31142731438070016

Names of 31142731438070016

• Cardinal: 31142731438070016 can be written as Thirty-one quadrillion, one hundred forty-two trillion, seven hundred thirty-one billion, four hundred thirty-eight million, seventy thousand and sixteen.

Scientific notation

• Scientific notation: 3.1142731438070016 × 10¹⁶

Factors of 31142731438070016

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 248679

Divisors of 31142731438070016

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 223 256 384 446 669 768 809 892 911 1338 1618 1784 1822 2427 2676 2733 3236 3568 3644 4854 5352 5466 6472 7136 7288 9708 10704 10932 12944 14272 14576 19416 21408 21864 25888 28544 29152 38832 42816 43728 51776 57088 58304 77664 85632 87456 103552 116608 155328 171264 174912 180407 203153 207104 233216 246731 310656 349824 360814 406306 493462 541221 609459 621312 699648 721628 736999 740193 812612 986924 1082442 1218918 1443256 1473998 1480386 1625224 1973848 2164884 2210997 2437836 2886512 2947996 2960772 3250448 3947696 4329768 4421994 4875672 5773024 5895992 5921544 6500896 7895392 8659536 8843988 9751344 11546048 11791984 11843088 13001792 15790784 17319072 17687976 19502688 23092096 23583968 23686176 26003584 31581568 34638144 35375952 39005376 46184192 47167936 47372352 52007168 55021013 63163136 69276288 70751904 78010752 94335872 94744704 110042026 138552576 141503808 156021504 164350777 165063039 188671744 189489408 199605379 220084052 224771941 283007616 328701554 330126078 399210758 440168104 449543882 493052331 566015232 598816137 657403108 660252156 674315823 798421516 880336208 899087764 986104662 1197632274 1314806216 1320504312 1348631646 1596843032 1760672416 1798175528 1972209324 2395264548 2629612432 2641008624 2697263292 3193686064 3521344832 3596351056 3944418648 4790529096 5259224864 5282017248 5394526584 6387372128 7042689664 7192702112 7888837296 9581058192 10518449728 10564034496 10789053168 12774744256 14085379328 14385404224 15777674592 19162116384 21036899456 21128068992 21578106336 25549488512 28770808448 31555349184 38324232768 42073798912 42256137984 43156212672 44511999517 50124142843 51098977024 57541616896 63110698368 76648465536 86312425344 89023999034 100248285686 126221396736 133535998551 150372428529 153296931072 172624850688 178047998068 181840500269 200496571372 267071997102 300744857058 356095996136 363681000538 400993142744 534143994204 545521500807 601489714116 712191992272 727362001076 801986285488 1068287988408 1091043001614 1202979428232 1424383984544 1454724002152 1603972570976 2136575976816 2182086003228 2405958856464 2848767969088 2909448004304 3207945141952 4273151953632 4364172006456 4811917712928 5697535938176 5818896008608 6415890283904 8546303907264 8728344012912 9623835425856 11395071876352 11637792017216 12831780567808 17092607814528 17456688025824 19247670851712 23275584034432 34185215629056 34913376051648 38495341703424 40550431559987 46551168068864 69826752103296 81100863119974 121651294679961 139653504206592 162201726239948 243302589359922 324403452479896 486605178719844 648806904959792 973210357439688 1297613809919584 1946420714879376 2595227619839168 3892841429758752 5190455239678336 7785682859517504 10380910479356672 15571365719035008 31142731438070016
• Sum of all divisors σ(n): 83451518988042240
• Sum of proper divisors (its aliquot sum) s(n): 52308787549972224
• 31142731438070016 is an abundant number, because the sum of its proper divisors (52308787549972224) is greater than itself. Its abundance is 21166056111902208

Bases of 31142731438070016

• Binary: 1101110101001000010011000110100101100111001100100000000₂
• Hexadecimal: 0x6EA42634B39900
• Base-36: 8IN6DBCQ96O

Squares and roots of 31142731438070016

• 31142731438070016 squared (31142731438070016²) is 969869721423754526812730918240256
• 31142731438070016 cubed (31142731438070016³) is 30204392264215768620580854703064748336339637764096
• The square root of 31142731438070016 is 176473033.1752418655
• The cube root of 31142731438070016 is 314619.4495323711

Scales and comparisons

• 31,142,731,438,070,016 seconds is equal to 990,242,528 years, 48 weeks, 5 days, 5 hours, 13 minutes, 36 seconds.
• To count from 1 to 31,142,731,438,070,016 would take you about two billion, nine hundred seventy million, seven hundred twenty-seven thousand, five hundred eighty-six 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 31142731438070016 cubic inches would be around 26218.3 feet tall.

Recreational maths with 31142731438070016

• 31142731438070016 backwards is 61007083413724113
• The number of decimal digits it has is: 17
• The sum of 31142731438070016's digits is 51
• More coming soon!