135978900960
135,978,900,960 is an even composite number composed of eight prime numbers multiplied together.
135978900960 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 135978900960:
25 × 3 × 5 × 7 × 17 × 31 × 41 × 1873
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 17 × 31 × 41 × 1873)See below for interesting mathematical facts about the number 135978900960 from the Numbermatics database.
Names of 135978900960
- Cardinal: 135978900960 can be written as One hundred thirty-five billion, nine hundred seventy-eight million, nine hundred thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3597890096 × 1011
Factors of 135978900960
Divisors of 135978900960
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 31 32 34 35 40 41 42 48 51 56 60 62 68 70 80 82 84 85 93 96 102 105 112 119 120 123 124 136 140 155 160 164 168 170 186 204 205 210 217 224 238 240 246 248 255 272 280 287 310 328 336 340 357 372 408 410 420 434 465 476 480 492 496 510 527 544 560 574 595 615 620 651 656 672 680 697 714 744 816 820 840 861 868 930 952 984 992 1020 1054 1085 1120 1148 1190 1230 1240 1271 1302 1312 1360 1394 1428 1435 1488 1581 1632 1640 1680 1722 1736 1785 1860 1873 1904 1968 2040 2091 2108 2170 2296 2380 2460 2480 2542 2604 2635 2720 2788 2856 2870 2976 3162 3255 3280 3360 3444 3472 3485 3570 3689 3720 3746 3808 3813 3936 4080 4182 4216 4305 4340 4592 4760 4879 4920 4960 5084 5208 5270 5576 5619 5712 5740 6324 6355 6510 6560 6888 6944 6970 7140 7378 7440 7492 7626 7905 8160 8364 8432 8610 8680 8897 9184 9365 9520 9758 9840 10168 10416 10455 10540 11067 11152 11238 11424 11480 12648 12710 13020 13111 13776 13940 14280 14637 14756 14880 14984 15252 15810 16728 16864 17220 17360 17794 18445 18730 19040 19065 19516 19680 20336 20832 20910 21080 21607 22134 22304 22476 22960 24395 25296 25420 26040 26222 26691 27552 27880 28095 28560 29274 29512 29968 30504 31620 31841 33456 34440 34720 35588 36890 37460 38130 39032 39333 40672 41820 42160 43214 44268 44485 44952 45920 48790 50592 50840 52080 52444 53382 55335 55760 56190 57120 58063 58548 59024 59936 61008 63240 63682 64821 65555 66912 68880 71176 73185 73780 74920 76260 76793 78064 78666 83640 84320 86428 88536 88970 89904 95523 97580 101680 104160 104888 106764 108035 110670 111520 112380 116126 117096 118048 122016 126480 127364 129642 131110 133455 137760 142352 146370 147560 149840 151249 152520 153586 156128 157332 159205 167280 172856 174189 177072 177940 179808 191046 195160 196665 203360 209776 213528 216070 221340 222887 224760 230379 232252 234192 252960 254728 259284 262220 266910 284704 290315 292740 295120 299680 302498 305040 307172 314664 318410 324105 334560 345712 348378 354144 355880 382092 383965 390320 393330 406441 419552 427056 432140 442680 445774 449520 453747 460758 464504 468384 477615 509456 518568 524440 533820 537551 580630 585480 590240 604996 610080 614344 629328 636820 648210 668661 691424 696756 711760 756245 764184 767930 780640 786660 812882 854112 864280 870945 885360 891548 899040 907494 921516 929008 955230 987071 1018912 1037136 1048880 1067640 1075102 1114435 1151895 1161260 1170960 1209992 1219323 1228688 1258656 1273640 1296420 1305481 1337322 1393512 1423520 1512490 1528368 1535860 1573320 1612653 1625764 1728560 1741890 1770720 1783096 1814988 1843032 1858016 1910460 1974142 2032205 2074272 2097760 2135280 2150204 2228870 2268735 2303790 2322520 2341920 2380583 2419984 2438646 2457376 2547280 2592840 2610962 2674644 2687755 2787024 2961213 3024980 3056736 3071720 3146640 3225306 3251528 3343305 3457120 3483780 3566192 3629976 3686064 3820920 3916443 3948284 4064410 4270560 4300408 