138677055290496
138,677,055,290,496 is an even composite number composed of five prime numbers multiplied together.
What does the number 138677055290496 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 432 divisors.
138677055290496 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 138677055290496:
27 × 32 × 113 × 1272 × 2572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 113 × 127 × 127 × 257 × 257)See below for interesting mathematical facts about the number 138677055290496 from the Numbermatics database.
Names of 138677055290496
- Cardinal: 138677055290496 can be written as One hundred thirty-eight trillion, six hundred seventy-seven billion, fifty-five million, two hundred ninety thousand, four hundred ninety-six.
Scientific notation
- Scientific notation: 1.38677055290496 × 1014
Factors of 138677055290496
Divisors of 138677055290496
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 113 127 128 144 192 226 254 257 288 339 381 384 452 508 514 576 678 762 771 904 1016 1017 1028 1143 1152 1356 1524 1542 1808 2032 2034 2056 2286 2313 2712 3048 3084 3616 4064 4068 4112 4572 4626 5424 6096 6168 7232 8128 8136 8224 9144 9252 10848 12192 12336 14351 14464 16129 16256 16272 16448 18288 18504 21696 24384 24672 28702 29041 32258 32544 32639 32896 36576 37008 43053 43392 48387 48768 49344 57404 58082 64516 65088 65278 66049 73152 74016 86106 87123 96774 97917 98688 114808 116164 129032 129159 130176 130556 132098 145161 146304 148032 172212 174246 193548 195834 198147 229616 232328 258064 258318 261112 261369 264196 290322 293751 296064 344424 348492 387096 391668 396294 459232 464656 516128 516636 522224 522738 528392 580644 587502 594441 688848 696984 774192 783336 792588 918464 929312 1032256 1033272 1044448 1045476 1056784 1161288 1175004 1188882 1377696 1393968 1548384 1566672 1585176 1822577 1836928 1858624 2064512 2066544 2088896 2090952 2113568 2322576 2350008 2377764 2755392 2787936 3096768 3133344 3170352 3645154 3688207 3717248 4133088 4145153 4177792 4181904 4227136 4645152 4700016 4755528 5467731 5510784 5575872 6193536 6266688 6340704 7290308 7376414 7463537 8266176 8290306 8363808 8388223 8454272 9290304 9400032 9511056 10935462 11064621 11151744 12435459 12533376 12681408 14580616 14752828 14927074 16403193 16532352 16580612 16727616 16776446 18580608 18800064 19022112 21870924 22129242 22390611 24870918 25164669 25362816 29161232 29505656 29854148 32806386 33161224 33193863 33455232 33552892 37306377 37600128 38044224 43741848 44258484 44781222 49741836 50329338 58322464 59011312 59708296 65612772 66322448 66387726 67105784 67171833 74612754 75494007 76088448 87483696 88516968 89562444 99483672 100658676 116644928 118022624 119416592 131225544 132644896 132775452 134211568 134343666 149225508 150988014 174967392 177033936 179124888 198967344 201317352 233289856 236045248 238833184 262451088 265289792 265550904 268423136 268687332 298451016 301976028 349934784 354067872 358249776 397934688 402634704 468402289 472090496 477666368 524902176 530579584 531101808 536846272 537374664 596902032 603952056 699869568 708135744 716499552 795869376 805269408 936804578 947869199 955332736 1049804352 1062203616 1065304321 1073692544 1074749328 1193804064 1207904112 1405206867 1416271488 1432999104 1591738752 1610538816 1873609156 1895738398 2099608704 2124407232 2130608642 2149498656 2387608128 2415808224 2810413734 2843607597 2865998208 3195912963 3221077632 3747218312 3791476796 4215620601 4248814464 4261217284 4298997312 4775216256 4831616448 5620827468 5687215194 6391825926 7494436624 7582953592 8431241202 8522434568 8530822791 8597994624 9587738889 9663232896 11241654936 11374430388 12783651852 14988873248 15165907184 16862482404 17044869136 17061645582 19175477778 22483309872 22748860776 25567303704 29977746496 30331814368 33724964808 34089738272 34123291164 38350955556 44966619744 45497721552 51134607408 59955492992 60663628736 67449929616 68179476544 68246582328 76701911112 89933239488 90995443104 102269214816 120379388273 121327257472 134899859232 136358953088 136493164656 153403822224 179866478976 181990886208 204538429632 240758776546 269799718464 272986329312 306807644448 361138164819 363981772416 409076859264 481517553092 539599436928 545972658624 613615288896 722276329638 963035106184 1083414494457 1091945317248 1227230577792 1444552659276 1926070212368 2166828988914 2889105318552 3852140424736 4333657977828 5778210637104 7704280849472 8667315955656 11556421274208 15408561698944 17334631911312 23112842548416 34669263822624 46225685096832 69338527645248 138677055290496
- Sum of all divisors σ(n): 407369180061090
- Sum of proper divisors (its aliquot sum) s(n): 268692124770594
- 138677055290496 is an abundant number, because the sum of its proper divisors (268692124770594) is greater than itself. Its abundance is 130015069480098
Bases of 138677055290496
- Binary: 111111000100000010001001001111001111100100000002
- Hexadecimal: 0x7E20449E7C80
- Base-36: 1D5NCY6N40
Squares and roots of 138677055290496
- 138677055290496 squared (1386770552904962) is 19231325664043284622947926016
- 138677055290496 cubed (1386770552904963) is 2666943612422065284139121808084643595943936
-
The
square root of 138677055290496 is 11776122.2518491203 -
The
cube root of 138677055290496 is 51760.8663859973
Scales and comparisons
How big is 138677055290496?- 138,677,055,290,496 seconds is equal to 4,409,501 years, 20 weeks, 6 days, 7 hours, 21 minutes, 36 seconds.
-
To count from 1 to 138,677,055,290,496 would take you about eleven million, twenty-three thousand, seven hundred fifty-three 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 138677055290496 cubic inches would be around 4313.4 feet tall.
Recreational maths with 138677055290496
- 138677055290496 backwards is 694092550776831
- 138677055290496 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138677055290496's digits is 72
- More coming soon!
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