137868610201344
137,868,610,201,344 is an even composite number composed of six prime numbers multiplied together.
What does the number 137868610201344 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
137868610201344 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 137868610201344:
28 × 35 × 114 × 19 × 31 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 11 × 11 × 19 × 31 × 257)See below for interesting mathematical facts about the number 137868610201344 from the Numbermatics database.
Names of 137868610201344
- Cardinal: 137868610201344 can be written as One hundred thirty-seven trillion, eight hundred sixty-eight billion, six hundred ten million, two hundred one thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 1.37868610201344 × 1014
Factors of 137868610201344
Divisors of 137868610201344
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 31 32 33 36 38 44 48 54 57 62 64 66 72 76 81 88 93 96 99 108 114 121 124 128 132 144 152 162 171 176 186 192 198 209 216 228 242 243 248 256 257 264 279 288 297 304 324 341 342 352 363 372 384 396 418 432 456 484 486 496 513 514 528 558 576 589 594 608 627 648 682 684 704 726 744 768 771 792 836 837 864 891 912 968 972 992 1023 1026 1028 1056 1089 1116 1152 1178 1188 1216 1254 1296 1331 1364 1368 1408 1452 1488 1539 1542 1584 1672 1674 1728 1767 1782 1824 1881 1936 1944 1984 2046 2052 2056 2112 2178 2232 2299 2304 2313 2356 2376 2432 2508 2511 2592 2662 2673 2728 2736 2816 2827 2904 2976 3069 3078 3084 3168 3267 3344 3348 3456 3534 3564 3648 3751 3762 3872 3888 3968 3993 4092 4104 4112 4224 4356 4464 4598 4617 4626 4712 4752 4864 4883 5016 5022 5184 5301 5324 5346 5456 5472 5643 5654 5808 5952 6138 6156 6168 6336 6479 6534 6688 6696 6897 6912 6939 7068 7128 7296 7502 7524 7533 7744 7776 7936 7967 7986 8184 8208 8224 8448 8481 8712 8928 9196 9207 9234 9252 9424 9504 9766 9801 10032 10044 10368 10602 10648 10692 10912 10944 11253 11286 11308 11616 11904 11979 12276 12312 12336 12672 12958 13068 13376 13392 13794 13878 14136 14256 14592 14641 14649 15004 15048 15066 15488 15552 15903 15934 15972 16368 16416 16448 16929 16962 17424 17856 18392 18414 18468 18504 18848 19008 19437 19532 19602 20064 20088 20691 20736 20817 21204 21296 21384 21824 21888 22506 22572 22616 23232 23808 23901 23958 24552 24624 24672 25289 25344 25443 25916 26136 26752 26784 27588 27621 27756 28272 28512 29282 29298 29403 30008 30096 30132 30976 31097 31104 31806 31868 31944 32736 32832 32896 33759 33858 33924 34848 35712 35937 36784 36828 36936 37008 37696 38016 38874 39064 39204 40128 40176 41261 41382 41634 42408 42592 42768 43648 43776 43923 43947 45012 45144 45232 46464 47709 47802 47916 49104 49248 49344 50578 50787 50886 51832 52272 53504 53568 53713 55176 55242 55512 56544 57024 58311 58564 58596 58806 60016 60192 60264 62073 62194 62208 62451 63612 63736 63888 65472 65664 65792 67518 67716 67848 69696 71269 71424 71703 71874 73568 73656 73872 74016 75392 75867 76032 76329 77748 78128 78408 80256 80352 82522 82764 82863 83268 84816 85184 85536 87296 87637 87846 87894 90024 90288 90464 92928 93291 95418 95604 95832 98208 98496 98688 101156 101277 101574 101772 103664 104544 107136 107426 107811 110352 110484 111024 113088 114048 116622 117128 117192 117612 120032 120384 120528 123783 124146 124388 124902 127224 127472 127776 130944 131328 131769 131841 135036 135432 135696 139392 142538 143127 143406 143748 147136 147312 147744 148032 150784 151373 151734 152658 155496 156256 156816 160512 160704 161139 165044 165528 165726 166536 169632 170368 171072 174933 175274 175692 175788 180048 180576 180928 186219 186582 190836 191208 191664 196416 196992 197376 202312 202554 203148 203544 207328 209088 213807 214272 214852 215109 215622 220704 220968 222048 226176 227601 228096 228987 233244 234256 234384 235224 240064 240768 241056 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1111843630656 1139410001664 1209373773696 1276561205568 1392612224256 1436131356264 1482458174208 1566688752288 1702081607424 1814060660544 1914841808352 2088918336384 2154197034396 2223687261312 2418747547392 2553122411136 2872262712528 3133377504576 3628121321088 3829683616704 4177836672768 4308394068792 4447374522624 5106244822272 5744525425056 6266755009152 7256242642176 7659367233408 8616788137584 11489050850112 12533510018304 15318734466816 17233576275168 22978101700224 34467152550336 45956203400448 68934305100672 137868610201344
- Sum of all divisors σ(n): 494632550630400
- Sum of proper divisors (its aliquot sum) s(n): 356763940429056
- 137868610201344 is an abundant number, because the sum of its proper divisors (356763940429056) is greater than itself. Its abundance is 218895330227712
Bases of 137868610201344
- Binary: 111110101100100000010011000100101100111000000002
- Hexadecimal: 0x7D6409896700
- Base-36: 1CVBYQUO00
Squares and roots of 137868610201344
- 137868610201344 squared (1378686102013442) is 19007753678850134864219406336
- 137868610201344 cubed (1378686102013443) is 2620572582752551648756869840670905109315584
-
The
square root of 137868610201344 is 11741746.4715153851 -
The
cube root of 137868610201344 is 51660.0869199329
Scales and comparisons
How big is 137868610201344?- 137,868,610,201,344 seconds is equal to 4,383,795 years, 18 weeks, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 137,868,610,201,344 would take you about ten million, nine hundred fifty-nine thousand, four hundred eighty-eight 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 137868610201344 cubic inches would be around 4305 feet tall.
Recreational maths with 137868610201344
- 137868610201344 backwards is 443102016868731
- 137868610201344 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137868610201344's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 137868610201344 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 137868610201344 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/137868610201344/
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