135407976704
135,407,976,704 is an even composite number composed of seven prime numbers multiplied together.
135407976704 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 135407976704:
28 × 72 × 11 × 13 × 19 × 29 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 11 × 13 × 19 × 29 × 137)See below for interesting mathematical facts about the number 135407976704 from the Numbermatics database.
Names of 135407976704
- Cardinal: 135407976704 can be written as One hundred thirty-five billion, four hundred seven million, nine hundred seventy-six thousand, seven hundred four.
Scientific notation
- Scientific notation: 1.35407976704 × 1011
Factors of 135407976704
Divisors of 135407976704
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 19 22 26 28 29 32 38 44 49 52 56 58 64 76 77 88 91 98 104 112 116 128 133 137 143 152 154 176 182 196 203 208 209 224 232 247 256 266 274 286 304 308 319 352 364 377 392 406 416 418 448 464 494 532 539 548 551 572 608 616 637 638 704 728 754 784 812 832 836 896 928 931 959 988 1001 1064 1078 1096 1102 1144 1216 1232 1274 1276 1408 1421 1456 1463 1507 1508 1568 1624 1664 1672 1729 1781 1792 1856 1862 1918 1976 2002 2128 2156 2192 2204 2233 2288 2432 2464 2548 2552 2603 2639 2717 2816 2842 2912 2926 3014 3016 3136 3248 3328 3344 3458 3562 3712 3724 3836 3857 3952 3973 4004 4147 4256 4312 4384 4408 4466 4576 4864 4928 5096 5104 5206 5278 5434 5684 5824 5852 6028 6032 6061 6272 6496 6688 6713 6916 7007 7124 7163 7424 7448 7672 7714 7904 7946 8008 8294 8512 8624 8768 8816 8932 9152 9856 10192 10208 10241 10412 10549 10556 10868 11368 11648 11704 12056 12064 12103 12122 12467 12544 12992 13376 13426 13832 14014 14248 14326 14896 15344 15428 15631 15808 15892 16016 16588 17024 17248 17536 17632 17864 18221 18304 18473 19019 19591 19712 20384 20416 20482 20824 21098 21112 21736 22736 23296 23408 24112 24128 24206 24244 24934 25984 26752 26852 26999 27664 27811 28028 28496 28633 28652 29029 29792 30688 30856 31262 31616 31784 32032 33176 33839 34048 34496 35072 35264 35728 36442 36608 36946 38038 39182 40768 40832 40964 41648 42196 42224 42427 43472 43703 45472 46816 48224 48256 48412 48488 49868 50141 51649 51968 53504 53704 53998 55328 55622 56056 56992 57266 57304 58058 59584 61376 61712 62524 63232 63568 64064 66352 67678 68992 70528 71456 72884 73843 73892 75487 76076 78364 78793 81536 81664 81928 83296 84392 84448 84854 86944 87269 87406 90944 93632 96448 96512 96824 96976 99736 100282 103298 107408 107996 110656 111244 112112 113984 114532 114608 116116 119168 122752 123424 125048 127136 127547 128128 132704 133133 135356 137137 137984 141056 142912 145768 147686 147784 150974 152152 156728 157586 163072 163856 166592 168784 168896 169708 173888 174538 174812 181888 187264 192896 193648 193952 194677 199472 200431 200564 203203 206596 214816 215992 221312 222488 224224 227968 229064 229216 232232 236873 238336 245504 246848 250096 254272 255094 256256 265408 266266 270712 274274 285824 291536 295372 295568 296989 301948 304304 305921 313456 315172 327712 333184 337568 337792 339416 347776 349076 349624 350987 361543 363776 372229 374528 385792 387296 387904 389354 398944 400862 401128 406406 413192 429632 431984 442624 444976 448448 455936 458128 458432 464464 473746 493696 500192 508544 510188 528409 530816 532532 541424 548548 551551 568139 571648 583072 590744 591136 593978 603896 608608 611842 626912 630344 655424 666368 675136 675584 678832 695552 698152 699248 701974 723086 744458 774592 775808 778708 797888 801724 802256 812812 826384 830357 859264 863968 889952 896896 916256 916864 928928 947492 959959 981331 987392 1000384 1017088 1020376 1056818 1061632 1065064 1082848 1097096 1103102 1136278 1166144 1181488 1182272 1187956 1207792 1217216 1223684 1253824 1260688 1310848 1350272 1357664 1396304 1398496 1403017 1403948 1446172 1488916 1549184 1551616 1557416 1595776 1603448 1604512 1625624 1652768 1658111 1660714 1718528 1727936 1779904 1793792 1832512 1833728 1857856 1894984 1919918 1962662 2000768 2040752 2113636 2130128 