135793152
135,793,152 is an even composite number composed of five prime numbers multiplied together.
135793152 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 135793152:
29 × 33 × 11 × 19 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 19 × 47)See below for interesting mathematical facts about the number 135793152 from the Numbermatics database.
Names of 135793152
- Cardinal: 135793152 can be written as One hundred thirty-five million, seven hundred ninety-three thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 1.35793152 × 108
Factors of 135793152
Divisors of 135793152
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 32 33 36 38 44 47 48 54 57 64 66 72 76 88 94 96 99 108 114 128 132 141 144 152 171 176 188 192 198 209 216 228 256 264 282 288 297 304 342 352 376 384 396 418 423 432 456 512 513 517 528 564 576 594 608 627 684 704 752 768 792 836 846 864 893 912 1026 1034 1056 1128 1152 1188 1216 1254 1269 1368 1408 1504 1536 1551 1584 1672 1692 1728 1786 1824 1881 2052 2068 2112 2256 2304 2376 2432 2508 2538 2679 2736 2816 3008 3102 3168 3344 3384 3456 3572 3648 3762 4104 4136 4224 4512 4608 4653 4752 4864 5016 5076 5358 5472 5632 5643 6016 6204 6336 6688 6768 6912 7144 7296 7524 8037 8208 8272 8448 9024 9306 9504 9728 9823 10032 10152 10716 10944 11286 12032 12408 12672 13376 13536 13824 13959 14288 14592 15048 16074 16416 16544 16896 18048 18612 19008 19646 20064 20304 21432 21888 22572 24064 24111 24816 25344 26752 27072 27918 28576 29184 29469 30096 32148 32832 33088 36096 37224 38016 39292 40128 40608 42864 43776 45144 48222 49632 50688 53504 54144 55836 57152 58938 60192 64296 65664 66176 72192 74448 76032 78584 80256 81216 85728 87552 88407 90288 96444 99264 107008 108288 111672 114304 117876 120384 128592 131328 132352 148896 152064 157168 160512 162432 171456 176814 180576 192888 198528 216576 223344 228608 235752 240768 257184 262656 264704 265221 297792 314336 321024 324864 342912 353628 361152 385776 397056 446688 457216 471504 481536 514368 530442 595584 628672 649728 685824 707256 722304 771552 794112 893376 943008 963072 1028736 1060884 1191168 1257344 1371648 1414512 1444608 1543104 1786752 1886016 2057472 2121768 2382336 2514688 2829024 2889216 3086208 3573504 3772032 4114944 4243536 5029376 5658048 6172416 7147008 7544064 8487072 11316096 12344832 15088128 16974144 22632192 33948288 45264384 67896576 135793152
- Sum of all divisors σ(n): 471398400
- Sum of proper divisors (its aliquot sum) s(n): 335605248
- 135793152 is an abundant number, because the sum of its proper divisors (335605248) is greater than itself. Its abundance is 199812096
Bases of 135793152
- Binary: 10000001100000001010000000002
- Hexadecimal: 0x8180A00
- Base-36: 28UIO0
Squares and roots of 135793152
- 135793152 squared (1357931522) is 18439780130095104
- 135793152 cubed (1357931523) is 2503995866052584231927808
-
The
square root of 135793152 is 11653.0318801589 -
The
cube root of 135793152 is 513.9954679711
Scales and comparisons
How big is 135793152?- 135,793,152 seconds is equal to 4 years, 16 weeks, 3 days, 16 hours, 19 minutes, 12 seconds.
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To count from 1 to 135,793,152 would take you about six 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 135793152 cubic inches would be around 42.8 feet tall.
Recreational maths with 135793152
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