137435096448
137,435,096,448 is an even composite number composed of seven prime numbers multiplied together.
137435096448 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 137435096448:
27 × 32 × 13 × 23 × 31 × 61 × 211
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 23 × 31 × 61 × 211)See below for interesting mathematical facts about the number 137435096448 from the Numbermatics database.
Names of 137435096448
- Cardinal: 137435096448 can be written as One hundred thirty-seven billion, four hundred thirty-five million, ninety-six thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 1.37435096448 × 1011
Factors of 137435096448
Divisors of 137435096448
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 23 24 26 31 32 36 39 46 48 52 61 62 64 69 72 78 92 93 96 104 117 122 124 128 138 144 156 183 184 186 192 207 208 211 234 244 248 276 279 288 299 312 366 368 372 384 403 414 416 422 468 488 496 549 552 558 576 598 624 633 713 732 736 744 793 806 828 832 844 897 936 976 992 1098 1104 1116 1152 1196 1209 1248 1266 1403 1426 1464 1472 1488 1586 1612 1656 1664 1688 1794 1872 1891 1899 1952 1984 2139 2196 2208 2232 2379 2392 2418 2496 2532 2691 2743 2806 2852 2928 2944 2976 3172 3224 3312 3376 3588 3627 3744 3782 3798 3904 3968 4209 4278 4392 4416 4464 4758 4784 4836 4853 4992 5064 5382 5486 5612 5673 5704 5856 5952 6344 6417 6448 6541 6624 6752 7137 7176 7254 7488 7564 7596 7808 8229 8418 8556 8784 8832 8928 9269 9516 9568 9672 9706 10128 10764 10972 11224 11346 11408 11712 11904 12627 12688 12834 12871 12896 13082 13248 13504 14274 14352 14508 14559 14976 15128 15192 16458 16836 17019 17112 17568 17856 18239 18538 19032 19136 19344 19412 19623 20256 21528 21944 22448 22692 22816 23424 24583 24687 25254 25376 25668 25742 25792 26164 26496 27008 27807 28548 28704 29016 29118 30256 30384 32916 33672 34038 34224 35136 35712 36478 37076 38064 38272 38613 38688 38824 39246 40512 43056 43493 43677 43888 44896 45384 45632 49166 49374 50508 50752 51336 51484 51584 52328 54717 55614 57096 57408 58032 58236 58869 60512 60768 63089 65832 67344 68076 68448 70272 72956 73749 74152 76128 77226 77376 77648 78492 81024 83421 85033 86112 86986 87354 87776 89792 90768 91264 98332 98748 101016 101504 102672 102968 104656 109434 111228 114192 114816 115839 116064 116472 117738 121024 121536 126178 130479 131664 134688 136152 136896 145912 147498 148304 150443 152256 154452 154752 155296 156984 164151 166842 167323 170066 172224 173972 174708 175552 179584 181536 189267 196664 197496 202032 205344 205936 209312 218868 221247 222456 228384 231678 232128 232944 235476 242048 243072 252356 255099 260958 263328 269376 272304 273792 291824 294996 296033 296608 300886 304512 308904 310592 313968 328302 333684 334646 340132 344448 347944 349416 351104 363072 378534 391437 393328 394992 399001 404064 410688 411872 418624 437736 442494 444912 451329 456768 463356 464256 465888 470952 501969 504712 510198 521916 526656 538752 544608 565409 567801 583648 589992 592066 593216 601772 617808 621184 627936 656604 667368 669292 680264 695888 698832 726144 757068 765297 782874 786656 789984 798002 808128 821376 823744 837248 875472 884988 888099 889824 902658 913536 926712 931776 941904 1003938 1009424 1020396 1043832 1053312 1089216 1130818 1135602 1167296 1179984 1184132 1186432 1197003 1203544 1235616 1255872 1313208 1334736 1338584 1353987 1360528 1391776 1397664 1505907 1514136 1530594 1565748 1573312 1579968 1596004 1616256 1647488 1696227 1750944 1769976 1776198 1779648 1805316 1853424 1863552 1883808 1955759 2007876 2018848 2040792 2087664 2178432 2261636 2271204 2334592 2359968 2368264 2394006 2407088 2471232 2511744 2626416 2664297 2669472 2677168 2707974 2721056 2783552 2795328 3011814 3028272 3061188 3131496 