242529984
242,529,984 is an even composite number composed of five prime numbers multiplied together.
242529984 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 242529984:
26 × 33 × 19 × 83 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 19 × 83 × 89)See below for interesting mathematical facts about the number 242529984 from the Numbermatics database.
Names of 242529984
- Cardinal: 242529984 can be written as Two hundred forty-two million, five hundred twenty-nine thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 2.42529984 × 108
Factors of 242529984
Divisors of 242529984
- Number of divisors d(n): 224
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 83 89 96 108 114 144 152 166 171 178 192 216 228 249 267 288 304 332 342 356 432 456 498 513 534 576 608 664 684 712 747 801 864 912 996 1026 1068 1216 1328 1368 1424 1494 1577 1602 1691 1728 1824 1992 2052 2136 2241 2403 2656 2736 2848 2988 3154 3204 3382 3648 3984 4104 4272 4482 4731 4806 5073 5312 5472 5696 5976 6308 6408 6764 7387 7968 8208 8544 8964 9462 9612 10146 10944 11952 12616 12816 13528 14193 14774 15219 15936 16416 17088 17928 18924 19224 20292 22161 23904 25232 25632 27056 28386 29548 30438 32832 35856 37848 38448 40584 42579 44322 45657 47808 50464 51264 54112 56772 59096 60876 66483 71712 75696 76896 81168 85158 88644 91314 100928 108224 113544 118192 121752 132966 140353 143424 151392 153792 162336 170316 177288 182628 199449 227088 236384 243504 265932 280706 302784 324672 340632 354576 365256 398898 421059 454176 472768 487008 531864 561412 681264 709152 730512 797796 842118 908352 974016 1063728 1122824 1263177 1362528 1418304 1461024 1595592 1684236 2127456 2245648 2526354 2725056 2922048 3191184 3368472 3789531 4254912 4491296 5052708 6382368 6736944 7579062 8982592 10105416 12764736 13473888 15158124 20210832 26947776 30316248 40421664 60632496 80843328 121264992 242529984
- Sum of all divisors σ(n): 768096000
- Sum of proper divisors (its aliquot sum) s(n): 525566016
- 242529984 is an abundant number, because the sum of its proper divisors (525566016) is greater than itself. Its abundance is 283036032
Bases of 242529984
- Binary: 11100111010010110110110000002
- Hexadecimal: 0xE74B6C0
- Base-36: 40E9C0
Squares and roots of 242529984
- 242529984 squared (2425299842) is 58820793139040256
- 242529984 cubed (2425299843) is 14265806018878743063035904
-
The
square root of 242529984 is 15573.3742008597 -
The
cube root of 242529984 is 623.6225527997
Scales and comparisons
How big is 242529984?- 242,529,984 seconds is equal to 7 years, 37 weeks, 1 hour, 26 minutes, 24 seconds.
-
To count from 1 to 242,529,984 would take you about eleven 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 242529984 cubic inches would be around 52 feet tall.
Recreational maths with 242529984
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