31897253228576768

Names of 31897253228576768

• Cardinal: 31897253228576768 can be written as Thirty-one quadrillion, eight hundred ninety-seven trillion, two hundred fifty-three billion, two hundred twenty-eight million, five hundred seventy-six thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 3.1897253228576768 × 10¹⁶

Factors of 31897253228576768

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 37
• Sum of prime factors: 90

Divisors of 31897253228576768

• Number of divisors d(n): 306
• Complete list of divisors:
  1 2 4 8 16 32 41 47 64 82 94 128 164 188 256 328 376 512 656 752 1024 1312 1504 1681 1927 2048 2209 2624 3008 3362 3854 4096 4418 5248 6016 6724 7708 8192 8836 10496 12032 13448 15416 16384 17672 20992 24064 26896 30832 32768 35344 41984 48128 53792 61664 65536 70688 79007 83968 90569 96256 107584 123328 131072 141376 158014 167936 181138 192512 215168 246656 262144 282752 316028 335872 362276 385024 430336 493312 524288 565504 632056 671744 724552 770048 860672 986624 1048576 1131008 1264112 1343488 1449104 1540096 1721344 1973248 2097152 2262016 2528224 2686976 2898208 3080192 3442688 3713329 3946496 4194304 4524032 5056448 5373952 5796416 6160384 6885376 7426658 7892992 8388608 9048064 10112896 10747904 11592832 12320768 13770752 14853316 15785984 16777216 18096128 20225792 21495808 23185664 24641536 27541504 29706632 31571968 33554432 36192256 40451584 42991616 46371328 49283072 55083008 59413264 63143936 67108864 72384512 80903168 85983232 92742656 98566144 110166016 118826528 126287872 134217728 144769024 161806336 171966464 185485312 197132288 220332032 237653056 252575744 268435456 289538048 323612672 343932928 370970624 394264576 440664064 475306112 505151488 536870912 579076096 647225344 687865856 741941248 788529152 881328128 950612224 1010302976 1073741824 1158152192 1294450688 1375731712 1483882496 1577058304 1762656256 1901224448 2020605952 2147483648 2316304384 2588901376 2751463424 2967764992 3154116608 3525312512 3802448896 4041211904 4294967296 4632608768 5177802752 5502926848 5935529984 6308233216 7050625024 7604897792 8082423808 8589934592 9265217536 10355605504 11005853696 11871059968 12616466432 14101250048 15209795584 16164847616 18530435072 20711211008 22011707392 23742119936 25232932864 28202500096 30419591168 32329695232 37060870144 41422422016 44023414784 47484239872 50465865728 56405000192 60839182336 64659390464 74121740288 82844844032 88046829568 94968479744 100931731456 112810000384 121678364672 129318780928 148243480576 165689688064 176093659136 189936959488 201863462912 225620000768 243356729344 258637561856 296486961152 331379376128 352187318272 379873918976 403726925824 451240001536 486713458688 517275123712 592973922304 662758752256 759747837952 902480003072 973426917376 1034550247424 1185947844608 1325517504512 1519495675904 1804960006144 1946853834752 2069100494848 2371895689216 2651035009024 3038991351808 3609920012288 3893707669504 4138200989696 4743791378432 5302070018048 6077982703616 7219840024576 7787415339008 8276401979392 9487582756864 10604140036096 12155965407232 14439680049152 15574830678016 16552803958784 18975165513728 21208280072192 24311930814464 31149661356032 42416560144384 48623861628928 62299322712064 84833120288768 97247723257856 124598645424128 169666240577536 194495446515712 249197290848256 339332481155072 388990893031424 498394581696512 678664962310144 777981786062848 996789163393024 1993578326786048 3987156653572096 7974313307144192 15948626614288384 31897253228576768
• Sum of all divisors σ(n): 66809264257411413
• Sum of proper divisors (its aliquot sum) s(n): 34912011028834645
• 31897253228576768 is an abundant number, because the sum of its proper divisors (34912011028834645) is greater than itself. Its abundance is 3014757800257877

Bases of 31897253228576768

• Binary: 1110001010100100110001000000000000000000000000000000000₂
• Hexadecimal: 0x71526200000000
• Base-36: 8Q2MRU9MDQ8

Squares and roots of 31897253228576768

• 31897253228576768 squared (31897253228576768²) is 1017434763527951049883946869325824
• 31897253228576768 cubed (31897253228576768³) is 32453374295808177107827202574123098035687188856832
• The square root of 31897253228576768 is 178598021.3456374437
• The cube root of 31897253228576768 is 317140.0537104387

Scales and comparisons

• 31,897,253,228,576,768 seconds is equal to 1,014,233,987 years, 51 weeks, 2 days, 1 hour, 6 minutes, 8 seconds.
• To count from 1 to 31,897,253,228,576,768 would take you about three billion, forty-two million, seven hundred one thousand, nine hundred sixty-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 31897253228576768 cubic inches would be around 26428.3 feet tall.

Recreational maths with 31897253228576768

• 31897253228576768 backwards is 86767582235279813
• The number of decimal digits it has is: 17
• The sum of 31897253228576768's digits is 89
• More coming soon!