138156340801536

Names of 138156340801536

• Cardinal: 138156340801536 can be written as One hundred thirty-eight trillion, one hundred fifty-six billion, three hundred forty million, eight hundred one thousand, five hundred thirty-six.

Scientific notation

• Scientific notation: 1.38156340801536 × 10¹⁴

Factors of 138156340801536

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 364

Divisors of 138156340801536

• Number of divisors d(n): 364
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 359 384 432 486 512 576 648 718 729 768 864 972 1024 1077 1152 1296 1436 1458 1536 1728 1944 2048 2154 2304 2592 2872 2916 3072 3231 3456 3888 4096 4308 4608 5184 5744 5832 6144 6462 6912 7776 8616 9216 9693 10368 11488 11664 12288 12924 13824 15552 17232 18432 19386 20736 22976 23328 25848 27648 29079 31104 34464 36864 38772 41472 45952 46656 51696 55296 58158 62208 68928 77544 82944 87237 91904 93312 103392 110592 116316 124416 128881 137856 155088 165888 174474 183808 186624 206784 232632 248832 257762 261711 275712 310176 331776 348948 367616 373248 386643 413568 465264 497664 515524 523422 551424 620352 697896 735232 746496 773286 827136 930528 995328 1031048 1046844 1102848 1159929 1240704 1395792 1470464 1492992 1546572 1654272 1861056 2062096 2093688 2205696 2319858 2481408 2791584 2985984 3093144 3308544 3479787 3722112 4124192 4187376 4411392 4639716 4962816 5583168 6186288 6617088 6959574 7444224 8248384 8374752 9279432 9925632 10439361 11166336 12372576 13234176 13919148 14888448 16496768 16749504 18558864 19851264 20878722 22332672 24745152 27838296 29776896 31318083 32993536 33499008 37117728 39702528 41757444 44665344 46268279 49490304 55676592 59553792 62636166 65987072 66998016 74235456 83514888 89330688 92536558 93954249 98980608 111353184 119107584 125272332 131974144 133996032 138804837 148470912 167029776 178661376 185073116 187908498 197961216 222706368 250544664 263948288 267992064 277609674 296941824 334059552 357322752 370146232 375816996 395922432 416414511 445412736 501089328 527896576 535984128 555219348 593883648 668119104 740292464 751633992 791844864 832829022 890825472 1002178656 1071968256 1110438696 1187767296 1249243533 1336238208 1480584928 1503267984 1583689728 1665658044 1781650944 2004357312 2220877392 2375534592 2498487066 2672476416 2961169856 3006535968 3331316088 3563301888 3747730599 4008714624 4441754784 4751069184 4996974132 5344952832 5922339712 6013071936 6662632176 7126603776 7495461198 8017429248 8883509568 9993948264 10689905664 11243191797 11844679424 12026143872 13325264352 14253207552 14990922396 16034858496 17767019136 19987896528 21379811328 22486383594 23689358848 24052287744 26650528704 29981844792 32069716992 33729575391 35534038272 39975793056 42759622656 44972767188 47378717696 48104575488 53301057408 59963689584 64139433984 67459150782 71068076544 79951586112 89945534376 94757435392 96209150976 106602114816 119927379168 128278867968 134918301564 142136153088 159903172224 179891068752 189514870784 192418301952 213204229632 239854758336 269836603128 284272306176 319806344448 359782137504 384836603904 426408459264 479709516672 539673206256 568544612352 639612688896 719564275008 852816918528 959419033344 1079346412512 1279225377792 1439128550016 1705633837056 1918838066688 2158692825024 2558450755584 2878257100032 3837676133376 4317385650048 5116901511168 5756514200064 7675352266752 8634771300096 11513028400128 15350704533504 17269542600192 23026056800256 34539085200384 46052113600512 69078170400768 138156340801536
• Sum of all divisors σ(n): 415386000347760
• Sum of proper divisors (its aliquot sum) s(n): 277229659546224
• 138156340801536 is an abundant number, because the sum of its proper divisors (277229659546224) is greater than itself. Its abundance is 139073318744688

Bases of 138156340801536

• Binary: 11111011010011100000111100111011111000000000000₂
• Hexadecimal: 0x7DA7079DF000
• Base-36: 1CZ05A8000

Squares and roots of 138156340801536

• 138156340801536 squared (138156340801536²) is 19087174503670160918939959296
• 138156340801536 cubed (138156340801536³) is 2637014185667443502745547558407795854278656
• The square root of 138156340801536 is 11753992.5472809453
• 138156340801536 is a perfect cube number. Its cube root is 51696

Scales and comparisons

• 138,156,340,801,536 seconds is equal to 4,392,944 years, 15 weeks, 1 day, 5 hours, 45 minutes, 36 seconds.
• To count from 1 to 138,156,340,801,536 would take you about ten million, nine hundred eighty-two thousand, three hundred sixty 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 138156340801536 cubic inches would be around 4308 feet tall.

Recreational maths with 138156340801536

• 138156340801536 backwards is 635108043651831
• 138156340801536 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138156340801536's digits is 54
• More coming soon!