3146624 3159936 3192008 3392454 3501888 3539952 3552396 3559296 3591009 3610632 3706848 3767616 3848429 3911518 4015752 4037696 4081584 4175328 4523272 4542408 4719936 4736528 4788012 4814176 4942464 5088681 5187013 5252832 5328594 5338944 5354336 5415948 5442112 5567104 5590656 5867277 6023628 6056544 6122376 6262992 6384016 6784908 7003776 7079904 7104792 7182018 7221264 7413696 7535232 7696858 7823036 8031504 8075392 8163168 8350656 9046544 9084816 9177023 9439872 9473056 9576024 9628352 10177362 10374026 10505664 10657188 10677888 10708672 10831896 10884224 11545287 11734554 12047256 12113088 12244752 12525984 12768032 13569816 14159808 14209584 14364036 14442528 14827392 15393716 15561039 15646072 16063008 16326336 16701312 17601831 18093088 18169632 18354046 18946112 19152048 19256704 20354724 20748052 21011328 21314376 21417344 21663792 23090574 23469108 24094512 24226176 24489504 25051968 25536064 27139632 27531069 28319616 28419168 28728072 28885056 30787432 31122078 31292144 32126016 32652672 34635861 35203662 36186176 36339264 36708092 37892224 38304096 40709448 41496104 42628752 43327584 46181148 46683117 46938216 48189024 48979008 50103936 51072128 54279264 55062138 56838336 57456144 57770112 61574864 62244156 62584288 64252032 69271722 70407324 72372352 72678528 73416184 76608192 81418896 82593207 82992208 85257504 86655168 92362296 93366234 93876432 96378048 97958016 108558528 110124276 113676672 114912288 119301299 123149728 124488312 125168576 138543444 140814648 146832368 153216384 162837792 165186414 165984416 170515008 173310336 184724592 186732468 187752864 192756096 217117056 220248552 229824576 238602598 246299456 248976624 250337152 277086888 281629296 293664736 325675584 330372828 331968832 341030016 357903897 369449184 373464936 375505728 440497104 459649152 477205196 492598912 497953248 554173776 563258592 587329472 651351168 660745656 663937664 715807794 738898368 746929872 751011456 880994208 954410392 995906496 1073711691 1108347552 1126517184 1174658944 1321491312 1431615588 1477796736 1493859744 1761988416 1908820784 1991812992 2147423382 2216695104 2253034368 2642982624 2863231176 2987719488 3523976832 3817641568 4294846764 4433390208 5285965248 5726462352 5975438976 7635283136 8589693528 10571930496 11452924704 15270566272 17179387056 22905849408 34358774112 45811698816 68717548224 137435096448
- Sum of all divisors σ(n): 468490014720
- Sum of proper divisors (its aliquot sum) s(n): 331054918272
- 137435096448 is an abundant number, because the sum of its proper divisors (331054918272) is greater than itself. Its abundance is 193619821824
Bases of 137435096448
- Binary: 11111111111111100010100100101100000002
- Hexadecimal: 0x1FFFC52580
- Base-36: 1R4XB340
Squares and roots of 137435096448
- 137435096448 squared (1374350964482) is 18888405735671062216704
- 137435096448 cubed (1374350964483) is 2595929864030908829755322916667392
-
The
square root of 137435096448 is 370722.3980932363 -
The
cube root of 137435096448 is 5160.5883446683
Scales and comparisons
How big is 137435096448?- 137,435,096,448 seconds is equal to 4,370 years, 3 days, 23 hours, 40 minutes, 48 seconds.
-
To count from 1 to 137,435,096,448 would take you about eight thousand, seven hundred forty 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 137435096448 cubic inches would be around 430 feet tall.
Recreational maths with 137435096448
- 137435096448 backwards is 844690534731
- The number of decimal digits it has is: 12
- The sum of 137435096448's digits is 54
- More coming soon!
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The information we have on file for 137435096448 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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