138386976
138,386,976 is an even composite number composed of six prime numbers multiplied together.
138386976 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138386976:
25 × 3 × 72 × 13 × 31 × 73
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 13 × 31 × 73)See below for interesting mathematical facts about the number 138386976 from the Numbermatics database.
Names of 138386976
- Cardinal: 138386976 can be written as One hundred thirty-eight million, three hundred eighty-six thousand, nine hundred seventy-six.
Scientific notation
- Scientific notation: 1.38386976 × 108
Factors of 138386976
Divisors of 138386976
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 31 32 39 42 48 49 52 56 62 73 78 84 91 93 96 98 104 112 124 146 147 156 168 182 186 196 208 217 219 224 248 273 292 294 312 336 364 372 392 403 416 434 438 496 511 546 584 588 624 637 651 672 728 744 784 806 868 876 949 992 1022 1092 1168 1176 1209 1248 1274 1302 1456 1488 1519 1533 1568 1612 1736 1752 1898 1911 2044 2184 2263 2336 2352 2418 2548 2604 2821 2847 2912 2976 3038 3066 3224 3472 3504 3577 3796 3822 4088 4368 4526 4557 4704 4836 5096 5208 5642 5694 6076 6132 6448 6643 6789 6944 7008 7154 7592 7644 8176 8463 8736 9052 9114 9672 10192 10416 10731 11284 11388 12152 12264 12896 13286 13578 14308 15184 15288 15841 16352 16926 18104 18228 19344 19747 19929 20384 20832 21462 22568 22776 24304 24528 26572 27156 28616 29419 30368 30576 31682 33852 36208 36456 38688 39494 39858 42924 45136 45552 46501 47523 48608 49056 53144 54312 57232 58838 59241 61152 63364 67704 72416 72912 78988 79716 85848 88257 90272 91104 93002 95046 106288 108624 110887 114464 117676 118482 126728 135408 139503 145824 157976 159432 171696 176514 186004 190092 205933 212576 217248 221774 235352 236964 253456 270816 279006 315952 318864 332661 343392 353028 372008 380184 411866 443548 470704 473928 506912 558012 617799 631904 637728 665322 706056 744016 760368 823732 887096 941408 947856 1116024 1235598 1330644 1412112 1441531 1488032 1520736 1647464 1774192 1895712 2232048 2471196 2661288 2824224 2883062 3294928 3548384 4324593 4464096 4942392 5322576 5766124 6589856 8649186 9884784 10645152 11532248 17298372 19769568 23064496 34596744 46128992 69193488 138386976
- Sum of all divisors σ(n): 476195328
- Sum of proper divisors (its aliquot sum) s(n): 337808352
- 138386976 is an abundant number, because the sum of its proper divisors (337808352) is greater than itself. Its abundance is 199421376
Bases of 138386976
- Binary: 10000011111110011110001000002
- Hexadecimal: 0x83F9E20
- Base-36: 2AE42O
Squares and roots of 138386976
- 138386976 squared (1383869762) is 19150955126424576
- 138386976 cubed (1383869763) is 2650242767457594764722176
-
The
square root of 138386976 is 11763.7993862527 -
The
cube root of 138386976 is 517.2475073433
Scales and comparisons
How big is 138386976?- 138,386,976 seconds is equal to 4 years, 20 weeks, 5 days, 16 hours, 49 minutes, 36 seconds.
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To count from 1 to 138,386,976 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 138386976 cubic inches would be around 43.1 feet tall.
Recreational maths with 138386976
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