152629120
152,629,120 is an even composite number composed of five prime numbers multiplied together.
152629120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 152629120:
27 × 5 × 72 × 31 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 31 × 157)See below for interesting mathematical facts about the number 152629120 from the Numbermatics database.
Names of 152629120
- Cardinal: 152629120 can be written as One hundred fifty-two million, six hundred twenty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.5262912 × 108
Factors of 152629120
Divisors of 152629120
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 49 56 62 64 70 80 98 112 124 128 140 155 157 160 196 217 224 245 248 280 310 314 320 392 434 448 490 496 560 620 628 640 784 785 868 896 980 992 1085 1099 1120 1240 1256 1519 1568 1570 1736 1960 1984 2170 2198 2240 2480 2512 3038 3136 3140 3472 3920 3968 4340 4396 4480 4867 4960 5024 5495 6076 6272 6280 6944 7595 7693 7840 8680 8792 9734 9920 10048 10990 12152 12560 13888 15190 15386 15680 17360 17584 19468 19840 20096 21980 24304 24335 25120 27776 30380 30772 31360 34069 34720 35168 38465 38936 43960 48608 48670 50240 60760 61544 68138 69440 70336 76930 77872 87920 97216 97340 100480 121520 123088 136276 138880 140672 153860 155744 170345 175840 194432 194680 238483 243040 246176 272552 307720 311488 340690 351680 389360 476966 486080 492352 545104 615440 622976 681380 703360 778720 953932 972160 984704 1090208 1192415 1230880 1362760 1557440 1907864 2180416 2384830 2461760 2725520 3114880 3815728 4360832 4769660 4923520 5451040 7631456 9539320 10902080 15262912 19078640 21804160 30525824 38157280 76314560 152629120
- Sum of all divisors σ(n): 440933760
- Sum of proper divisors (its aliquot sum) s(n): 288304640
- 152629120 is an abundant number, because the sum of its proper divisors (288304640) is greater than itself. Its abundance is 135675520
Bases of 152629120
- Binary: 10010001100011101111100000002
- Hexadecimal: 0x918EF80
- Base-36: 2IVDDS
Squares and roots of 152629120
- 152629120 squared (1526291202) is 23295648271974400
- 152629120 cubed (1526291203) is 3555594295580973334528000
-
The
square root of 152629120 is 12354.3158450803 -
The
cube root of 152629120 is 534.4156078485
Scales and comparisons
How big is 152629120?- 152,629,120 seconds is equal to 4 years, 44 weeks, 2 days, 12 hours, 58 minutes, 40 seconds.
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To count from 1 to 152,629,120 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 152629120 cubic inches would be around 44.5 feet tall.
Recreational maths with 152629120
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