164391120
164,391,120 is an even composite number composed of five prime numbers multiplied together.
What does the number 164391120 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 200 divisors.
164391120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred divisors.
Prime factorization of 164391120:
24 × 34 × 5 × 23 × 1103
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 23 × 1103)See below for interesting mathematical facts about the number 164391120 from the Numbermatics database.
Names of 164391120
- Cardinal: 164391120 can be written as One hundred sixty-four million, three hundred ninety-one thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.6439112 × 108
Factors of 164391120
Divisors of 164391120
- Number of divisors d(n): 200
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 81 90 92 108 115 120 135 138 144 162 180 184 207 216 230 240 270 276 324 345 360 368 405 414 432 460 540 552 621 648 690 720 810 828 920 1035 1080 1103 1104 1242 1296 1380 1620 1656 1840 1863 2070 2160 2206 2484 2760 3105 3240 3309 3312 3726 4140 4412 4968 5515 5520 6210 6480 6618 7452 8280 8824 9315 9927 9936 11030 12420 13236 14904 16545 16560 17648 18630 19854 22060 24840 25369 26472 29781 29808 33090 37260 39708 44120 49635 49680 50738 52944 59562 66180 74520 76107 79416 88240 89343 99270 101476 119124 126845 132360 148905 149040 152214 158832 178686 198540 202952 228321 238248 253690 264720 297810 304428 357372 380535 397080 405904 446715 456642 476496 507380 595620 608856 684963 714744 761070 794160 893430 913284 1014760 1141605 1191240 1217712 1369926 1429488 1522140 1786860 1826568 2029520 2054889 2283210 2382480 2739852 3044280 3424815 3573720 3653136 4109778 4566420 5479704 6088560 6849630 7147440 8219556 9132840 10274445 10959408 13699260 16439112 18265680 20548890 27398520 32878224 41097780 54797040 82195560 164391120
- Sum of all divisors σ(n): 596318976
- Sum of proper divisors (its aliquot sum) s(n): 431927856
- 164391120 is an abundant number, because the sum of its proper divisors (431927856) is greater than itself. Its abundance is 267536736
Bases of 164391120
- Binary: 10011100110001101000110100002
- Hexadecimal: 0x9CC68D0
- Base-36: 2PVH00
Squares and roots of 164391120
- 164391120 squared (1643911202) is 27024440334854400
- 164391120 cubed (1643911203) is 4442578014019889852928000
-
The
square root of 164391120 is 12821.5100514719 -
The
cube root of 164391120 is 547.8051592123
Scales and comparisons
How big is 164391120?- 164,391,120 seconds is equal to 5 years, 11 weeks, 5 days, 16 hours, 12 minutes.
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To count from 1 to 164,391,120 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 164391120 cubic inches would be around 45.7 feet tall.
Recreational maths with 164391120
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