138741468008
138,741,468,008 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138741468008 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 384 divisors.
138741468008 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138741468008:
23 × 11 × 132 × 17 × 29 × 127 × 149
(2 × 2 × 2 × 11 × 13 × 13 × 17 × 29 × 127 × 149)See below for interesting mathematical facts about the number 138741468008 from the Numbermatics database.
Names of 138741468008
- Cardinal: 138741468008 can be written as One hundred thirty-eight billion, seven hundred forty-one million, four hundred sixty-eight thousand and eight.
Scientific notation
- Scientific notation: 1.38741468008 × 1011
Factors of 138741468008
Divisors of 138741468008
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 4 8 11 13 17 22 26 29 34 44 52 58 68 88 104 116 127 136 143 149 169 187 221 232 254 286 298 319 338 374 377 442 493 508 572 596 638 676 748 754 884 986 1016 1144 1192 1276 1352 1397 1496 1508 1639 1651 1768 1859 1937 1972 2159 2431 2533 2552 2794 2873 3016 3278 3302 3683 3718 3874 3944 4147 4318 4321 4862 4901 5066 5423 5588 5746 6409 6556 6604 7366 7436 7748 8294 8636 8642 9724 9802 10132 10846 11176 11492 12818 13112 13208 14732 14872 15496 16588 17272 17284 18161 18923 19448 19604 20264 21307 21463 21692 22984 23749 25181 25636 27863 28067 29464 31603 32929 33176 34568 36322 37846 39208 40513 42614 42926 43384 47498 47531 47879 50362 51272 53911 55726 56134 56173 62611 63206 65858 70499 72644 73457 75692 81026 83317 85228 85852 94996 95062 95758 100724 107822 111452 112268 112346 125222 126412 131716 140998 145288 146914 151384 162052 166634 170456 171704 189992 190124 191516 201448 208153 215644 222904 224536 224692 236093 245999 250444 252824 263432 276991 281996 293828 308737 321691 324104 333268 362219 364871 380248 383032 416306 428077 431288 449384 472186 491998 500888 526669 548767 553982 563992 587656 617474 617903 622427 643382 666536 688721 724438 729742 730249 808027 813943 832612 856154 916487 944372 954941 983996 1053338 1097534 1107964 1234948 1235806 1244854 1286764 1377442 1448876 1459484 1460498 1616054 1627886 1665224 1712308 1832974 1888744 1909882 1967992 2106676 2195068 2215928 2469896 2471612 2489708 2573528 2705989 2754884 2897752 2918968 2920996 3197987 3232108 3255772 3424616 3538601 3665948 3819764 4013581 4181983 4213352 4390136 4708847 4943224 4979416 5411978 5509768 5841992 6036437 6395974 6464216 6511544 6846697 7077202 7133971 7331896 7639528 8027162 8032739 8363966 8953373 9329039 9417694 10504351 10581259 10823956 12072874 12414233 12791948 13693394 14154404 14267942 16054324 16065478 16727932 17906746 18658078 18835388 21008702 21162518 21647912 24145748 24828466 25583896 27386788 28308808 28535884 32108648 32130956 33455864 35177857 35813492 37316156 37670776 42017404 42325036 46001813 48291496 49656932 54365779 54773576 57071768 64261912 70355714 71626984 74632312 78473681 84034808 84650072 92003626 92741623 99313864 102619429 108731558 116393849 121277507 136556563 140711428 156947362 184007252 185483246 205238858 217463116 232787698 242555014 273113126 281422856 313894724 368014504 370966492 410477716 434926232 465575396 485110028 546226252 598023569 627789448 741932984 820955432 931150792 970220056 1020157853 1092452504 1196047138 1334052577 1576607591 2040315706 2392094276 2668105154 3153215182 4080631412 4784188552 5336210308 6306430364 8161262824 10672420616 12612860728 17342683501 34685367002 69370734004 138741468008
- Sum of all divisors σ(n): 341521920000
- Sum of proper divisors (its aliquot sum) s(n): 202780451992
- 138741468008 is an abundant number, because the sum of its proper divisors (202780451992) is greater than itself. Its abundance is 64038983984
Bases of 138741468008
- Binary: 100000010011011010001011001011011010002
- Hexadecimal: 0x204DA2CB68
- Base-36: 1RQJ35UW
Squares and roots of 138741468008
- 138741468008 squared (1387414680082) is 19249194945014887488064
- 138741468008 cubed (1387414680083) is 2670661564643538331508950937856512
-
The
square root of 138741468008 is 372480.1578715301 -
The
cube root of 138741468008 is 5176.8879107807
Scales and comparisons
How big is 138741468008?- 138,741,468,008 seconds is equal to 4,411 years, 28 weeks, 4 days, 40 minutes, 8 seconds.
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To count from 1 to 138,741,468,008 would take you about eight thousand, eight hundred twenty-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 138741468008 cubic inches would be around 431.4 feet tall.
Recreational maths with 138741468008
- 138741468008 backwards is 800864147831
- The number of decimal digits it has is: 12
- The sum of 138741468008's digits is 50
- More coming soon!
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