10137304312128

Names of 10137304312128

• Cardinal: 10137304312128 can be written as Ten trillion, one hundred thirty-seven billion, three hundred four million, three hundred twelve thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.0137304312128 × 10¹³

Factors of 10137304312128

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 164243

Divisors of 10137304312128

• Number of divisors d(n): 420
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 98 108 112 126 144 147 162 168 189 192 196 216 224 243 252 288 294 324 336 378 392 432 441 448 486 504 567 576 588 648 672 729 756 784 864 882 972 1008 1134 1176 1296 1323 1344 1458 1512 1568 1701 1728 1764 1944 2016 2187 2268 2352 2592 2646 2916 3024 3136 3402 3528 3888 3969 4032 4374 4536 4704 5103 5184 5292 5832 6048 6561 6804 7056 7776 7938 8748 9072 9408 10206 10584 11664 11907 12096 13122 13608 14112 15309 15552 15876 17496 18144 19683 20412 21168 23328 23814 26244 27216 28224 30618 31752 34992 35721 36288 39366 40824 42336 45927 46656 47628 52488 54432 61236 63504 69984 71442 78732 81648 84672 91854 95256 104976 107163 108864 122472 127008 137781 139968 142884 157464 163296 164231 183708 190512 209952 214326 244944 254016 275562 285768 314928 321489 326592 328462 367416 381024 419904 428652 489888 492693 551124 571536 629856 642978 656924 734832 762048 857304 964467 979776 985386 1102248 1143072 1149617 1259712 1285956 1313848 1469664 1478079 1714608 1928934 1970772 2204496 2286144 2299234 2571912 2627696 2939328 2956158 3429216 3448851 3857868 3941544 4408992 4434237 4598468 5143824 5255392 5912316 6858432 6897702 7715736 7883088 8047319 8817984 8868474 9196936 10287648 10346553 10510784 11824632 13302711 13795404 15431472 15766176 16094638 17736948 18393872 20575296 20693106 23649264 24141957 26605422 27590808 30862944 31039659 31532352 32189276 35473896 36787744 39908133 41386212 47298528 48283914 53210844 55181616 61725888 62079318 64378552 70947792 72425871 73575488 79816266 82772424 93118977 94597056 96567828 106421688 110363232 119724399 124158636 128757104 141895584 144851742 159632532 165544848 186237954 193135656 212843376 217277613 220726464 239448798 248317272 257514208 279356931 283791168 289703484 319265064 331089696 359173197 372475908 386271312 425686752 434555226 478897596 496634544 515028416 558713862 579406968 638530128 651832839 662179392 718346394 744951816 772542624 838070793 851373504 869110452 957795192 993269088 1077519591 1117427724 1158813936 1277060256 1303665678 1436692788 1489903632 1545085248 1676141586 1738220904 1915590384 1955498517 1986538176 2155039182 2234855448 2317627872 2514212379 2554120512 2607331356 2873385576 2979807264 3232558773 3352283172 3476441808 3831180768 3910997034 4310078364 4469710896 4635255744 5028424758 5214662712 5746771152 5866495551 5959614528 6465117546 6704566344 6952883616 7542637137 7662361536 7821994068 8620156728 8939421792 10056849516 10429325424 11493542304 11732991102 12930235092 13409132688 13905767232 15085274274 15643988136 17240313456 17599486653 17878843584 20113699032 20858650848 22627911411 22987084608 23465982204 25860470184 26818265376 30170548548 31287976272 34480626912 35198973306 40227398064 41717301696 45255822822 46931964408 51720940368 52798459959 53636530752 60341097096 62575952544 68961253824 70397946612 80454796128 90511645644 93863928816 103441880736 105596919918 120682194192 125151905088 140795893224 158395379877 160909592256 181023291288 187727857632 206883761472 211193839836 241364388384 281591786448 316790759754 362046582576 375455715264 422387679672 482728776768 563183572896 633581519508 724093165152 844775359344 1126367145792 1267163039016 1448186330304 1689550718688 2534326078032 3379101437376 5068652156064 10137304312128
• Sum of all divisors σ(n): 35100358726752
• Sum of proper divisors (its aliquot sum) s(n): 24963054414624
• 10137304312128 is an abundant number, because the sum of its proper divisors (24963054414624) is greater than itself. Its abundance is 14825750102496

Bases of 10137304312128

• Binary: 10010011100001000110011011000010100101000000₂
• Hexadecimal: 0x938466C2940
• Base-36: 3LD0H9000

Squares and roots of 10137304312128

• 10137304312128 squared (10137304312128²) is 102764938716688943247888384
• 10137304312128 cubed (10137304312128³) is 1041759456388260482905278384753641521152
• The square root of 10137304312128 is 3183913.3644193273
• The cube root of 10137304312128 is 21642.5034090409

Scales and comparisons

• 10,137,304,312,128 seconds is equal to 322,334 years, 47 weeks, 6 days, 28 minutes, 48 seconds.
• To count from 1 to 10,137,304,312,128 would take you about eight hundred five thousand, eight hundred thirty-seven 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 10137304312128 cubic inches would be around 1803.5 feet tall.

Recreational maths with 10137304312128

• 10137304312128 backwards is 82121340373101
• 10137304312128 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 10137304312128's digits is 36
• More coming soon!