135983678688
135,983,678,688 is an even composite number composed of six prime numbers multiplied together.
135983678688 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 135983678688:
25 × 35 × 11 × 132 × 23 × 409
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 11 × 13 × 13 × 23 × 409)See below for interesting mathematical facts about the number 135983678688 from the Numbermatics database.
Names of 135983678688
- Cardinal: 135983678688 can be written as One hundred thirty-five billion, nine hundred eighty-three million, six hundred seventy-eight thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 1.35983678688 × 1011
Factors of 135983678688
Divisors of 135983678688
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 23 24 26 27 32 33 36 39 44 46 48 52 54 66 69 72 78 81 88 92 96 99 104 108 117 132 138 143 144 156 162 169 176 184 198 207 208 216 234 243 253 264 276 286 288 297 299 312 324 338 351 352 368 396 409 414 416 429 432 468 486 506 507 528 552 572 594 598 621 624 648 676 702 736 759 792 818 828 858 864 891 897 936 972 1012 1014 1053 1056 1104 1144 1188 1196 1227 1242 1248 1287 1296 1352 1404 1518 1521 1584 1636 1656 1716 1782 1794 1859 1863 1872 1944 2024 2028 2106 2208 2277 2288 2376 2392 2454 2484 2574 2592 2673 2691 2704 2808 3036 3042 3159 3168 3272 3289 3312 3432 3564 3588 3681 3718 3726 3744 3861 3887 3888 4048 4056 4212 4499 4554 4563 4576 4752 4784 4908 4968 5148 5317 5346 5382 5408 5577 5589 5616 6072 6084 6318 6544 6578 6624 6831 6864 7128 7176 7362 7436 7452 7722 7774 7776 8073 8096 8112 8424 8998 9108 9126 9407 9504 9568 9816 9867 9936 10296 10634 10692 10764 11043 11154 11178 11232 11583 11661 12144 12168 12636 13088 13156 13497 13662 13689 13728 14256 14352 14724 14872 14904 15444 15548 15951 16146 16224 16731 16848 17996 18216 18252 18814 19632 19734 19872 20493 20592 21268 21384 21528 22086 22308 22356 23166 23322 24219 24288 24336 25272 26312 26994 27324 27378 28221 28512 28704 29448 29601 29744 29808 30888 31096 31902 32292 33129 33462 33696 34749 34983 35992 36432 36504 37628 39264 39468 40491 40986 41067 41184 42536 42757 42768 43056 44172 44616 44712 46332 46644 47853 48438 48672 50193 50544 52624 53988 54648 54756 56442 58487 58896 59202 59488 59616 61479 61776 62192 63804 64584 66258 66924 69121 69498 69966 71984 72657 72864 73008 75256 78936 80982 81972 82134 84663 85072 85514 85536 86112 88344 88803 89232 89424 92664 93288 95706 96876 99387 100386 101088 103477 104949 105248 107976 109296 109512 112884 116974 117792 118404 121473 122291 122958 123552 124384 127608 128271 129168 132516 133848 138242 138996 139932 143559 143968 145314 146016 150512 150579 157872 161964 163944 164268 169326 170144 171028 175461 176688 177606 178464 178848 185328 186576 191412 193752 198774 200772 206954 207363 209898 215952 218592 219024 225768 233948 236808 242946 244582 245916 253989 255216 256542 258336 265032 266409 267696 276484 277992 279864 287118 290628 301024 301158 310431 314847 315744 323928 327888 328536 338652 342056 350922 353376 355212 364419 366873 370656 373152 382824 384813 387504 397548 401544 413908 414726 419796 430677 431904 438048 451536 451737 467896 473616 485892 489164 491832 507978 510432 513084 526383 530064 532818 535392 552968 555984 559728 574236 581256 602316 620862 622089 629694 647856 655776 657072 677304 684112 701844 710424 728838 733746 760331 761967 765648 769626 775008 795096 799227 803088 827816 829452 839592 861354 903072 903474 931293 935792 944541 947232 971784 978328 983664 1015956 1026168 1052766 1060128 1065636 1093257 1100619 1105936 1111968 1119456 1148472 1154439 1162512 1204632 1241724 1244178 1259388 1292031 1295712 1314144 1345201 1354608 1368224 1403688 1420848 1457676 1467492 1520662 1523934 1531296 1539252 1579149 1589783 1590192 1598454 1606176 1655632 1658904 1679184 1722708 1806948 1862586 1866267 1871584 1889082 1943568 1956656 1967328 2031912 2052336 2105532 2131272 2186514 2201238 2211872 2280993 2285901 2296944 2308878 2325024 2409264 2483448 2488356 2518776 2584062 2690402 