136401408
136,401,408 is an even composite number composed of five prime numbers multiplied together.
136401408 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred divisors.
Prime factorization of 136401408:
29 × 34 × 11 × 13 × 23
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 13 × 23)See below for interesting mathematical facts about the number 136401408 from the Numbermatics database.
Names of 136401408
- Cardinal: 136401408 can be written as One hundred thirty-six million, four hundred one thousand, four hundred eight.
Scientific notation
- Scientific notation: 1.36401408 × 108
Factors of 136401408
Divisors of 136401408
- Number of divisors d(n): 400
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 23 24 26 27 32 33 36 39 44 46 48 52 54 64 66 69 72 78 81 88 92 96 99 104 108 117 128 132 138 143 144 156 162 176 184 192 198 207 208 216 234 253 256 264 276 286 288 297 299 312 324 351 352 368 384 396 414 416 429 432 468 506 512 528 552 572 576 594 598 621 624 648 702 704 736 759 768 792 828 832 858 864 891 897 936 1012 1053 1056 1104 1144 1152 1188 1196 1242 1248 1287 1296 1404 1408 1472 1518 1536 1584 1656 1664 1716 1728 1782 1794 1863 1872 2024 2106 2112 2208 2277 2288 2304 2376 2392 2484 2496 2574 2592 2691 2808 2816 2944 3036 3168 3289 3312 3328 3432 3456 3564 3588 3726 3744 3861 4048 4212 4224 4416 4554 4576 4608 4752 4784 4968 4992 5148 5184 5382 5616 5632 5888 6072 6336 6578 6624 6656 6831 6864 6912 7128 7176 7452 7488 7722 8073 8096 8424 8448 8832 9108 9152 9504 9568 9867 9936 9984 10296 10368 10764 11232 11583 11776 12144 12672 13156 13248 13662 13728 13824 14256 14352 14904 14976 15444 16146 16192 16848 16896 17664 18216 18304 19008 19136 19734 19872 19968 20493 20592 20736 21528 22464 23166 24219 24288 25344 26312 26496 27324 27456 28512 28704 29601 29808 29952 30888 32292 32384 33696 35328 36432 36608 38016 38272 39468 39744 40986 41184 41472 43056 44928 46332 48438 48576 50688 52624 52992 54648 54912 57024 57408 59202 59616 59904 61776 64584 64768 67392 72864 73216 76032 76544 78936 79488 81972 82368 86112 88803 89856 92664 96876 97152 105248 105984 109296 109824 114048 114816 118404 119232 123552 129168 129536 134784 145728 152064 153088 157872 158976 163944 164736 172224 177606 179712 185328 193752 194304 210496 218592 219648 228096 229632 236808 238464 247104 258336 266409 269568 291456 315744 317952 327888 329472 344448 355212 370656 387504 388608 420992 437184 456192 459264 473616 476928 494208 516672 532818 539136 582912 631488 655776 658944 688896 710424 741312 775008 841984 874368 947232 953856 988416 1033344 1065636 1165824 1262976 1311552 1377792 1420848 1482624 1550016 1683968 1748736 1894464 1976832 2066688 2131272 2525952 2623104 2841696 2965248 3100032 3497472 3788928 4133376 4262544 5051904 5246208 5683392 5930496 6200064 7577856 8525088 10492416 11366784 12400128 15155712 17050176 22733568 34100352 45467136 68200704 136401408
- Sum of all divisors σ(n): 499093056
- Sum of proper divisors (its aliquot sum) s(n): 362691648
- 136401408 is an abundant number, because the sum of its proper divisors (362691648) is greater than itself. Its abundance is 226290240
Bases of 136401408
- Binary: 10000010000101010010000000002
- Hexadecimal: 0x8215200
- Base-36: 297K00
Squares and roots of 136401408
- 136401408 squared (1364014082) is 18605344104382464
- 136401408 cubed (1364014083) is 2537795132162267060109312
-
The
square root of 136401408 is 11679.1013352913 -
The
cube root of 136401408 is 514.7617687227
Scales and comparisons
How big is 136401408?- 136,401,408 seconds is equal to 4 years, 17 weeks, 3 days, 17 hours, 16 minutes, 48 seconds.
-
To count from 1 to 136,401,408 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 136401408 cubic inches would be around 42.9 feet tall.
Recreational maths with 136401408
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