137974596213216

Names of 137974596213216

• Cardinal: 137974596213216 can be written as One hundred thirty-seven trillion, nine hundred seventy-four billion, five hundred ninety-six million, two hundred thirteen thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 1.37974596213216 × 10¹⁴

Factors of 137974596213216

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 104551

Divisors of 137974596213216

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 313 336 392 588 626 672 784 907 939 1176 1252 1568 1814 1878 2191 2352 2504 2721 3628 3756 4382 4704 5008 5442 6349 6573 7256 7512 8764 10016 10884 12698 13146 14512 15024 15337 17528 19047 21768 25396 26292 29024 30048 30674 35056 38094 43536 44443 46011 50792 52584 61348 70112 76188 87072 88886 92022 101584 103319 105168 122696 133329 152376 177772 184044 203168 206638 210336 245392 266658 283891 304752 309957 355544 368088 413276 490784 533316 567782 609504 619914 711088 723233 736176 826552 851673 1066632 1135564 1239828 1422176 1446466 1472352 1653104 1703346 1987237 2133264 2169699 2271128 2479656 2892932 3306208 3406692 3974474 4266528 4339398 4542256 4959312 5062631 5785864 5961711 6813384 7948948 8678796 9084512 9918624 10125262 11571728 11923422 13626768 13910659 15187893 15897896 17357592 20250524 23143456 23846844 27253536 27821318 30375786 31795792 32338847 34715184 40501048 41731977 47693688 55642636 60751572 63591584 64677694 69430368 81002096 83463954 93710333 95387376 97016541 111285272 121503144 129355388 162004192 166927908 187420666 190774752 194033082 222570544 226371929 243006288 258710776 281130999 333855816 374841332 388066164 445141088 452743858 486012576 517421552 562261998 655972331 667711632 679115787 749682664 776132328 905487716 1034843104 1124523996 1311944662 1335423264 1358231574 1499365328 1552264656 1584603503 1810975432 1967916993 2249047992 2623889324 2716463148 2998730656 3104529312 3169207006 3621950864 3935833986 4498095984 4591806317 4753810509 5247778648 5432926296 6338414012 7243901728 7871667972 8996191968 9183612634 9507621018 10495557296 10865852592 12676828024 13775418951 15743335944 18367225268 19015242036 20991114592 21731705184 25353656048 27550837902 29331334229 31486671888 36734450536 38030484072 50707312096 55101675804 58662668458 62973343776 73468901072 76060968144 87994002687 110203351608 117325336916 146937802144 152121936288 175988005374 205319339603 220406703216 234650673832 351976010748 410638679206 440813406432 469301347664 615958018809 703952021496 821277358412 938602695328 1231916037618 1407904042992 1437235377221 1642554716824 2463832075236 2815808085984 2874470754442 3285109433648 4311706131663 4927664150472 5748941508884 6570218867296 8623412263326 9855328300944 11497883017768 17246824526652 19710656601888 22995766035536 34493649053304 45991532071072 68987298106608 137974596213216
• Sum of all divisors σ(n): 423131434709760
• Sum of proper divisors (its aliquot sum) s(n): 285156838496544
• 137974596213216 is an abundant number, because the sum of its proper divisors (285156838496544) is greater than itself. Its abundance is 147182242283328

Bases of 137974596213216

• Binary: 11111010111110010110110110010111001100111100000₂
• Hexadecimal: 0x7D7CB6CB99E0
• Base-36: 1CWONK6Q5C

Squares and roots of 137974596213216

• 137974596213216 squared (137974596213216²) is 19036989200199998966933062656
• 137974596213216 cubed (137974596213216³) is 2626620898012948665972849658737886863261696
• The square root of 137974596213216 is 11746258.8177349471
• The cube root of 137974596213216 is 51673.3213662437

Scales and comparisons

• 137,974,596,213,216 seconds is equal to 4,387,165 years, 19 weeks, 3 days, 21 hours, 53 minutes, 36 seconds.
• To count from 1 to 137,974,596,213,216 would take you about ten million, nine hundred sixty-seven thousand, nine hundred thirteen 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 137974596213216 cubic inches would be around 4306.1 feet tall.

Recreational maths with 137974596213216

• 137974596213216 backwards is 612312695479731
• The number of decimal digits it has is: 15
• The sum of 137974596213216's digits is 66
• More coming soon!