137945920896
137,945,920,896 is an even composite number composed of seven prime numbers multiplied together.
137945920896 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 137945920896:
27 × 32 × 7 × 31 × 41 × 43 × 313
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 31 × 41 × 43 × 313)See below for interesting mathematical facts about the number 137945920896 from the Numbermatics database.
Names of 137945920896
- Cardinal: 137945920896 can be written as One hundred thirty-seven billion, nine hundred forty-five million, nine hundred twenty thousand, eight hundred ninety-six.
Scientific notation
- Scientific notation: 1.37945920896 × 1011
Factors of 137945920896
Divisors of 137945920896
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 41 42 43 48 56 62 63 64 72 82 84 86 93 96 112 123 124 126 128 129 144 164 168 172 186 192 217 224 246 248 252 258 279 287 288 301 313 328 336 344 369 372 384 387 434 448 492 496 504 516 558 574 576 602 626 651 656 672 688 738 744 774 861 868 896 903 939 984 992 1008 1032 1116 1148 1152 1204 1252 1271 1302 1312 1333 1344 1376 1476 1488 1548 1722 1736 1763 1806 1878 1953 1968 1984 2016 2064 2191 2232 2296 2408 2504 2542 2583 2604 2624 2666 2688 2709 2752 2817 2952 2976 3096 3444 3472 3526 3612 3756 3813 3906 3936 3968 3999 4032 4128 4382 4464 4592 4816 5008 5084 5166 5208 5248 5289 5332 5418 5504 5634 5904 5952 6192 6573 6888 6944 7052 7224 7512 7626 7812 7872 7998 8064 8256 8764 8897 8928 9184 9331 9632 9703 10016 10168 10332 10416 10578 10664 10836 11268 11439 11808 11904 11997 12341 12384 12833 13146 13459 13776 13888 14104 14448 15024 15252 15624 15744 15867 15996 16512 17528 17794 17856 18368 18662 19264 19406 19719 20032 20336 20664 20832 21156 21328 21672 22536 22878 23616 23994 24682 24768 25666 26292 26691 26918 27552 27776 27993 28208 28896 29109 30048 30504 31248 31734 31992 35056 35588 35712 36736 37023 37324 38499 38528 38812 39438 40064 40377 40672 41328 41664 42312 42656 43344 45072 45756 47232 47988 49364 49536 51332 52584 53382 53836 54653 55104 55986 56416 57792 58218 60096 61008 62496 63468 63984 67921 70112 71176 74046 74648 76998 77624 78876 80073 80754 81344 82656 83328 83979 84624 85312 86688 87327 89831 90144 91512 94213 95976 98728 102664 105168 106764 107672 109306 110208 111069 111972 112832 115497 115584 116436 120192 121131 122016 124992 126936 127968 135842 140224 142352 148092 149296 153996 155248 157752 160146 161508 162688 163959 165312 167958 169248 170624 173376 174654 179662 180288 183024 188426 191952 197456 203763 205328 210336 213528 215344 218612 222138 223944 225664 230994 232872 242262 244032 249984 253872 255936 269493 271684 280448 282639 284704 296184 298592 307992 310496 315504 320292 323016 327918 330624 335916 338496 346752 349308 359324 360576 366048 376852 382571 383904 394912 397823 407526 410656 417229 420672 427056 430688 437224 444276 447888 461988 465744 484524 488064 491877 507744 511872 538986 543368 551819 565278 569408 592368 597184 611289 615984 620992 631008 640584 646032 655836 671832 676992 698616 718648 732096 753704 765142 767808 789824 795646 808479 815052 821312 834458 841344 847917 854112 861376 874448 888552 895776 923976 931488 969048 983754 1015488 1077972 1086736 1103638 1130556 1138816 1147713 1184736 1193469 1194368 1222578 1231968 1241984 1251687 1262016 1281168 1292064 1311672 1343664 1397232 1437296 1464192 1507408 1530284 1535616 1579648 1591292 1616958 1630104 1642624 1655457 1668916 1695834 1708224 1722752 1748896 1777104 1791552 1847952 1862976 1938096 1967508 2030976 2155944 2173472 2207276 2261112 2295426 2369472 2386938 2445156 2463936 2503374 2524032 2562336 2584128 2623344 2687328 2784761 2794464 2874592 2920603 3014816 3060568 3182584 3233916 3260208 3310914 3337832 3391668 3416448 