138018725602351700544

Names of 138018725602351700544

• Cardinal: 138018725602351700544 can be written as One hundred thirty-eight quintillion, eighteen quadrillion, seven hundred twenty-five trillion, six hundred two billion, three hundred fifty-one million, seven hundred thousand, five hundred forty-four.

Scientific notation

• Scientific notation: 1.38018725602351700544 × 10²⁰

Factors of 138018725602351700544

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1727

Divisors of 138018725602351700544

• Number of divisors d(n): 315
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 81 96 108 118 144 162 177 192 216 236 288 324 354 432 472 531 576 648 708 864 944 1062 1296 1416 1593 1663 1728 1888 2124 2592 2832 3186 3326 3481 3776 4248 4779 4989 5184 5664 6372 6652 6962 8496 9558 9978 10443 11328 12744 13304 13924 14967 16992 19116 19956 20886 25488 26608 27848 29934 31329 33984 38232 39912 41772 44901 50976 53216 55696 59868 62658 76464 79824 83544 89802 93987 98117 101952 106432 111392 119736 125316 134703 152928 159648 167088 179604 187974 196234 222784 239472 250632 269406 281961 294351 305856 319296 334176 359208 375948 392468 478944 501264 538812 563922 588702 668352 718416 751896 784936 883053 957888 1002528 1077624 1127844 1177404 1436832 1503792 1569872 1766106 2005056 2155248 2255688 2354808 2649159 2765569 2873664 3007584 3139744 3532212 4310496 4511376 4709616 5298318 5531138 5788903 6015168 6279488 7064424 7947477 8296707 8620992 9022752 9419232 10596636 11062276 11577806 14128848 15894954 16593414 17366709 18045504 18838464 21193272 22124552 23155612 24890121 28257696 31789908 33186828 34733418 42386544 44249104 46311224 49780242 52100127 56515392 63579816 66373656 69466836 74670363 84773088 88498208 92622448 99560484 104200254 127159632 132747312 138933672 149340726 156300381 163168571 169546176 176996416 185244896 199120968 208400508 224011089 254319264 265494624 277867344 298681452 312600762 326337142 370489792 398241936 416801016 448022178 468901143 489505713 508638528 530989248 555734688 597362904 625201524 652674284 796483872 833602032 896044356 937802286 979011426 1111469376 1194725808 1250403048 1305348568 1468517139 1592967744 1667204064 1792088712 1875604572 1958022852 2389451616 2500806096 2610697136 2937034278 3334408128 3584177424 3751209144 3916045704 4405551417 4778903232 5001612192 5221394272 5874068556 7168354848 7502418288 7832091408 8811102834 9626945689 10003224384 10442788544 11748137112 13216654251 14336709696 15004836576 15664182816 17622205668 19253891378 23496274224 26433308502 28880837067 30009673152 31328365632 35244411336 38507782756 46992548448 52866617004 57761674134 70488822672 77015565512 86642511201 93985096896 105733234008 115523348268 140977645344 154031131024 173285022402 211466468016 231046696536 259927533603 281955290688 308062262048 346570044804 422932936032 462093393072 519855067206 616124524096 693140089608 779782600809 845865872064 924186786144 1039710134412 1386280179216 1559565201618 1848373572288 2079420268824 2772560358432 3119130403236 4158840537648 5545120716864 6238260806472 8317681075296 12476521612944 16635362150592 24953043225888 49906086451776
• Sum of all divisors σ(n): 138018826273995387219
• Sum of proper divisors (its aliquot sum) s(n): 100671643686675
• 138018725602351700544 is a deficient number, because the sum of its proper divisors (100671643686675) is less than itself. Its deficiency is 138018624930708013869

Bases of 138018725602351700544

• Binary: 1110111101101100101000000111010111001001000010010001101101001000000₂
• Hexadecimal: 0x77B6503AE4848DA40
• Base-36: T4LNMYINN1G00

Squares and roots of 138018725602351700544

• 138018725602351700544 squared (138018725602351700544²) is 19049168616897252784156943948248649895936
• 138018725602351700544 cubed (138018725602351700544³) is 2629141976288471395609498271092518410222133196969138234589184
• 138018725602351700544 is a perfect square number. Its square root is 11748137112
• The cube root of 138018725602351700544 is 5167882.9793405469

Scales and comparisons

• 138,018,725,602,351,700,544 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,018,725,602,351,700,544 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 138018725602351700544 cubic inches would be around 430656.9 feet tall.

Recreational maths with 138018725602351700544

• 138018725602351700544 backwards is 445007153206527810831
• 138018725602351700544 is a Harshad number.
• The number of decimal digits it has is: 21
• The sum of 138018725602351700544's digits is 72
• More coming soon!