149052960
149,052,960 is an even composite number composed of six prime numbers multiplied together.
149052960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 149052960:
25 × 34 × 5 × 7 × 31 × 53
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 31 × 53)See below for interesting mathematical facts about the number 149052960 from the Numbermatics database.
Names of 149052960
- Cardinal: 149052960 can be written as One hundred forty-nine million, fifty-two thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.4905296 × 108
Factors of 149052960
Divisors of 149052960
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 31 32 35 36 40 42 45 48 53 54 56 60 62 63 70 72 80 81 84 90 93 96 105 106 108 112 120 124 126 135 140 144 155 159 160 162 168 180 186 189 210 212 216 217 224 240 248 252 265 270 279 280 288 310 315 318 324 336 360 371 372 378 405 420 424 432 434 465 477 480 496 504 530 540 558 560 567 620 630 636 648 651 672 720 742 744 756 795 810 837 840 848 864 868 930 945 954 992 1008 1060 1080 1085 1113 1116 1120 1134 1240 1260 1272 1296 1302 1395 1431 1440 1484 1488 1512 1590 1620 1643 1674 1680 1696 1736 1855 1860 1890 1908 1953 2016 2120 2160 2170 2226 2232 2268 2385 2480 2511 2520 2544 2592 2604 2790 2835 2862 2968 2976 3024 3180 3240 3255 3286 3339 3348 3360 3472 3710 3720 3780 3816 3906 4185 4240 4293 4320 4340 4452 4464 4536 4770 4929 4960 5022 5040 5088 5208 5565 5580 5670 5724 5859 5936 6048 6360 6480 6510 6572 6678 6696 6944 7155 7420 7440 7560 7632 7812 8215 8370 8480 8586 8680 8904 8928 9072 9540 9765 9858 10017 10044 10080 10416 11130 11160 11340 11448 11501 11718 11872 12555 12720 12960 13020 13144 13356 13392 14310 14787 14840 14880 15120 15264 15624 16430 16695 16740 17172 17360 17577 17808 18144 19080 19530 19716 20034 20088 20832 21465 22260 22320 22680 22896 23002 23436 24645 25110 25440 26040 26288 26712 26784 28620 29295 29574 29680 30051 30240 31248 32860 33390 33480 34344 34503 34720 35154 35616 38160 39060 39432 40068 40176 42930 44361 44520 44640 45360 45792 46004 46872 49290 50085 50220 52080 52576 53424 57240 57505 58590 59148 59360 60102 62496 65720 66780 66960 68688 69006 70308 73935 76320 78120 78864 80136 80352 85860 87885 88722 89040 90720 92008 93744 98580 100170 100440 103509 104160 106848 114480 115010 117180 118296 120204 131440 133083 133560 133920 137376 138012 140616 147870 150255 156240 157728 160272 171720 172515 175770 177444 178080 184016 187488 197160 200340 200880 207018 221805 228960 230020 234360 236592 240408 262880 266166 267120 276024 281232 295740 300510 310527 312480 320544 343440 345030 351540 354888 368032 394320 400680 401760 414036 443610 460040 468720 473184 480816 517545 532332 534240 552048 562464 591480 601020 621054 665415 686880 690060 703080 709776 788640 801360 828072 887220 920080 931581 937440 961632 1035090 1064664 1104096 1182960 1202040 1242108 1330830 1380120 1406160 1419552 1552635 1602720 1656144 1774440 1840160 1863162 2070180 2129328 2365920 2404080 2484216 2661660 2760240 2812320 3105270 3312288 3548880 3726324 4140360 4258656 4657905 4808160 4968432 5323320 5520480 6210540 7097760 7452648 8280720 9315810 9936864 10646640 12421080 14905296 16561440 18631620 21293280 24842160 29810592 37263240 49684320 74526480 149052960
- Sum of all divisors σ(n): 632282112
- Sum of proper divisors (its aliquot sum) s(n): 483229152
- 149052960 is an abundant number, because the sum of its proper divisors (483229152) is greater than itself. Its abundance is 334176192
Bases of 149052960
- Binary: 10001110001001011110001000002
- Hexadecimal: 0x8E25E20
- Base-36: 2GQQ00
Squares and roots of 149052960
- 149052960 squared (1490529602) is 22216784884761600
- 149052960 cubed (1490529603) is 3311477548756975374336000
-
The
square root of 149052960 is 12208.7247491293 -
The
cube root of 149052960 is 530.2087228223
Scales and comparisons
How big is 149052960?- 149,052,960 seconds is equal to 4 years, 38 weeks, 3 days, 3 hours, 36 minutes.
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To count from 1 to 149,052,960 would take you about seven 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 149052960 cubic inches would be around 44.2 feet tall.
Recreational maths with 149052960
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