214129440
214,129,440 is an even composite number composed of six prime numbers multiplied together.
214129440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 214129440:
25 × 33 × 5 × 7 × 73 × 97
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 73 × 97)See below for interesting mathematical facts about the number 214129440 from the Numbermatics database.
Names of 214129440
- Cardinal: 214129440 can be written as Two hundred fourteen million, one hundred twenty-nine thousand, four hundred forty.
Scientific notation
- Scientific notation: 2.1412944 × 108
Factors of 214129440
Divisors of 214129440
- Number of divisors d(n): 384
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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 32 35 36 40 42 45 48 54 56 60 63 70 72 73 80 84 90 96 97 105 108 112 120 126 135 140 144 146 160 168 180 189 194 210 216 219 224 240 252 270 280 288 291 292 315 336 360 365 378 388 420 432 438 480 485 504 511 540 560 582 584 630 657 672 679 720 730 756 776 840 864 873 876 945 970 1008 1022 1080 1095 1120 1164 1168 1260 1314 1358 1440 1455 1460 1512 1533 1552 1680 1746 1752 1890 1940 1971 2016 2037 2044 2160 2190 2328 2336 2520 2555 2619 2628 2716 2910 2920 3024 3066 3104 3285 3360 3395 3492 3504 3780 3880 3942 4074 4088 4320 4365 4380 4599 4656 5040 5110 5238 5256 5432 5820 5840 6048 6111 6132 6570 6790 6984 7008 7081 7560 7665 7760 7884 8148 8176 8730 8760 9198 9312 9855 10080 10185 10220 10476 10512 10864 11640 11680 12222 12264 13095 13140 13580 13797 13968 14162 15120 15330 15520 15768 16296 16352 17460 17520 18333 18396 19710 20370 20440 20952 21024 21243 21728 22995 23280 24444 24528 26190 26280 27160 27594 27936 28324 30240 30555 30660 31536 32592 34920 35040 35405 36666 36792 39420 40740 40880 41904 42486 45990 46560 48888 49056 49567 52380 52560 54320 55188 56648 61110 61320 63072 63729 65184 68985 69840 70810 73332 73584 78840 81480 81760 83808 84972 91665 91980 97776 99134 104760 105120 106215 108640 110376 113296 122220 122640 127458 137970 139680 141620 146664 147168 148701 157680 162960 169944 183330 183960 191187 195552 198268 209520 212430 220752 226592 244440 245280 247835 254916 275940 283240 293328 297402 315360 318645 325920 339888 366660 367920 382374 396536 419040 424860 441504 446103 488880 495670 509832 551880 566480 586656 594804 637290 679776 733320 735840 743505 764748 793072 849720 892206 955935 977760 991340 1019664 1103760 1132960 1189608 1274580 1338309 1466640 1487010 1529496 1586144 1699440 1784412 1911870 1982680 2039328 2207520 2230515 2379216 2549160 2676618 2933280 2974020 3058992 3398880 3568824 3823740 3965360 4461030 4758432 5098320 5353236 5948040 6117984 6691545 7137648 7647480 7930720 8922060 10196640 10706472 11896080 13383090 14275296 15294960 17844120 21412944 23792160 26766180 30589920 35688240 42825888 53532360 71376480 107064720 214129440
- Sum of all divisors σ(n): 877201920
- Sum of proper divisors (its aliquot sum) s(n): 663072480
- 214129440 is an abundant number, because the sum of its proper divisors (663072480) is greater than itself. Its abundance is 448943040
Bases of 214129440
- Binary: 11001100001101011011001000002
- Hexadecimal: 0xCC35B20
- Base-36: 3JHJC0
Squares and roots of 214129440
- 214129440 squared (2141294402) is 45851417074713600
- 214129440 cubed (2141294403) is 9818138261414861328384000
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The
square root of 214129440 is 14633.1623376495 -
The
cube root of 214129440 is 598.2629760995
Scales and comparisons
How big is 214129440?- 214,129,440 seconds is equal to 6 years, 42 weeks, 8 hours, 24 minutes.
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To count from 1 to 214,129,440 would take you about ten 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 214129440 cubic inches would be around 49.9 feet tall.
Recreational maths with 214129440
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