137969429028288
137,969,429,028,288 is an even composite number composed of six prime numbers multiplied together.
What does the number 137969429028288 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 336 divisors.
137969429028288 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 137969429028288:
26 × 3 × 11 × 13 × 312 × 5229043
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 13 × 31 × 31 × 5229043)See below for interesting mathematical facts about the number 137969429028288 from the Numbermatics database.
Names of 137969429028288
- Cardinal: 137969429028288 can be written as One hundred thirty-seven trillion, nine hundred sixty-nine billion, four hundred twenty-nine million, twenty-eight thousand, two hundred eighty-eight.
Scientific notation
- Scientific notation: 1.37969429028288 × 1014
Factors of 137969429028288
Divisors of 137969429028288
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 24 26 31 32 33 39 44 48 52 62 64 66 78 88 93 96 104 124 132 143 156 176 186 192 208 248 264 286 312 341 352 372 403 416 429 496 528 572 624 682 704 744 806 832 858 961 992 1023 1056 1144 1209 1248 1364 1488 1612 1716 1922 1984 2046 2112 2288 2418 2496 2728 2883 2976 3224 3432 3844 4092 4433 4576 4836 5456 5766 5952 6448 6864 7688 8184 8866 9152 9672 10571 10912 11532 12493 12896 13299 13728 15376 16368 17732 19344 21142 21824 23064 24986 25792 26598 27456 30752 31713 32736 35464 37479 38688 42284 46128 49972 53196 61504 63426 65472 70928 74958 77376 84568 92256 99944 106392 126852 137423 141856 149916 169136 184512 199888 212784 253704 274846 283712 299832 338272 399776 412269 425568 507408 549692 599664 676544 799552 824538 851136 1014816 1099384 1199328 1649076 2029632 2198768 2398656 3298152 4397536 5229043 6596304 8795072 10458086 13192608 15687129 20916172 26385216 31374258 41832344 57519473 62748516 67977559 83664688 115038946 125497032 135955118 162100333 167329376 172558419 203932677 230077892 250994064 271910236 324200666 334658752 345116838 407865354 460155784 486300999 501988128 543820472 648401332 690233676 747753149 815730708 920311568 972601998 1003976256 1087640944 1296802664 1380467352 1495506298 1631461416 1783103663 1840623136 1945203996 2107304329 2175281888 2243259447 2593605328 2760934704 2991012596 3262922832 3566207326 3681246272 3890407992 4214608658 4350563776 4486518894 5025110323 5187210656 5349310989 5521869408 5982025192 6321912987 6525845664 7132414652 7780815984 8429217316 8973037788 10050220646 10374421312 10698621978 11043738816 11964050384 12643825974 13051691328 14264829304 15075330969 15561631968 16858434632 17946075576 20100441292 21397243956 23180347619 23928100768 25287651948 28529658608 30150661938 31123263936 33716869264 35892151152 40200882584 42794487912 46360695238 47856201536 50575303896 55276213553 57059317216 60301323876 65326434199 67433738528 69541042857 71784302304 80401765168 85588975824 92721390476 101150607792 110552427106 114118634432 120602647752 130652868398 134867477056 139082085714 143568604608 160803530336 165828640659 171177951648 185442780952 195979302597 202301215584 221104854212 241205295504 261305736796 278164171428 321607060672 331657281318 342355903296 370885561904 391958605194 404602431168 442209708424 482410591008 522611473592 556328342856 663314562636 718590776189 741771123808 783917210388 884419416848 964821182016 1045222947184 1112656685712 1326629125272 1437181552378 1483542247616 1567834420776 1768838833696 2090445894368 2155772328567 2225313371424 2653258250544 2874363104756 3135668841552 3537677667392 4180891788736 4311544657134 4450626742848 5306516501088 5748726209512 6271337683104 8623089314268 10613033002176 11497452419024 12542675366208 17246178628536 22994904838048 34492357257072 45989809676096 68984714514144 137969429028288
- Sum of all divisors σ(n): 443143658418048
- Sum of proper divisors (its aliquot sum) s(n): 305174229389760
- 137969429028288 is an abundant number, because the sum of its proper divisors (305174229389760) is greater than itself. Its abundance is 167204800361472
Bases of 137969429028288
- Binary: 111110101111011100000101100111010011101110000002
- Hexadecimal: 0x7D7B82CE9DC0
- Base-36: 1CWMA3S0QO
Squares and roots of 137969429028288
- 137969429028288 squared (1379694290282882) is 19035563346391799415904210944
- 137969429028288 cubed (1379694290282883) is 2626325806133483791637568724516329295183872
-
The
square root of 137969429028288 is 11746038.8654340831 -
The
cube root of 137969429028288 is 51672.6762983643
Scales and comparisons
How big is 137969429028288?- 137,969,429,028,288 seconds is equal to 4,387,001 years, 3 weeks, 6 days, 12 hours, 44 minutes, 48 seconds.
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To count from 1 to 137,969,429,028,288 would take you about ten million, nine hundred sixty-seven thousand, five hundred two 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 137969429028288 cubic inches would be around 4306.1 feet tall.
Recreational maths with 137969429028288
- 137969429028288 backwards is 882820924969731
- 137969429028288 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137969429028288's digits is 78
- More coming soon!
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