3443139 3497792 3554208 3580407 3583104 3695904 3725952 3755061 3862733 3876192 3935016 4311888 4346944 4414552 4522224 4590852 4738944 4773876 4890312 4927872 4966371 5006748 5124672 5168256 5246688 5374656 5569522 5588928 5749184 5841206 6029632 6121136 6365168 6467832 6520416 6621828 6675664 6783336 6886278 6995584 7108416 7160814 7391808 7510122 7725466 7752384 7870032 8354283 8623776 8693888 8761809 8829104 9044448 9181704 9547752 9780624 9932742 10013496 10249344 10493376 10749312 11139044 11177856 11498368 11588199 11682412 12059264 12242272 12730336 12935664 13040832 13243656 13351328 13566672 13772556 14216832 14321628 14783616 15020244 15450932 15504768 15740064 16708566 17106389 17247552 17523618 17658208 18088896 18363408 19095504 19561248 19865484 20026992 20986752 22278088 23176398 23364824 24484544 25062849 25460672 25871328 26081664 26285427 26487312 26702656 27133344 27545112 28643256 30040488 30901864 31480128 33417132 34212778 34495104 34764597 35047236 35316416 36177792 36726816 38191008 39122496 39730968 40053984 44556176 46352796 46729648 48969088 50125698 50921344 51319167 51742656 52570854 52974624 53405312 54266688 55090224 57286512 60080976 61803728 62960256 66834264 68425556 69529194 70094472 70632832 73453632 76382016 78244992 79461936 80107968 89112352 92705592 93459296 100251396 102638334 103485312 105141708 105949248 108533376 110180448 114573024 119744723 120161952 123607456 133668528 136851112 139058388 140188944 146907264 152764032 153957501 158923872 160215936 178224704 185411184 186918592 200502792 205276668 210283416 211898496 220360896 229146048 239489446 240323904 247214912 267337056 273702224 278116776 280377888 307915002 317847744 356449408 359234169 370822368 373837184 401005584 410553336 420566832 440721792 458292096 478978892 480647808 494429824 534674112 547404448 556233552 560755776 615830004 635695488 718468338 741644736 802011168 821106672 841133664 957957784 1069348224 1077702507 1094808896 1112467104 1121511552 1231660008 1436936676 1483289472 1604022336 1642213344 1682267328 1915915568 2155405014 2189617792 2224934208 2463320016 2873873352 3208044672 3284426688 3364534656 3831831136 4310810028 4449868416 4926640032 5747746704 6568853376 7663662272 8621620056 9853280064 11495493408 15327324544 17243240112 19706560128 22990986816 34486480224 45981973632 68972960448 137945920896
- Sum of all divisors σ(n): 492442030080
- Sum of proper divisors (its aliquot sum) s(n): 354496109184
- 137945920896 is an abundant number, because the sum of its proper divisors (354496109184) is greater than itself. Its abundance is 216550188288
Bases of 137945920896
- Binary: 100000000111100011011110110101100000002
- Hexadecimal: 0x201E37B580
- Base-36: 1RDDFTS0
Squares and roots of 137945920896
- 137945920896 squared (1379459208962) is 19029077091845489442816
- 137945920896 cubed (1379459208963) is 2624983563235603613333099051483136
-
The
square root of 137945920896 is 371410.7172605551 -
The
cube root of 137945920896 is 5166.9741355659
Scales and comparisons
How big is 137945920896?- 137,945,920,896 seconds is equal to 4,386 years, 13 weeks, 1 day, 7 hours, 21 minutes, 36 seconds.
-
To count from 1 to 137,945,920,896 would take you about eight thousand, seven hundred seventy-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 137945920896 cubic inches would be around 430.6 feet tall.
Recreational maths with 137945920896
- 137945920896 backwards is 698029549731
- 137945920896 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137945920896's digits is 63
- More coming soon!
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The information we have on file for 137945920896 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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