149827920
149,827,920 is an even composite number composed of seven prime numbers multiplied together.
149827920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 149827920:
24 × 3 × 5 × 11 × 19 × 29 × 103
(2 × 2 × 2 × 2 × 3 × 5 × 11 × 19 × 29 × 103)See below for interesting mathematical facts about the number 149827920 from the Numbermatics database.
Names of 149827920
- Cardinal: 149827920 can be written as One hundred forty-nine million, eight hundred twenty-seven thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.4982792 × 108
Factors of 149827920
Divisors of 149827920
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 29 30 33 38 40 44 48 55 57 58 60 66 76 80 87 88 95 103 110 114 116 120 132 145 152 165 174 176 190 206 209 220 228 232 240 264 285 290 304 309 319 330 348 380 412 418 435 440 456 464 515 528 551 570 580 618 627 638 660 696 760 824 836 870 880 912 957 1030 1045 1102 1133 1140 1160 1236 1254 1276 1320 1392 1520 1545 1595 1648 1653 1672 1740 1914 1957 2060 2090 2204 2266 2280 2320 2472 2508 2552 2640 2755 2987 3090 3135 3190 3306 3344 3399 3480 3828 3914 4120 4180 4408 4532 4560 4785 4944 5016 5104 5510 5665 5871 5974 6061 6180 6270 6380 6612 6798 6960 7656 7828 8240 8265 8360 8816 8961 9064 9570 9785 10032 11020 11330 11742 11948 12122 12360 12540 12760 13224 13596 14935 15312 15656 16530 16720 16995 17922 18128 18183 19140 19570 21527 22040 22660 23484 23896 24244 24720 25080 25520 26448 27192 29355 29870 30305 31312 32857 33060 33990 35844 36366 38280 39140 43054 44080 44805 45320 46968 47792 48488 50160 54384 56753 58710 59740 60610 64581 65714 66120 67980 71688 72732 76560 78280 86108 89610 90640 90915 93936 96976 98571 107635 113506 117420 119480 121220 129162 131428 132240 135960 143376 145464 156560 164285 170259 172216 179220 181830 197142 215270 227012 234840 238960 242440 258324 262856 271920 283765 290928 322905 328570 340518 344432 358440 363660 394284 430540 454024 469680 484880 492855 516648 525712 567530 624283 645810 657140 681036 716880 727320 788568 851295 861080 908048 985710 1033296 1135060 1248566 1291620 1314280 1362072 1454640 1577136 1702590 1722160 1872849 1971420 2270120 2497132 2583240 2628560 2724144 3121415 3405180 3745698 3942840 4540240 4994264 5166480 6242830 6810360 7491396 7885680 9364245 9988528 12485660 13620720 14982792 18728490 24971320 29965584 37456980 49942640 74913960 149827920
- Sum of all divisors σ(n): 557107200
- Sum of proper divisors (its aliquot sum) s(n): 407279280
- 149827920 is an abundant number, because the sum of its proper divisors (407279280) is greater than itself. Its abundance is 257451360
Bases of 149827920
- Binary: 10001110111000110001010100002
- Hexadecimal: 0x8EE3150
- Base-36: 2H7BYO
Squares and roots of 149827920
- 149827920 squared (1498279202) is 22448405611526400
- 149827920 cubed (1498279203) is 3363397920091328537088000
-
The
square root of 149827920 is 12240.4215613679 -
The
cube root of 149827920 is 531.1260265271
Scales and comparisons
How big is 149827920?- 149,827,920 seconds is equal to 4 years, 39 weeks, 5 days, 2 hours, 52 minutes.
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To count from 1 to 149,827,920 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 149827920 cubic inches would be around 44.3 feet tall.
Recreational maths with 149827920
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