138128649456525

Names of 138128649456525

• Cardinal: 138128649456525 can be written as One hundred thirty-eight trillion, one hundred twenty-eight billion, six hundred forty-nine million, four hundred fifty-six thousand, five hundred twenty-five.

Scientific notation

• Scientific notation: 1.38128649456525 × 10¹⁴

Factors of 138128649456525

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 2957

Divisors of 138128649456525

• Number of divisors d(n): 432
• Complete list of divisors:
  1 3 5 7 13 15 21 25 35 39 49 65 75 91 105 127 147 169 175 195 245 273 325 381 455 507 525 635 637 735 845 889 941 975 1183 1225 1365 1651 1861 1905 1911 2275 2535 2667 2823 3175 3185 3549 3675 4225 4445 4705 4953 5583 5915 6223 6587 6825 8255 8281 9305 9525 9555 11557 12233 12675 13027 13335 14115 15925 17745 18669 19761 21463 22225 23525 24193 24765 24843 27915 29575 31115 32935 34671 36699 39081 41275 41405 46109 46525 47775 57785 61165 64389 65135 66675 70575 72579 80899 85631 88725 91189 93345 98805 107315 119507 120965 123825 124215 138327 139575 150241 155575 159029 164675 169351 173355 183495 195405 207025 230545 236347 242697 256893 273567 288925 305825 314509 321945 325675 358521 362895 404495 428155 450723 455945 466725 477087 494025 508053 536575 597535 599417 604825 621075 691635 709041 751205 795145 836549 846755 866775 917475 943527 977025 1051687 1113203 1152725 1181735 1185457 1213485 1284465 1367835 1553591 1572545 1609725 1654429 1751201 1792605 1798251 1814475 2022475 2140775 2201563 2253615 2279725 2385435 2509647 2540265 2987675 2997085 3072511 3155061 3339609 3458175 3545205 3556371 3756025 3975725 4182745 4233775 4660773 4717635 4963287 5253603 5258435 5566015 5855843 5908675 5927285 6067425 6422325 6604689 6839175 7767955 7792421 7862725 8272145 8756005 8963025 8991255 9217533 10875137 11007815 11268075 11581003 11927175 12258407 12548235 12701325 14985425 15362555 15410941 15775305 16698045 17567529 17726025 17781855 20196683 20913725 21507577 22765613 23303865 23377263 23588175 24816435 26268015 26292175 27830075 29279215 29636425 32625411 33023445 34743009 36775221 38839775 38962105 39942643 41360725 43780025 44956275 46087665 46232823 54375685 55039075 57905015 60590049 61292035 62741175 64522731 68296839 76125959 76812775 77054705 78876525 83490225 85808849 87837645 88909275 100983415 107537885 113828065 116519325 116886315 119827929 124082175 131340075 141376781 146396075 150553039 159359291 163127055 165117225 173715045 183876105 194810525 199713215 222402527 228377877 230438325 231164115 257426547 271878425 279598501 289525075 295952969 302950245 306460175 322613655 341484195 380629795 385273525 424130343 429044245 439188225 451659117 478077873 504917075 537689425 569140325 584431575 599139645 667207581 706883905 752765195 796796455 815635275 838795503 868575225 887858907 919380525 989637467 998566075 1112012635 1115515037 1141889385 1155820575 1287132735 1397992505 1479764845 1514751225 1556817689 1613068275 1707420975 1903148975 1957189507 2071670783 2120651715 2145221225 2258295585 2390389365 2891232851 2968912401 2995698225 3336037905 3346545111 3534419525 3763825975 3983982275 4193977515 4439294535 4670453067 4948187335 5560063175 5577575185 5709446925 5871568521 6215012349 6435663675 6989962525 7398824225 7784088445 8673698553 9785947535 10358353915 10603258575 10897723823 11291477925 11951946825 14456164255 14501695481 14844562005 16680189525 16732725555 20238629957 20969887575 22196472675 23352265335 24740936675 27887875925 29357842605 31075061745 32693171469 37586027063 38920442225 43368492765 43505086443 48929737675 51791769575 54488619115 60715889871 72280821275 72508477405 74222810025 83663627775 101193149785 112758081189 116761326675 141670409699 146789213025 155375308725 163465857345 187930135315 216842463825 217525432215 263102189441 272443095575 303579449355 362542387025 425011229097 505965748925 563790405945 708352048495 789306568323 817329286725 939650676575 1087627161075 1315510947205 1517897246775 1841715326087 2125056145485 2818952029725 3541760242475 3946532841615 5525145978261 6577554736025 9208576630435 10625280727425 19732664208075 27625729891305 46042883152175 138128649456525
• Sum of all divisors σ(n): 290394361571328
• Sum of proper divisors (its aliquot sum) s(n): 152265712114803
• 138128649456525 is an abundant number, because the sum of its proper divisors (152265712114803) is greater than itself. Its abundance is 14137062658278

Bases of 138128649456525

• Binary: 11111011010000010010101000101011000101110001101₂
• Hexadecimal: 0x7DA095158B8D
• Base-36: 1CYNFBIDFX

Squares and roots of 138128649456525

• 138128649456525 squared (138128649456525²) is 19079523800683564177865075625
• 138128649456525 cubed (138128649456525³) is 2635428854862045599500362736663934274703125
• The square root of 138128649456525 is 11752814.5334011377
• The cube root of 138128649456525 is 51692.5458759331

Scales and comparisons

• 138,128,649,456,525 seconds is equal to 4,392,063 years, 41 weeks, 1 day, 13 hours, 28 minutes, 45 seconds.
• To count from 1 to 138,128,649,456,525 would take you about ten million, nine hundred eighty thousand, one hundred fifty-nine 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 138128649456525 cubic inches would be around 4307.7 feet tall.

Recreational maths with 138128649456525

• 138128649456525 backwards is 525654946821831
• The number of decimal digits it has is: 15
• The sum of 138128649456525's digits is 69
• More coming soon!