2709216 2793879 2807376 2841696 2915352 2934984 3041324 3047868 3078504 3158298 3179566 3180384 3196908 3301857 3311264 3317808 3358368 3445416 3463317 3613896 3725172 3732534 3778164 3887136 3913312 4035603 4063824 4104672 4211064 4262544 4373028 4402476 4561986 4571802 4593888 4617756 4737447 4769349 4818528 4966896 4976712 5037552 5168124 5380804 5587758 5598801 5614752 5830704 5869968 6082648 6095736 6157008 6316596 6359132 6393816 6603714 6635616 6842979 6890832 6926634 7227792 7450344 7465068 7556328 8071206 8127648 8381637 8422128 8525088 8746056 8804952 9123972 9143604 9235512 9474894 9538698 9905571 9933792 9953424 10075104 10336248 10389951 10761608 11175516 11197602 11661408 11739936 12106809 12165296 12191472 12314016 12633192 12718264 12787632 13207428 13685958 13781664 13853268 14212341 14308047 14455584 14900688 14930136 15112656 16142412 16763274 16796403 16844256 17487613 17492112 17609904 18247944 18287208 18471024 18949788 19077396 19811142 19906848 20528937 20672496 20779902 21523216 22351032 22395204 24213618 24330592 24382944 25144911 25266384 25436528 25575264 26414856 27371916 27706536 28424682 28616094 29716713 29801376 29860272 30225312 32284824 33526548 33592806 34975226 34984224 35219808 36320427 36495888 36574416 36942048 37899576 38154792 39622284 41057874 41344992 41559804 42924141 43046432 44702064 44790408 48427236 50289822 50532768 50873056 52462839 52829712 54743832 55413072 56849364 57232188 59433426 59720544 61586811 64569648 67053096 67185612 69950452 72640854 72991776 73148832 75799152 76309584 79244568 82115748 83119608 85848282 89404128 89580816 96854472 100579644 104925678 105659424 108961281 109487664 110826144 113698728 114464376 118866852 123173622 128772423 129139296 134106192 134371224 139900904 145281708 151598304 152619168 157388517 158489136 164231496 166239216 171696564 179161632 184760433 193708944 201159288 209851356 217922562 218975328 227397456 228928752 237733704 246347244 257544846 268212384 268742448 279801808 290563416 314777034 316978272 326883843 328462992 332478432 343393128 369520866 386317269 387417888 402318576 419702712 435845124 454794912 457857504 472165551 475467408 492694488 515089692 537484896 559603616 581126832 629554068 653767686 656925984 686786256 739041732 772634538 804637152 839405424 871690248 944331102 950934816 985388976 1030179384 1162253664 1259108136 1307535372 1373572512 1416496653 1478083464 1545269076 1678810848 1743380496 1888662204 1970777952 2060358768 2518216272 2615070744 2832993306 2956166928 3090538152 3486760992 3777324408 4120717536 4249489959 5036432544 5230141488 5665986612 5912333856 6181076304 7554648816 8498979918 10460282976 11331973224 12362152608 15109297632 16997959836 22663946448 33995919672 45327892896 67991839344 135983678688
- Sum of all divisors σ(n): 495529332480
- Sum of proper divisors (its aliquot sum) s(n): 359545653792
- 135983678688 is an abundant number, because the sum of its proper divisors (359545653792) is greater than itself. Its abundance is 223561975104
Bases of 135983678688
- Binary: 11111101010010100001001000100111000002
- Hexadecimal: 0x1FA94244E0
- Base-36: 1QGX6600
Squares and roots of 135983678688
- 135983678688 squared (1359836786882) is 18491560869521225401344
- 135983678688 cubed (1359836786883) is 2514550471720568207372386339356672
-
The
square root of 135983678688 is 368759.6489422343 -
The
cube root of 135983678688 is 5142.3574540223
Scales and comparisons
How big is 135983678688?- 135,983,678,688 seconds is equal to 4,323 years, 44 weeks, 5 days, 4 hours, 4 minutes, 48 seconds.
-
To count from 1 to 135,983,678,688 would take you about eight thousand, six hundred forty-seven 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 135983678688 cubic inches would be around 428.5 feet tall.
Recreational maths with 135983678688
- 135983678688 backwards is 886876389531
- 135983678688 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135983678688's digits is 72
- More coming soon!
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