214079040
214,079,040 is an even composite number composed of six prime numbers multiplied together.
214079040 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 214079040:
26 × 32 × 5 × 72 × 37 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 37 × 41)See below for interesting mathematical facts about the number 214079040 from the Numbermatics database.
Names of 214079040
- Cardinal: 214079040 can be written as Two hundred fourteen million, seventy-nine thousand and forty.
Scientific notation
- Scientific notation: 2.1407904 × 108
Factors of 214079040
Divisors of 214079040
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 37 40 41 42 45 48 49 56 60 63 64 70 72 74 80 82 84 90 96 98 105 111 112 120 123 126 140 144 147 148 160 164 168 180 185 192 196 205 210 222 224 240 245 246 252 259 280 287 288 294 296 315 320 328 333 336 360 369 370 392 410 420 441 444 448 480 490 492 504 518 555 560 574 576 588 592 615 630 656 666 672 720 735 738 740 777 784 820 840 861 882 888 960 980 984 1008 1036 1110 1120 1148 1176 1184 1230 1260 1295 1312 1332 1344 1435 1440 1470 1476 1480 1517 1554 1568 1640 1665 1680 1722 1764 1776 1813 1845 1960 1968 2009 2016 2072 2205 2220 2240 2296 2331 2352 2368 2460 2520 2583 2590 2624 2664 2870 2880 2940 2952 2960 3034 3108 3136 3280 3330 3360 3444 3528 3552 3626 3690 3885 3920 3936 4018 4032 4144 4305 4410 4440 4551 4592 4662 4704 4920 5040 5166 5180 5328 5439 5740 5880 5904 5920 6027 6068 6216 6560 6660 6720 6888 7056 7104 7252 7380 7585 7770 7840 7872 8036 8288 8610 8820 8880 9065 9102 9184 9324 9408 9840 10045 10080 10332 10360 10619 10656 10878 11480 11655 11760 11808 11840 12054 12136 12432 12915 13120 13320 13653 13776 14112 14504 14760 15170 15540 15680 16072 16317 16576 17220 17640 17760 18081 18130 18204 18368 18648 19680 20090 20160 20664 20720 21238 21312 21756 22755 22960 23310 23520 23616 24108 24272 24864 25830 26640 27195 27306 27552 28224 29008 29520 30135 30340 31080 31857 32144 32634 34440 35280 35520 36162 36260 36408 37296 39360 40180 41328 41440 42476 43512 45510 45920 46620 47040 48216 48544 49728 51660 53095 53280 54390 54612 55104 58016 59040 60270 60680 62160 63714 64288 65268 68265 68880 70560 72324 72520 72816 74333 74592 80360 81585 82656 82880 84952 87024 90405 91020 91840 93240 95571 96432 97088 103320 106190 106560 108780 109224 116032 118080 120540 121360 124320 127428 128576 130536 136530 137760 141120 144648 145040 145632 148666 149184 159285 160720 163170 165312 169904 174048 180810 182040 186480 191142 192864 206640 212380 217560 218448 222999 241080 242720 248640 254856 261072 273060 275520 289296 290080 291264 297332 318570 321440 326340 339808 348096 361620 364080 371665 372960 382284 385728 413280 424760 435120 436896 445998 477855 482160 485440 509712 522144 546120 578592 580160 594664 637140 642880 652680 668997 679616 723240 728160 743330 745920 764568 826560 849520 870240 873792 891996 955710 964320 1019424 1044288 1092240 1114995 1157184 1189328 1274280 1305360 1337994 1446480 1456320 1486660 1529136 1699040 1740480 1783992 1911420 1928640 2038848 2184480 2229990 2378656 2548560 2610720 2675988 2892960 2973320 3058272 3344985 3398080 3567984 3822840 4368960 4459980 4757312 5097120 5221440 5351976 5785920 5946640 6116544 6689970 7135968 7645680 8919960 10194240 10703952 11893280 13379940 14271936 15291360 17839920 21407904 23786560 26759880 30582720 35679840 42815808 53519760 71359680 107039520 214079040
- Sum of all divisors σ(n): 901168632
- Sum of proper divisors (its aliquot sum) s(n): 687089592
- 214079040 is an abundant number, because the sum of its proper divisors (687089592) is greater than itself. Its abundance is 473010552
Bases of 214079040
- Binary: 11001100001010010110010000002
- Hexadecimal: 0xCC29640
- Base-36: 3JGGG0
Squares and roots of 214079040
- 214079040 squared (2140790402) is 45829835367321600
- 214079040 cubed (2140790403) is 9811207158794255499264000
-
The
square root of 214079040 is 14631.4401205077 -
The
cube root of 214079040 is 598.2160343681
Scales and comparisons
How big is 214079040?- 214,079,040 seconds is equal to 6 years, 41 weeks, 6 days, 18 hours, 24 minutes.
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To count from 1 to 214,079,040 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 214079040 cubic inches would be around 49.9 feet tall.
Recreational maths with 214079040
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