136981152
136,981,152 is an even composite number composed of six prime numbers multiplied together.
136981152 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 136981152:
25 × 33 × 7 × 11 × 29 × 71
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 29 × 71)See below for interesting mathematical facts about the number 136981152 from the Numbermatics database.
Names of 136981152
- Cardinal: 136981152 can be written as One hundred thirty-six million, nine hundred eighty-one thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 1.36981152 × 108
Factors of 136981152
Divisors of 136981152
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 29 32 33 36 42 44 48 54 56 58 63 66 71 72 77 84 87 88 96 99 108 112 116 126 132 142 144 154 168 174 176 189 198 203 213 216 224 231 232 252 261 264 284 288 297 308 319 336 348 352 378 396 406 426 432 462 464 497 504 522 528 568 594 609 616 638 639 672 693 696 756 781 783 792 812 852 864 924 928 957 994 1008 1044 1056 1136 1188 1218 1232 1276 1278 1386 1392 1491 1512 1562 1566 1584 1624 1704 1827 1848 1914 1917 1988 2016 2059 2079 2088 2233 2272 2343 2376 2436 2464 2552 2556 2772 2784 2871 2982 3024 3124 3132 3168 3248 3408 3654 3696 3828 3834 3976 4118 4158 4176 4466 4473 4686 4752 4872 5104 5112 5467 5481 5544 5742 5964 6048 6177 6248 6264 6496 6699 6816 7029 7308 7392 7656 7668 7952 8236 8316 8352 8613 8932 8946 9372 9504 9744 10208 10224 10934 10962 11088 11484 11928 12354 12496 12528 13398 13419 14058 14413 14616 15312 15336 15904 16401 16472 16632 17226 17864 17892 18531 18744 19488 20097 20448 21087 21868 21924 22176 22649 22968 23856 24708 24992 25056 26796 26838 28116 28826 29232 30624 30672 32802 32944 33264 34452 35728 35784 37062 37488 40194 42174 43239 43736 43848 45298 45936 47712 49203 49416 53592 53676 55593 56232 57652 58464 60291 61344 65604 65888 66528 67947 68904 71456 71568 74124 74976 80388 84348 86478 87472 87696 90596 91872 98406 98832 107184 107352 111186 112464 115304 120582 129717 131208 135894 137808 143136 147609 148248 158543 160776 168696 172956 174944 175392 181192 196812 197664 203841 214368 214704 222372 224928 230608 241164 259434 262416 271788 275616 295218 296496 317086 321552 337392 345912 362384 389151 393624 407682 429408 444744 461216 475629 482328 518868 524832 543576 590436 592992 611523 634172 643104 674784 691824 724768 778302 787248 815364 889488 951258 964656 1037736 1087152 1180872 1223046 1268344 1383648 1426887 1556604 1574496 1630728 1778976 1902516 1929312 2075472 2174304 2361744 2446092 2536688 2853774 3113208 3261456 3805032 4150944 4280661 4723488 4892184 5073376 5707548 6226416 6522912 7610064 8561322 9784368 11415096 12452832 15220128 17122644 19568736 22830192 34245288 45660384 68490576 136981152
- Sum of all divisors σ(n): 522547200
- Sum of proper divisors (its aliquot sum) s(n): 385566048
- 136981152 is an abundant number, because the sum of its proper divisors (385566048) is greater than itself. Its abundance is 248584896
Bases of 136981152
- Binary: 10000010101000101010101000002
- Hexadecimal: 0x82A2AA0
- Base-36: 29JZC0
Squares and roots of 136981152
- 136981152 squared (1369811522) is 18763836003247104
- 136981152 cubed (1369811523) is 2570291871663864046583808
-
The
square root of 136981152 is 11703.8947363687 -
The
cube root of 136981152 is 515.4900315833
Scales and comparisons
How big is 136981152?- 136,981,152 seconds is equal to 4 years, 18 weeks, 3 days, 10 hours, 19 minutes, 12 seconds.
-
To count from 1 to 136,981,152 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 136981152 cubic inches would be around 43 feet tall.
Recreational maths with 136981152
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