135485400960
135,485,400,960 is an even composite number composed of seven prime numbers multiplied together.
135485400960 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 135485400960:
27 × 32 × 5 × 7 × 13 × 53 × 4877
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 53 × 4877)See below for interesting mathematical facts about the number 135485400960 from the Numbermatics database.
Names of 135485400960
- Cardinal: 135485400960 can be written as One hundred thirty-five billion, four hundred eighty-five million, four hundred thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3548540096 × 1011
Factors of 135485400960
Divisors of 135485400960
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 39 40 42 45 48 52 53 56 60 63 64 65 70 72 78 80 84 90 91 96 104 105 106 112 117 120 126 128 130 140 144 156 159 160 168 180 182 192 195 208 210 212 224 234 240 252 260 265 273 280 288 312 315 318 320 336 360 364 371 384 390 416 420 424 448 455 468 477 480 504 520 530 546 560 576 585 624 630 636 640 672 689 720 728 742 780 795 819 832 840 848 896 910 936 954 960 1008 1040 1060 1092 1113 1120 1152 1170 1248 1260 1272 1344 1365 1378 1440 1456 1484 1560 1590 1638 1664 1680 1696 1820 1855 1872 1908 1920 2016 2067 2080 2120 2184 2226 2240 2340 2385 2496 2520 2544 2688 2730 2756 2880 2912 2968 3120 3180 3276 3339 3360 3392 3445 3640 3710 3744 3816 4032 4095 4134 4160 4240 4368 4452 4480 4680 4770 4823 4877 4992 5040 5088 5460 5512 5565 5760 5824 5936 6201 6240 6360 6552 6678 6720 6784 6890 7280 7420 7488 7632 8064 8190 8268 8320 8480 8736 8904 9360 9540 9646 9754 10080 10176 10335 10920 11024 11130 11648 11872 12402 12480 12720 13104 13356 13440 13780 14469 14560 14631 14840 14976 15264 16380 16536 16695 16960 17472 17808 18720 19080 19292 19508 20160 20352 20670 21840 22048 22260 23744 24115 24385 24804 24960 25440 26208 26712 27560 28938 29120 29262 29680 30528 31005 32760 33072 33390 33920 34139 34944 35616 37440 38160 38584 39016 40320 41340 43407 43680 43893 44096 44520 47488 48230 48770 49608 50880 52416 53424 55120 57876 58240 58524 59360 61056 62010 63401 65520 66144 66780 68278 71232 72345 73155 74880 76320 77168 78032 82680 86814 87360 87786 88192 89040 96460 97540 99216 101760 102417 104832 106848 110240 115752 117048 118720 124020 126802 131040 132288 133560 136556 142464 144690 146310 152640 154336 156064 165360 170695 173628 174720 175572 178080 190203 192920 195080 198432 204834 213696 217035 219465 220480 231504 234096 237440 248040 253604 258481 262080 264576 267120 273112 289380 292620 305280 307251 308672 312128 317005 330720 341390 347256 351144 356160 380406 385840 390160 396864 409668 427392 434070 438930 440960 443807 463008 468192 496080 507208 512085 516962 524160 534240 546224 570609 578760 585240 614502 617344 624256 634010 661440 682780 694512 702288 712320 760812 771680 775443 780320 793728 819336 868140 877860 887614 926016 936384 951015 992160 1014416 1024170 1033924 1068480 1092448 1141218 1157520 1170480 1229004 1268020 1292405 1322880 1331421 1365560 1389024 1404576 1521624 1536255 1543360 1550886 1560640 1638672 1736280 1755720 1775228 1809367 1852032 1872768 1902030 1984320 2028832 2048340 2067848 2136960 2184896 2219035 2282436 2315040 2326329 2340960 2458008 2536040 2584810 2662842 2731120 2778048 2809152 2853045 3043248 3072510 3086720 3101772 3121280 3277344 3360253 3472560 3511440 3550456 3618734 3804060 3877215 3968640 3994263 4057664 4096680 4135696 4369792 4438070 4564872 4630080 4652658 4681920 4916016 5072080 5169620 5325684 5428101 5462240 5556096 5618304 5706090 6086496 6145020 6203544 6554688 6657105 6720506 6945120 7022880 7100912 7237468 