138757301758400

Names of 138757301758400

• Cardinal: 138757301758400 can be written as One hundred thirty-eight trillion, seven hundred fifty-seven billion, three hundred one million, seven hundred fifty-eight thousand, four hundred.

Scientific notation

• Scientific notation: 1.387573017584 × 10¹⁴

Factors of 138757301758400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 125337

Divisors of 138757301758400

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 127 130 160 200 208 254 260 320 325 400 416 421 508 520 635 650 800 832 842 1016 1040 1270 1300 1600 1651 1684 2032 2080 2105 2540 2600 3175 3302 3368 4064 4160 4210 5080 5200 5473 6350 6604 6736 8128 8255 8420 10160 10400 10525 10946 12700 13208 13472 16510 16840 20320 20800 21050 21892 25400 26416 26944 27365 33020 33680 40640 41275 42100 43784 50800 52832 53467 54730 66040 67360 82550 84200 87568 101600 105664 106934 109460 124769 132080 134720 136825 165100 168400 175136 203200 213868 218920 249538 264160 267335 273650 330200 336800 350272 427736 437840 499076 528320 534670 547300 623845 660400 673600 695071 855472 875680 998152 1069340 1094600 1247690 1320800 1336675 1390142 1621997 1710944 1751360 1996304 2138680 2189200 2495380 2641600 2673350 2780284 3119225 3243994 3421888 3475355 3992608 4277360 4378400 4990760 5346700 5560568 6238450 6487988 6950710 7985216 8109985 8554720 8756800 9981520 10693400 11121136 12476900 12975976 13901420 15845663 16219970 17109440 17376775 19963040 21386800 22242272 24953800 25951952 27802840 31691326 32439940 34753550 39926080 40549925 42773600 44484544 49907600 51903904 52527749 55605680 63382652 64879880 69507100 79228315 81099850 85547200 99815200 103807808 105055498 111211360 126765304 129759760 139014200 158456630 162199700 199630400 205993619 210110996 222422720 253530608 259519520 262638745 278028400 316913260 324399400 396141575 411987238 420221992 507061216 519039040 525277490 556056800 633826520 648798800 682860737 792283150 823974476 840443984 1014122432 1029968095 1050554980 1112113600 1267653040 1297597600 1313193725 1365721474 1584566300 1647948952 1680887968 2059936190 2101109960 2535306080 2595195200 2626387450 2731442948 3169132600 3295897904 3361775936 3414303685 4119872380 4202219920 5070612160 5149840475 5252774900 5462885896 6338265200 6591795808 6671024123 6828607370 8239744760 8404439840 10299680950 10505549800 10925771792 12676530400 13183591616 13342048246 13657214740 16479489520 16808879680 17071518425 20599361900 21011099600 21851543584 25353060800 26684096492 27314429480 32958979040 33355120615 34143036850 41198723800 42022199200 43703087168 53368192984 54628858960 65917958080 66710241230 68286073700 82397447600 84044398400 86723313599 106736385968 109257717920 133420482460 136572147400 164794895200 166775603075 173446627198 213472771936 218515435840 266840964920 273144294800 329589790400 333551206150 346893254396 426945543872 433616567995 533681929840 546288589600 667102412300 693786508792 867233135990 1067363859680 1092577179200 1334204824600 1387573017584 1734466271980 2134727719360 2168082839975 2668409649200 2775146035168 3468932543960 4336165679950 5336819298400 5550292070336 6937865087920 8672331359900 10673638596800 13875730175840 17344662719800 27751460351680 34689325439600 69378650879200 138757301758400
• Sum of all divisors σ(n): 371471967605760
• Sum of proper divisors (its aliquot sum) s(n): 232714665847360
• 138757301758400 is an abundant number, because the sum of its proper divisors (232714665847360) is greater than itself. Its abundance is 93957364088960

Bases of 138757301758400

• Binary: 11111100011001011110011101011100110100111000000₂
• Hexadecimal: 0x7E32F3AE69C0
• Base-36: 1D6O82UY0W

Squares and roots of 138757301758400

• 138757301758400 squared (138757301758400²) is 19253588791271675731970560000
• 138757301758400 cubed (138757301758400³) is 2671576029842631821615873192185032704000000
• The square root of 138757301758400 is 11779528.9276948593
• The cube root of 138757301758400 is 51770.8483924575

Scales and comparisons

• 138,757,301,758,400 seconds is equal to 4,412,052 years, 51 weeks, 3 days, 20 hours, 53 minutes, 20 seconds.
• To count from 1 to 138,757,301,758,400 would take you about eleven million, thirty thousand, one hundred thirty-two 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 138757301758400 cubic inches would be around 4314.2 feet tall.

Recreational maths with 138757301758400

• 138757301758400 backwards is 004857103757831
• The number of decimal digits it has is: 15
• The sum of 138757301758400's digits is 59
• More coming soon!