135122124392448
135,122,124,392,448 is an even composite number composed of six prime numbers multiplied together.
135122124392448 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 135122124392448:
211 × 3 × 31 × 37 × 73 × 262657
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 31 × 37 × 73 × 262657)See below for interesting mathematical facts about the number 135122124392448 from the Numbermatics database.
Names of 135122124392448
- Cardinal: 135122124392448 can be written as One hundred thirty-five trillion, one hundred twenty-two billion, one hundred twenty-four million, three hundred ninety-two thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 1.35122124392448 × 1014
Factors of 135122124392448
Divisors of 135122124392448
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 8 12 16 24 31 32 37 48 62 64 73 74 93 96 111 124 128 146 148 186 192 219 222 248 256 292 296 372 384 438 444 496 512 584 592 744 768 876 888 992 1024 1147 1168 1184 1488 1536 1752 1776 1984 2048 2263 2294 2336 2368 2701 2976 3072 3441 3504 3552 3968 4526 4588 4672 4736 5402 5952 6144 6789 6882 7008 7104 7936 8103 9052 9176 9344 9472 10804 11904 13578 13764 14016 14208 15872 16206 18104 18352 18688 18944 21608 23808 27156 27528 28032 28416 31744 32412 36208 36704 37376 37888 43216 47616 54312 55056 56064 56832 63488 64824 72416 73408 74752 75776 83731 86432 95232 108624 110112 112128 113664 129648 144832 146816 149504 167462 172864 190464 217248 220224 224256 227328 251193 259296 262657 289664 293632 334924 345728 434496 440448 448512 502386 518592 525314 579328 587264 669848 691456 787971 868992 880896 1004772 1037184 1050628 1158656 1174528 1339696 1382912 1575942 1737984 1761792 2009544 2074368 2101256 2317312 2349056 2679392 2765824 3151884 3475968 3523584 4019088 4148736 4202512 4634624 5358784 5531648 6303768 6951936 7047168 8038176 8142367 8297472 8405024 9718309 10717568 12607536 13903872 16076352 16284734 16594944 16810048 19173961 19436618 21435136 24427101 25215072 29154927 32152704 32569468 33620096 38347922 38873236 42870272 48854202 50430144 57521883 58309854 64305408 65138936 67240192 76695844 77746472 85740544 97708404 100860288 115043766 116619708 128610816 130277872 134480384 153391688 155492944 171481088 195416808 201720576 230087532 233239416 257221632 260555744 268960768 301267579 306783376 310985888 390833616 403441152 460175064 466478832 514443264 521111488 537921536 594392791 602535158 613566752 621971776 709436557 781667232 806882304 903802737 920350128 932957664 1042222976 1188785582 1205070316 1227133504 1243943552 1418873114 1563334464 1613764608 1783178373 1807605474 1840700256 1865915328 2084445952 2128309671 2377571164 2410140632 2454267008 2487887104 2837746228 3126668928 3566356746 3615210948 3681400512 3731830656 4168891904 4256619342 4755142328 4820281264 4908534016 4975774208 5675492456 6253337856 7132713492 7230421896 7362801024 7463661312 8337783808 8513238684 9510284656 9640562528 9817068032 9951548416 11350984912 12506675712 14265426984 14460843792 14725602048 14927322624 16675567616 17026477368 19020569312 19281125056 19634136064 19903096832 21992533267 22701969824 25013351424 28530853968 28921687584 29451204096 29854645248 34052954736 38041138624 38562250112 39268272128 43985066534 45403939648 50026702848 57061707936 57843375168 58902408192 59709290496 65977599801 68105909472 76082277248 77124500224 87970133068 90807879296 114123415872 115686750336 117804816384 131955199602 136211818944 152164554496 154249000448 175940266136 181615758592 228246831744 231373500672 263910399204 272423637888 304329108992 308498000896 351880532272 363231517184 456493663488 462747001344 527820798408 544847275776 608658217984 616996001792 703761064544 726463034368 912987326976 925494002688 1055641596816 1089694551552 1217316435968 1407522129088 1452926068736 1825974653952 1850988005376 2111283193632 2179389103104 2815044258176 3651949307904 4222566387264 4358778206208 5630088516352 8445132774528 11260177032704 16890265549056 22520354065408 33780531098112 45040708130816 67561062196224 135122124392448
- Sum of all divisors σ(n): 387141586191360
- Sum of proper divisors (its aliquot sum) s(n): 252019461798912
- 135122124392448 is an abundant number, because the sum of its proper divisors (252019461798912) is greater than itself. Its abundance is 116897337406464
Bases of 135122124392448
- Binary: 111101011100100100100100011100111001000000000002
- Hexadecimal: 0x7AE49239C800
- Base-36: 1BWA8W42YO
Squares and roots of 135122124392448
- 135122124392448 squared (1351221243924482) is 18257988500328190793119432704
- 135122124392448 cubed (1351221243924483) is 2467058193297230908020340153017678421819392
-
The
square root of 135122124392448 is 11624204.2477086575 -
The
cube root of 135122124392448 is 51314.7426102511
Scales and comparisons
How big is 135122124392448?- 135,122,124,392,448 seconds is equal to 4,296,465 years, 30 weeks, 6 days, 18 hours, 20 minutes, 48 seconds.
-
To count from 1 to 135,122,124,392,448 would take you about ten million, seven hundred forty-one thousand, one hundred sixty-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 135122124392448 cubic inches would be around 4276.2 feet tall.
Recreational maths with 135122124392448
- 135122124392448 backwards is 844293421221531
- The number of decimal digits it has is: 15
- The sum of 135122124392448's digits is 51
- More coming soon!
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