930 82320 87920 92316 98596 105504 107702 109760 115395 123088 123245 131880 147894 150720 153860 161553 164640 172543 175840 184632 197192 211008 215404 230790 246176 246490 263760 269255 295788 307720 323106 329280 345086 351680 369264 369735 394384 430808 461580 492352 492980 517629 527520 538510 591576 615440 646212 690172 738528 739470 788768 807765 861616 862715 923160 985960 1035258 1055040 1077020 1183152 1207801 1230880 1292424 1380344 1477056 1478940 1577536 1615530 1723232 1725430 1846320 1971920 2070516 2154040 2366304 2415602 2461760 2584848 2588145 2760688 2957880 3231060 3446464 3450860 3623403 3692640 3869893 3943840 4141032 4308080 4732608 4831204 5169696 5176290 5521376 5915760 6039005 6462120 6901720 7246806 7385280 7739786 7887680 8282064 8454607 8616160 9662408 10339392 10352580 11042752 11609679 11831520 12078010 12924240 13803440 14493612 15479572 16564128 16909214 17232320 18117015 19324816 19349465 20705160 23219358 23663040 24156020 25363821 25848480 27089251 27606880 28987224 30959144 33128256 33818428 36234030 38649632 38698930 41410320 42273035 46438716 48312040 50727642 51696960 54178502 55213760 57974448 58048395 61918288 67636856 72468060 77299264 77397860 81267753 82820640 84546070 92877432 96624080 101455284 108357004 115948896 116096790 123836576 126819105 135273712 135446255 144936120 154795720 162535506 165641280 169092140 185754864 189624757 193248160 202910568 216714008 231897792 232193580 247673152 253638210 270547424 270892510 289872240 309591440 325071012 338184280 371509728 379249514 386496320 405821136 406338765 433428016 464387160 507276420 541094848 541785020 568874271 579744480 607573201 619182880 650142024 676368560 743019456 758499028 811642272 812677530 866856032 928774320 948123785 1014552840 1083570040 1137748542 1159488960 1215146402 1238365760 1300284048 1327373299 1352737120 1516998056 1623284544 1625355060 1733712064 1822719603 1857548640 1896247570 2029105680 2167140080 2275497084 2430292804 2600568096 2654746598 2705474240 2844371355 3033996112 3037866005 3250710120 3645439206 3715097280 3792495140 3982119897 4058211360 4253012407 4334280160 4550994168 4860585608 5201136192 5309493196 5688742710 6067992224 6075732010 6501420240 6636866495 7290878412 7584990280 7964239794 8116422720 8506024814 8668560320 9101988336 9113598015 9721171216 10618986392 11377485420 12135984448 12151464020 12759037221 13002840480 13273732990 14581756824 15169980560 15928479588 17012049628 18203976672 18227196030 19442342432 19910599485 21237972784 21265062035 22754970840 24302928040 25518074442 26005680960 26547465980 29163513648 29771086849 30339961120 31856959176 34024099256 36407953344 36454392060 38884684864 39821198970 42475945568 42530124070 45509941680 48605856080 51036148884 53094931960 58327027296 59542173698 60679922240 63713918352 63795186105 68048198512 72908784120 79642397940 84951891136 85060248140 89313260547 91019883360 95388992557 97211712160 102072297768 106189863920 116654054592 119084347396 127427836704 127590372210 136096397024 145817568240 148855434245 159284795880 170120496280 178626521094 182039766720 190777985114 194423424320 204144595536 208397607943 212379727840 238168694792 254855673408 255180744420 272192794048 286166977671 291635136480 297710868490 318569591760 340240992560 357253042188 381555970228 408289191072 416795215886 424759455680 446566302735 476337389584 476944962785 510361488840 572333955342 583270272960 595421736980 625192823829 637139183520 667722947899 680481985120 714506084376 763111940456 816578382144 833590431772 893132605470 952674779168 953889925570 1020722977680 1041988039715 1144667910684 1190843473960 1250385647658 1274278367040 1335445895798 1360963970240 1429012168752 1430834888355 1526223880912 1667180863544 1786265210940 1905349558336 1907779851140 2003168843697 2041445955360 2083976079430 2289335821368 2381686947920 2500771295316 2670891791596 2858024337504 2861669776710 3052447761824 3125964119145 3334361727088 3338614739495 3572530421880 3815559702280 4006337687394 4082891910720 4167952158860 4578671642736 4674060635293 4763373895840 5001542590632 5341783583192 5716048675008 5723339553420 6104895523648 6251928238290 6668723454176 6677229478990 7145060843760 7631119404560 8012675374788 8335904317720 9157343285472 9348121270586 9526747791680 10003085181264 10015844218485 10683567166384 11446679106840 12503856476580 13337446908352 13354458957980 14022181905879 14290121687520 15262238809120 16025350749576 16671808635440 18314686570944 18696242541172 20006170362528 20031688436970 21367134332768 22893358213680 23370303176465 25007712953160 26708917915960 28044363811758 28580243375040 30524477618240 32050701499152 32718424447051 33343617270880 37392485082344 40012340725056 40063376873940 42734268665536 45786716427360 46740606352930 50015425906320 53417835831920 56088727623516 64101402998304 65436848894102 66687234541760 70110909529395 74784970164688 80126753747880 91573432854720 93481212705860 98155273341153 100030851812640 106835671663840 112177455247032 128202805996608 130873697788204 140221819058790 149569940329376 160253507495760 163592122235255 186962425411720 196310546682306 200061703625280 213671343327680 224354910494064 261747395576408 280443638117580 299139880658752 320507014991520 327184244470510 373924850823440 392621093364612 448709820988128 490776366705765 523494791152816 560887276235160 641014029983040 654368488941020 747849701646880 785242186729224 897419641976256 981552733411530 1046989582305632 1121774552470320 1308736977882040 1495699403293760 1570484373458448 1963105466823060 2093979164611264 2243549104940640 2617473955764080 3140968746916896 3926210933646120 4487098209881280 5234947911528160 6281937493833792 7852421867292240 10469895823056320 15704843734584480 31409687469168960
• Sum of all divisors σ(n): 117043761390393600
• Sum of proper divisors (its aliquot sum) s(n): 85634073921224640
• 31409687469168960 is an abundant number, because the sum of its proper divisors (85634073921224640) is greater than itself. Its abundance is 54224386452055680

Bases of 31409687469168960

• Binary: 1101111100101101111000111000000000110110001100101000000₂
• Hexadecimal: 0x6F96F1C01B1940
• Base-36: 8L9SZ811MIO

Squares and roots of 31409687469168960

• 31409687469168960 squared (31409687469168960²) is 986568466910869587550553027481600
• 31409687469168960 cubed (31409687469168960³) is 30987807212607572232149064356821365587593691136000
• The square root of 31409687469168960 is 177227784.1343420961
• The cube root of 31409687469168960 is 315515.8674702223

Scales and comparisons

• 31,409,687,469,168,960 seconds is equal to 998,730,904 years, 50 weeks, 5 days, 16 hours, 16 minutes.
• To count from 1 to 31,409,687,469,168,960 would take you about two billion, nine hundred ninety-six million, one hundred ninety-two thousand, seven hundred fourteen 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 31409687469168960 cubic inches would be around 26293 feet tall.

Recreational maths with 31409687469168960

• 31409687469168960 backwards is 06986196478690413
• The number of decimal digits it has is: 17
• The sum of 31409687469168960's digits is 87
• More coming soon!