2141447 2165696 2194192 2206204 2272556 2332288 2362976 2364544 2375912 2415584 2434432 2447368 2507648 2521376 2530801 2605603 2621696 2700544 2715328 2792608 2796992 2806034 2807896 2892344 2977832 3098368 3114832 3191552 3206896 3209024 3251248 3305536 3316222 3321428 3455872 3559808 3665024 3698863 3715712 3789968 3839836 3860857 3925324 3976973 4001536 4081504 4227272 4260256 4282894 4331392 4388384 4412408 4545112 4664576 4725952 4729088 4751824 4831168 4868864 4894736 5015296 5042752 5061602 5211206 5430656 5585216 5593984 5612068 5615792 5784688 5812499 5955664 6229664 6413792 6418048 6502496 6611072 6632444 6642856 6869317 6911744 7119616 7330048 7397726 7431424 7579936 7679672 7721714 7850648 7953946 8163008 8454544 8520512 8565788 8662784 8776768 8824816 9090224 9451904 9503648 9662336 9789472 10085504 10123204 10422412 10794641 10861312 11170432 11187968 11224136 11231584 11569376 11624998 11911328 12459328 12827584 12836096 13004992 13222144 13264888 13285712 13738634 14795452 15159872 15359344 15443428 15701296 15907892 16326016 16909088 17041024 17131576 17553536 17649632 18180448 18239221 18903808 19007296 19324672 19578944 20171008 20246408 20844824 21589282 22340864 22448272 22463168 23138752 23249996 23822656 24918656 25655168 26009984 26529776 26571424 27477268 27838811 29590904 30319744 30718688 30886856 31402592 31815784 32652032 33818176 34082048 34263152 35107072 35299264 36360896 36478442 38014592 39157888 40492816 40687493 41689648 43178564 44896544 44926336 46277504 46499992 47645312 48085219 49837312 51310336 52019968 53059552 53142848 54954536 55677622 59181808 60639488 61437376 61773712 62805184 63631568 67636352 68526304 70598528 72721792 72956884 75562487 76029184 78315776 80985632 81374986 83379296 86357128 89793088 89852672 92555008 92999984 95290624 96170438 106119104 106285696 109909072 111355244 118363616 122874752 123547424 125610368 127263136 135272704 137052608 141197056 145443584 145913768 151124974 161971264 162749972 166758592 172714256 179586176 185999968 192340876 212238208 212571392 219818144 222710488 236727232 245749504 247094848 251220736 254526272 274105216 291827536 302249948 323942528 325499944 333517184 345428512 359172352 371999936 384681752 424476416 439636288 445420976 473454464 494189696 509052544 528937409 548210432 583655072 604499896 647885056 650999888 667034368 690857024 743999872 769363504 879272576 890841952 946908928 988379392 1018105088 1057874818 1167310144 1208999792 1301999776 1381714048 1487999744 1538727008 1758545152 1781683904 2115749636 2334620288 2417999584 2603999552 2763428096 3077454016 3563367808 4231499272 4669240576 4835999168 5207999104 6154908032 7126735616 8462998544 9671998336 10415998208 12309816064 16925997088 19343996672 33851994176 67703988352 135407976704
- Sum of all divisors σ(n): 405168220800
- Sum of proper divisors (its aliquot sum) s(n): 269760244096
- 135407976704 is an abundant number, because the sum of its proper divisors (269760244096) is greater than itself. Its abundance is 134352267392
Bases of 135407976704
- Binary: 11111100001101111000111000001000000002
- Hexadecimal: 0x1F86F1C100
- Base-36: 1Q7EEVI8
Squares and roots of 135407976704
- 135407976704 squared (1354079767042) is 18335320155071006703616
- 135407976704 cubed (1354079767043) is 2482748604418236543189063160561664
-
The
square root of 135407976704 is 367978.2285733765 -
The
cube root of 135407976704 is 5135.0902753655
Scales and comparisons
How big is 135407976704?- 135,407,976,704 seconds is equal to 4,305 years, 28 weeks, 5 days, 22 hours, 51 minutes, 44 seconds.
-
To count from 1 to 135,407,976,704 would take you about eight thousand, six hundred eleven 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 135407976704 cubic inches would be around 427.9 feet tall.
Recreational maths with 135407976704
- 135407976704 backwards is 407679704531
- The number of decimal digits it has is: 12
- The sum of 135407976704's digits is 53
- More coming soon!
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