135742174352928
135,742,174,352,928 is an even composite number composed of seven prime numbers multiplied together.
135742174352928 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 135742174352928:
25 × 32 × 11 × 13 × 37 × 4561 × 19531
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 13 × 37 × 4561 × 19531)See below for interesting mathematical facts about the number 135742174352928 from the Numbermatics database.
Names of 135742174352928
- Cardinal: 135742174352928 can be written as One hundred thirty-five trillion, seven hundred forty-two billion, one hundred seventy-four million, three hundred fifty-two thousand, nine hundred twenty-eight.
Scientific notation
- Scientific notation: 1.35742174352928 × 1014
Factors of 135742174352928
Divisors of 135742174352928
- Number of divisors d(n): 576
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 37 39 44 48 52 66 72 74 78 88 96 99 104 111 117 132 143 144 148 156 176 198 208 222 234 264 286 288 296 312 333 352 396 407 416 429 444 468 481 528 572 592 624 666 792 814 858 888 936 962 1056 1144 1184 1221 1248 1287 1332 1443 1584 1628 1716 1776 1872 1924 2288 2442 2574 2664 2886 3168 3256 3432 3552 3663 3744 3848 4329 4561 4576 4884 5148 5291 5328 5772 6512 6864 7326 7696 8658 9122 9768 10296 10582 10656 11544 13024 13683 13728 14652 15392 15873 17316 18244 19531 19536 20592 21164 23088 27366 29304 31746 34632 36488 39062 39072 41049 41184 42328 46176 47619 50171 54732 58593 58608 59293 63492 69264 72976 78124 82098 84656 95238 100342 109464 117186 117216 118586 126984 138528 145952 150513 156248 164196 168757 169312 175779 177879 190476 200684 214841 218928 234372 237172 253903 253968 301026 312496 328392 337514 351558 355758 380952 401368 429682 437856 451539 468744 474344 506271 507806 507936 533637 602052 624992 644523 652223 656784 675028 703116 711516 722647 761709 761904 802736 859364 903078 937488 948688 1012542 1015612 1067274 1204104 1289046 1304446 1313568 1350056 1406232 1423032 1445294 1518813 1523418 1523808 1605472 1718728 1806156 1856327 1874976 1897376 1933569 1956669 2025084 2031224 2134548 2167941 2193841 2285127 2408208 2578092 2608892 2700112 2792933 2812464 2846064 2890588 3037626 3046836 3437456 3612312 3712654 3867138 3913338 4050168 4062448 4269096 4335882 4387682 4570254 4816416 5156184 5217784 5400224 5568981 5585866 5624928 5692128 5781176 5870007 6075252 6093672 6503823 6581523 6874912 7224624 7425308 7734276 7826676 7949117 8100336 8124896 8378799 8538192 8671764 8775364 9140508 9394411 10312368 10435568 11137962 11171732 11562352 11740014 12150504 12187344 13007646 13163046 14449248 14850616 15468552 15653352 15898234 16200672 16706943 16757598 17076384 17343528 17550728 18281016 18788822 19744569 20624736 20871136 22275924 22343464 23124704 23480028 23847351 24132251 24301008 24374688 25136397 26015292 26326092 28183233 29701232 30937104 31306704 31796468 33413886 33515196 34687056 35101456 36562032 37577644 39489138 44551848 44686928 46960056 47694702 48264502 48602016 50272794 52030584 52652184 56366466 59402464 61874208 62613408 63592936 66827772 67030392 69374112 70202912 71542053 72396753 73124064 75155288 78978276 84549699 89080891 89103696 89373856 93920112 95389404 96529004 100545588 103338521 104061168 105304368 112732932 127185872 133655544 134060784 143084106 144793506 150310576 157956552 169099398 178161782 178207392 187840224 190778808 193058008 201091176 206677042 208122336 210608736 217190259 225465864 254371744 267242673 267311088 268121568 286168212 289587012 300621152 310015563 315913104 338198796 356323564 381557616 386116016 402182352 413354084 434380518 450931728 534485346 534622176 572336424 579174024 620031126 631826208 676397592 712647128 763115232 772232032 801728019 804364704 826708168 868761036 901863456 930046689 979889801 1068970692 1144672848 1158051583 1158348048 1240062252 1352795184 1425294256 1603456038 1653416336 1737522072 1860093378 1959779602 2137941384 2289345696 2316103166 2316696096 2480124504 2705590368 2850588512 2939669403 3206912076 3295992967 3306832672 3474154749 3475044144 3720186756 3919559204 4275882768 4632206332 4960249008 5879338806 6413824152 6591985934 6948309498 6950088288 7440373512 7839118408 8551765536 8819008209 9264412664 9887978901 9920498016 10422464247 11758677612 12738567413 12827648304 13183971868 13896618996 14880747024 15678236816 17638016418 18528825328 19775957802 20844928494 23517355224 25477134826 25655296608 26367943736 27793237992 29663936703 29761494048 31356473632 35276032836 36255922637 37057650656 38215702239 39551915604 41689856988 42847908571 47034710448 50954269652 52735887472 55586475984 59327873406 70552065672 72511845274 76431404478 79103831208 83379713976 85695817142 94069420896 101908539304 105471774944 108767767911 111172951968 114647106717 118655746812 128543725713 141104131344 145023690548 152862808956 158207662416 166759427952 171391634284 203817078608 217535535822 229294213434 237311493624 257087451426 282208262688 290047381096 305725617912 316415324832 326303303733 333518855904 342783268568 385631177139 407634157216 435071071644 458588426868 471326994281 474622987248 514174902852 580094762192 611451235824 652606607466 685566537136 771262354278 870142143288 917176853736 942653988562 949245974496 1028349805704 1160189524384 1222902471648 1305213214932 1371133074272 1413980982843 1542524708556 1740284286576 1834353707472 1885307977124 2056699611408 2610426429864 2827961965686 3085049417112 3480568573152 3668707414944 3770615954248 4113399222816 4241942948529 5220852859728 5655923931372 6170098834224 7541231908496 8483885897058 10441705719456 11311847862744 12340197668448 15082463816992 16967771794116 22623695725488 33935543588232 45247391450976 67871087176464 135742174352928
- Sum of all divisors σ(n): 465885052424064
- Sum of proper divisors (its aliquot sum) s(n): 330142878071136
- 135742174352928 is an abundant number, because the sum of its proper divisors (330142878071136) is greater than itself. Its abundance is 194400703718208
Bases of 135742174352928
- Binary: 111101101110100111100000001010101010110001000002
- Hexadecimal: 0x7B74F0155620
- Base-36: 1C473DUMG0
Squares and roots of 135742174352928
- 135742174352928 squared (1357421743529282) is 18425937898060704095502173184
- 135742174352928 cubed (1357421743529283) is 2501176874774779768380936784738052993482752
-
The
square root of 135742174352928 is 11650844.3622309195 -
The
cube root of 135742174352928 is 51393.1140821871
Scales and comparisons
How big is 135742174352928?- 135,742,174,352,928 seconds is equal to 4,316,181 years, 13 weeks, 5 days, 22 hours, 28 minutes, 48 seconds.
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To count from 1 to 135,742,174,352,928 would take you about ten million, seven hundred ninety thousand, four hundred fifty-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 135742174352928 cubic inches would be around 4282.8 feet tall.
Recreational maths with 135742174352928
- 135742174352928 backwards is 829253471247531
- The number of decimal digits it has is: 15
- The sum of 135742174352928's digits is 63
- More coming soon!
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Numbermatics. (2024). Number 135742174352928 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/135742174352928/
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The information we have on file for 135742174352928 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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