7608120 7754430 7988526 8115328 8193360 8271392 8876140 9046835 9129744 9260160 9305316 9363840 9832032 10080759 10144160 10339240 10651368 10856202 10924480 11412180 11631645 12172992 12290040 12407088 13109376 13314210 13441012 13890240 14045760 14201824 14474936 15216240 15508860 15977052 16284303 16386720 16542784 16801265 17752280 18093670 18259488 18610632 19664064 19971315 20161518 20288320 20678480 21302736 21712404 21848960 22824360 23263290 23521771 24345984 24580080 24814176 26628420 26882024 27140505 27780480 28091520 28403648 28949872 30242277 30432480 31017720 31954104 32568606 32773440 33085568 33602530 35504560 36187340 36518976 37221264 39328128 39942630 40323036 40576640 41356960 42605472 43424808 45648720 46526580 47043542 49160160 49628352 50403795 53256840 53764048 54281010 56807296 57899744 60484554 60864960 62035440 63908208 65137212 65546880 67205060 70565313 71009120 72374680 73037952 74442528 79885260 80646072 81421515 82713920 85210944 86849616 91297440 93053160 94087084 98320320 99256704 100807590 106513680 107528096 108562020 115799488 117608855 120969108 121729920 124070880 127816416 130274424 134410120 141130626 142018240 144749360 148885056 151211385 159770520 161292144 162843030 165427840 170421888 173699232 182594880 186106320 188174168 196640640 201615180 211695939 213027360 215056192 217124040 231598976 235217710 241938216 248141760 255632832 260548848 268820240 282261252 284036480 289498720 297770112 302422770 319541040 322584288 325686060 347398464 352826565 365189760 372212640 376348336 403230360 423391878 426054720 430112384 434248080 470435420 483876432 496283520 511265664 521097696 537640480 564522504 578997440 604845540 639082080 645168576 651372120 694796928 705653130 744425280 752696672 806460720 846783756 852109440 868496160 940870840 967752864 1042195392 1058479695 1075280960 1129045008 1157994880 1209691080 1278164160 1290337152 1302744240 1411306260 1488850560 1505393344 1612921440 1693567512 1736992320 1881741680 1935505728 2084390784 2116959390 2150561920 2258090016 2419382160 2556328320 2605488480 2822612520 3010786688 3225842880 3387135024 3473984640 3763483360 3871011456 4233918780 4516180032 4838764320 5210976960 5645225040 6451685760 6774270048 7526966720 8467837560 9032360064 9677528640 10421953920 11290450080 13548540096 15053933440 16935675120 19355057280 22580900160 27097080192 33871350240 45161800320 67742700480 135485400960
- Sum of all divisors σ(n): 586797644160
- Sum of proper divisors (its aliquot sum) s(n): 451312243200
- 135485400960 is an abundant number, because the sum of its proper divisors (451312243200) is greater than itself. Its abundance is 315826842240
Bases of 135485400960
- Binary: 11111100010111000111100100111100000002
- Hexadecimal: 0x1F8B8F2780
- Base-36: 1Q8OICG0
Squares and roots of 135485400960
- 135485400960 squared (1354854009602) is 18356293873291968921600
- 135485400960 cubed (1354854009603) is 2487009835562553844490834804736000
-
The
square root of 135485400960 is 368083.4157633295 -
The
cube root of 135485400960 is 5136.0688114925
Scales and comparisons
How big is 135485400960?- 135,485,400,960 seconds is equal to 4,308 years, 6 days, 1 hour, 36 minutes.
-
To count from 1 to 135,485,400,960 would take you about eight thousand, six hundred sixteen 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 135485400960 cubic inches would be around 428 feet tall.
Recreational maths with 135485400960
- 135485400960 backwards is 069004584531
- 135485400960 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135485400960's digits is 45
- More coming soon!
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