135053427916800
135,053,427,916,800 is an even composite number composed of five prime numbers multiplied together.
135053427916800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred forty divisors.
Prime factorization of 135053427916800:
214 × 32 × 52 × 37 × 990151
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 37 × 990151)See below for interesting mathematical facts about the number 135053427916800 from the Numbermatics database.
Names of 135053427916800
- Cardinal: 135053427916800 can be written as One hundred thirty-five trillion, fifty-three billion, four hundred twenty-seven million, nine hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 1.350534279168 × 1014
Factors of 135053427916800
Divisors of 135053427916800
- Number of divisors d(n): 540
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 37 40 45 48 50 60 64 72 74 75 80 90 96 100 111 120 128 144 148 150 160 180 185 192 200 222 225 240 256 288 296 300 320 333 360 370 384 400 444 450 480 512 555 576 592 600 640 666 720 740 768 800 888 900 925 960 1024 1110 1152 1184 1200 1280 1332 1440 1480 1536 1600 1665 1776 1800 1850 1920 2048 2220 2304 2368 2400 2560 2664 2775 2880 2960 3072 3200 3330 3552 3600 3700 3840 4096 4440 4608 4736 4800 5120 5328 5550 5760 5920 6144 6400 6660 7104 7200 7400 7680 8192 8325 8880 9216 9472 9600 10240 10656 11100 11520 11840 12288 12800 13320 14208 14400 14800 15360 16384 16650 17760 18432 18944 19200 20480 21312 22200 23040 23680 24576 25600 26640 28416 28800 29600 30720 33300 35520 36864 37888 38400 40960 42624 44400 46080 47360 49152 51200 53280 56832 57600 59200 61440 66600 71040 73728 75776 76800 81920 85248 88800 92160 94720 102400 106560 113664 115200 118400 122880 133200 142080 147456 151552 153600 170496 177600 184320 189440 204800 213120 227328 230400 236800 245760 266400 284160 303104 307200 340992 355200 368640 378880 409600 426240 454656 460800 473600 532800 568320 606208 614400 681984 710400 737280 757760 852480 909312 921600 947200 990151 1065600 1136640 1228800 1363968 1420800 1515520 1704960 1818624 1843200 1894400 1980302 2131200 2273280 2727936 2841600 2970453 3031040 3409920 3686400 3788800 3960604 4262400 4546560 4950755 5455872 5683200 5940906 6819840 7577600 7921208 8524800 8911359 9093120 9901510 11366400 11881812 13639680 14852265 15155200 15842416 17049600 17822718 19803020 22732800 23763624 24753775 27279360 29704530 31684832 34099200 35645436 36635587 39606040 44556795 45465600 47527248 49507550 59409060 63369664 68198400 71290872 73271174 74261325 79212080 89113590 95054496 99015100 109906761 118818120 126739328 136396800 142581744 146542348 148522650 158424160 178227180 183177935 190108992 198030200 219813522 222783975 237636240 253478656 285163488 293084696 297045300 316848320 329720283 356454360 366355870 380217984 396060400 439627044 445567950 475272480 506957312 549533805 570326976 586169392 594090600 633696640 659440566 712908720 732711740 760435968 792120800 879254088 891135900 915889675 950544960 1013914624 1099067610 1140653952 1172338784 1188181200 1267393280 1318881132 1425817440 1465423480 1520871936 1584241600 1648601415 1758508176 1782271800 1831779350 1901089920 2027829248 2198135220 2281307904 2344677568 2376362400 2534786560 2637762264 2747669025 2851634880 2930846960 3041743872 3168483200 3297202830 3517016352 3564543600 3663558700 3802179840 4055658496 4396270440 4562615808 4689355136 4752724800 5069573120 5275524528 5495338050 5703269760 5861693920 6083487744 6336966400 6594405660 7034032704 7129087200 7327117400 7604359680 8111316992 8243007075 8792540880 9125231616 9378710272 9505449600 10139146240 10551049056 10990676100 11406539520 11723387840 12166975488 12673932800 13188811320 14068065408 14258174400 14654234800 15208719360 16222633984 16486014150 17585081760 18250463232 18757420544 19010899200 20278292480 21102098112 21981352200 22813079040 23446775680 24333950976 25347865600 26377622640 28136130816 28516348800 29308469600 30417438720 32972028300 35170163520 36500926464 37514841088 38021798400 40556584960 42204196224 43962704400 45626158080 46893551360 48667901952 50695731200 52755245280 56272261632 57032697600 58616939200 60834877440 65944056600 70340327040 73001852928 75029682176 76043596800 81113169920 84408392448 87925408800 91252316160 93787102720 101391462400 105510490560 112544523264 114065395200 117233878400 121669754880 131888113200 140680654080 146003705856 150059364352 152087193600 168816784896 175850817600 182504632320 187574205440 202782924800 211020981120 225089046528 228130790400 234467756800 243339509760 263776226400 281361308160 300118728704 304174387200 337633569792 351701635200 365009264640 375148410880 405565849600 422041962240 450178093056 456261580800 468935513600 527552452800 562722616320 600237457408 608348774400 675267139584 703403270400 730018529280 750296821760 844083924480 900356186112 912523161600 937871027200 1055104905600 1125445232640 1216697548800 1350534279168 1406806540800 1500593643520 1688167848960 1800712372224 1825046323200 1875742054400 2110209811200 2250890465280 2701068558336 2813613081600 3001187287040 3376335697920 3650092646400 3751484108800 4220419622400 4501780930560 5402137116672 5627226163200 6752671395840 7502968217600 8440839244800 9003561861120 11254452326400 13505342791680 15005936435200 16881678489600 22508904652800 27010685583360 33763356979200 45017809305600 67526713958400 135053427916800
- Sum of all divisors σ(n): 496852172283376
- Sum of proper divisors (its aliquot sum) s(n): 361798744366576
- 135053427916800 is an abundant number, because the sum of its proper divisors (361798744366576) is greater than itself. Its abundance is 226745316449776
Bases of 135053427916800
- Binary: 111101011010100100100111001100011000000000000002
- Hexadecimal: 0x7AD49398C000
- Base-36: 1BVEOS0740
Squares and roots of 135053427916800
- 135053427916800 squared (1350534279168002) is 18239428392078293587722240000
- 135053427916800 cubed (1350534279168003) is 2463297327593181151191393197340229632000000
-
The
square root of 135053427916800 is 11621248.9826524241 -
The
cube root of 135053427916800 is 51306.0449486651
Scales and comparisons
How big is 135053427916800?- 135,053,427,916,800 seconds is equal to 4,294,281 years, 13 weeks, 3 days, 16 hours.
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To count from 1 to 135,053,427,916,800 would take you about ten million, seven hundred thirty-five thousand, seven hundred three 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 135053427916800 cubic inches would be around 4275.5 feet tall.
Recreational maths with 135053427916800
- 135053427916800 backwards is 008619724350531
- The number of decimal digits it has is: 15
- The sum of 135053427916800's digits is 54
- More coming soon!
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