137145436416
137,145,436,416 is an even composite number composed of five prime numbers multiplied together.
What does the number 137145436416 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 648 divisors.
137145436416 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 137145436416:
28 × 35 × 192 × 31 × 197
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 19 × 19 × 31 × 197)See below for interesting mathematical facts about the number 137145436416 from the Numbermatics database.
Names of 137145436416
- Cardinal: 137145436416 can be written as One hundred thirty-seven billion, one hundred forty-five million, four hundred thirty-six thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.37145436416 × 1011
Factors of 137145436416
Divisors of 137145436416
- Number of divisors d(n): 648
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 31 32 36 38 48 54 57 62 64 72 76 81 93 96 108 114 124 128 144 152 162 171 186 192 197 216 228 243 248 256 279 288 304 324 342 361 372 384 394 432 456 486 496 513 558 576 589 591 608 648 684 722 744 768 788 837 864 912 972 992 1026 1083 1116 1152 1178 1182 1216 1296 1368 1444 1488 1539 1576 1674 1728 1767 1773 1824 1944 1984 2052 2166 2232 2304 2356 2364 2432 2511 2592 2736 2888 2976 3078 3152 3249 3348 3456 3534 3546 3648 3743 3888 3968 4104 4332 4464 4617 4712 4728 4864 5022 5184 5301 5319 5472 5776 5952 6107 6156 6304 6498 6696 6912 7068 7092 7296 7486 7533 7776 7936 8208 8664 8928 9234 9424 9456 9747 10044 10368 10602 10638 10944 11191 11229 11552 11904 12214 12312 12608 12996 13392 14136 14184 14592 14972 15066 15552 15903 15957 16416 17328 17856 18321 18468 18848 18912 19494 20088 20736 21204 21276 21888 22382 22458 23104 23808 24428 24624 25216 25992 26784 28272 28368 29241 29944 30132 31104 31806 31914 32832 33573 33687 34656 35712 36642 36936 37696 37824 38988 40176 42408 42552 43776 44764 44916 46208 47709 47871 48856 49248 50432 51984 53568 54963 56544 56736 58482 59888 60264 62208 63612 63828 65664 67146 67374 69312 71117 71424 73284 73872 75392 75648 77976 80352 84816 85104 87723 89528 89832 92416 95418 95742 97712 98496 100719 101061 103968 107136 109926 113088 113472 116033 116964 119776 120528 127224 127656 131328 134292 134748 138624 142234 143127 146568 147744 150784 151296 155952 160704 164889 169632 170208 175446 179056 179664 190836 191484 195424 196992 201438 202122 207936 213351 214272 219852 226176 226944 232066 233928 239552 241056 254448 255312 268584 269496 277248 284468 286254 293136 295488 302157 303183 311904 321408 329778 339264 340416 348099 350892 358112 359328 381672 382968 390848 393984 402876 404244 415872 426702 439704 452352 453888 464132 467856 479104 482112 494667 508896 510624 537168 538992 568936 572508 586272 590976 604314 606366 623808 640053 642816 659556 678528 680832 696198 701784 716224 718656 763344 765936 781696 805752 808488 831744 853404 879408 906471 909549 928264 935712 958208 964224 989334 1017792 1021248 1044297 1074336 1077984 1137872 1145016 1172544 1181952 1208628 1212732 1247616 1280106 1319112 1357056 1361664 1392396 1403568 1432448 1437312 1484001 1526688 1531872 1563392 1611504 1616976 1706808 1758816 1812942 1819098 1856528 1871424 1920159 1928448 1978668 2035584 2042496 2088594 2148672 2155968 2204627 2275744 2290032 2345088 2417256 2425464 2495232 2560212 2638224 2719413 2784792 2807136 2864896 2874624 2968002 3053376 3063744 3132891 3223008 3233952 3413616 3517632 3625884 3638196 3713056 3742848 3840318 3957336 4071168 4084992 4177188 4297344 4311936 4409254 4551488 4580064 4690176 4834512 4850928 5120424 5276448 5438826 5569584 5614272 5760477 5936004 6106752 6127488 6265782 6446016 6467904 6613881 6827232 7035264 7251768 7276392 7426112 7485696 7680636 7914672 8354376 8594688 8623872 8818508 9102976 9160128 9398673 9669024 9701856 10240848 10552896 10877652 11139168 11228544 11520954 11872008 12213504 12254976 12531564 12892032 12935808 13227762 13654464 14070528 14503536 14552784 14852224 15361272 15829344 16708752 17281431 17637016 18205952 18320256 18797346 19338048 19403712 19841643 20481696 21105792 21755304 22278336 22457088 23041908 23744016 25063128 25784064 25871616 26455524 27308928 28196019 29007072 29105568 29704448 30722544 31658688 33417504 34562862 35274032 36640512 37594692 38676096 38807424 39683286 40963392 42211584 43510608 44556672 46083816 47488032 50126256 52911048 54617856 56392038 58014144 58211136 59524929 61445088 63317376 66835008 69125724 70548064 75189384 77352192 77614848 79366572 81926784 87021216 89113344 92167632 94976064 100252512 105822096 112784076 116028288 116422272 119049858 122890176 126634752 133670016 138251448 141096128 150378768 158733144 163853568 174042432 178574787 184335264 189952128 200505024 211644192 225568152 232056576 232844544 238099716 245780352 267340032 276502896 282192256 300757536 317466288 348084864 357149574 368670528 379904256 401010048 423288384 451136304 476199432 491560704 535724361 553005792 564384512 601515072 634932576 696169728 714299148 737341056 802020096 846576768 902272608 952398864 1071448722 1106011584 1203030144 1269865152 1428598296 1474682112 1693153536 1804545216 1904797728 2142897444 2212023168 2406060288 2539730304 2857196592 3609090432 3809595456 4285794888 4424046336 5079460608 5714393184 7218180864 7619190912 8571589776 11428786368 15238381824 17143179552 22857572736 34286359104 45715145472 68572718208 137145436416
- Sum of all divisors σ(n): 449016632064
- Sum of proper divisors (its aliquot sum) s(n): 311871195648
- 137145436416 is an abundant number, because the sum of its proper divisors (311871195648) is greater than itself. Its abundance is 174725759232
Bases of 137145436416
- Binary: 11111111011101000000101001001000000002
- Hexadecimal: 0x1FEE814900
- Base-36: 1R04UO00
Squares and roots of 137145436416
- 137145436416 squared (1371454364162) is 18808870729735098925056
- 137145436416 cubed (1371454364163) is 2579550784721648530149737597239296
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The
square root of 137145436416 is 370331.5223094031 -
The
cube root of 137145436416 is 5156.9602864797
Scales and comparisons
How big is 137145436416?- 137,145,436,416 seconds is equal to 4,360 years, 41 weeks, 4 days, 10 hours, 33 minutes, 36 seconds.
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To count from 1 to 137,145,436,416 would take you about eight thousand, seven hundred twenty-one 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 137145436416 cubic inches would be around 429.7 feet tall.
Recreational maths with 137145436416
- 137145436416 backwards is 614634541731
- The number of decimal digits it has is: 12
- The sum of 137145436416's digits is 45
- More coming soon!
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The information we have on file for 137145436416 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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