4457740 4537470 4607580 4645040 4761166 4839968 4877292 4935355 5094560 5185680 5221924 5349288 5375510 5574048 5922426 6049960 6096615 6143440 6293280 6450612 6503056 6527405 6686610 6909497 6967560 7132384 7141749 7259952 7372128 7641840 7832886 7896568 8063265 8128820 8600816 8915480 9074940 9138367 9215160 9290080 9522332 9754584 9870710 10371360 10443848 10698576 10751020 11844852 11902915 12099920 12193230 12286880 12901224 13006112 13054810 13373220 13818994 13935120 14283498 14519904 14806065 15283680 15665772 15793136 16126530 16257640 16664081 17201632 17830960 18149880 18276734 18430320 19044664 19509168 19582215 19741420 20728491 20887696 21397152 21502040 23689704 23805830 24199840 24386460 25802448 26109620 26746440 27415101 27637988 27870240 28566996 29612130 31331544 31586272 32253060 32515280 33328162 34547485 35661920 35708745 36299760 36553468 36860640 38089328 39018336 39164430 39482840 40469911 41456982 41775392 43004080 45691835 47379408 47611660 48772920 49992243 51604896 52219240 53492880 54830202 55275976 57133992 59224260 62663088 64506120 65030560 66656324 69094970 71417490 72599520 73106936 76178656 78328860 78965680 80939822 82913964 83320405 86008160 91383670 94758816 95223320 97545840 99984486 103642455 104438480 106985760 109660404 110551952 114267984 118448520 121409733 125326176 129012240 133312648 137075505 138189940 142834980 146213872 156657720 157931360 161879644 165827928 166640810 182767340 190446640 195091680 199968972 202349555 207284910 208876960 219320808 221103904 228535968 236897040 242819466 249961215 258024480 266625296 274151010 276379880 283289377 285669960 292427744 313315440 323759288 331655856 333281620 365534680 380893280 399937944 404699110 414569820 438641616 473794080 485638932 499922430 533250592 548302020 552759760 566578754 571339920 607048665 626630880 647518576 663311712 666563240 731069360 799875888 809398220 829139640 849868131 877283232 971277864 999844860 1096604040 1105519520 1133157508 1142679840 1214097330 1295037152 1333126480 1416446885 1462138720 1599751776 1618796440 1658279280 1699736262 1942555728 1999689720 2193208080 2266315016 2428194660 2666252960 2832893770 3237592880 3316558560 3399472524 3885111456 3999379440 4249340655 4386416160 4532630032 4856389320 5665787540 6475185760 6798945048 7998758880 8498681310 9065260064 9712778640 11331575080 13597890096 16997362620 19425557280 22663150160 27195780192 33994725240 45326300320 67989450480 135978900960
- Sum of all divisors σ(n): 548381933568
- Sum of proper divisors (its aliquot sum) s(n): 412403032608
- 135978900960 is an abundant number, because the sum of its proper divisors (412403032608) is greater than itself. Its abundance is 276424131648
Bases of 135978900960
- Binary: 11111101010001111100101011101111000002
- Hexadecimal: 0x1FA8F95DE0
- Base-36: 1QGUBRHC
Squares and roots of 135978900960
- 135978900960 squared (1359789009602) is 18490261506289488921600
- 135978900960 cubed (1359789009603) is 2514285438088238831159263604736000
-
The
square root of 135978900960 is 368753.1707795879 -
The
cube root of 135978900960 is 5142.2972284787
Scales and comparisons
How big is 135978900960?- 135,978,900,960 seconds is equal to 4,323 years, 36 weeks, 5 days, 20 hours, 56 minutes.
-
To count from 1 to 135,978,900,960 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 135978900960 cubic inches would be around 428.5 feet tall.
Recreational maths with 135978900960
- 135978900960 backwards is 069009879531
- The number of decimal digits it has is: 12
- The sum of 135978900960's digits is 57
- More coming soon!
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