122330880
122,330,880 is an even composite number composed of six prime numbers multiplied together.
122330880 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 122330880:
28 × 32 × 5 × 7 × 37 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 37 × 41)See below for interesting mathematical facts about the number 122330880 from the Numbermatics database.
Names of 122330880
- Cardinal: 122330880 can be written as One hundred twenty-two million, three hundred thirty thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 1.2233088 × 108
Factors of 122330880
Divisors of 122330880
- Number of divisors d(n): 432
-
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 56 60 63 64 70 72 74 80 82 84 90 96 105 111 112 120 123 126 128 140 144 148 160 164 168 180 185 192 205 210 222 224 240 246 252 256 259 280 287 288 296 315 320 328 333 336 360 369 370 384 410 420 444 448 480 492 504 518 555 560 574 576 592 615 630 640 656 666 672 720 738 740 768 777 820 840 861 888 896 960 984 1008 1036 1110 1120 1148 1152 1184 1230 1260 1280 1295 1312 1332 1344 1435 1440 1476 1480 1517 1554 1640 1665 1680 1722 1776 1792 1845 1920 1968 2016 2072 2220 2240 2296 2304 2331 2368 2460 2520 2583 2590 2624 2664 2688 2870 2880 2952 2960 3034 3108 3280 3330 3360 3444 3552 3690 3840 3885 3936 4032 4144 4305 4440 4480 4551 4592 4662 4736 4920 5040 5166 5180 5248 5328 5376 5740 5760 5904 5920 6068 6216 6560 6660 6720 6888 7104 7380 7585 7770 7872 8064 8288 8610 8880 8960 9102 9184 9324 9472 9840 10080 10332 10360 10496 10619 10656 11480 11520 11655 11808 11840 12136 12432 12915 13120 13320 13440 13653 13776 14208 14760 15170 15540 15744 16128 16576 17220 17760 18204 18368 18648 19680 20160 20664 20720 21238 21312 22755 22960 23310 23616 23680 24272 24864 25830 26240 26640 26880 27306 27552 28416 29520 30340 31080 31488 31857 33152 34440 35520 36408 36736 37296 39360 40320 41328 41440 42476 42624 45510 45920 46620 47232 47360 48544 49728 51660 52480 53095 53280 54612 55104 59040 60680 62160 63714 66304 68265 68880 71040 72816 73472 74592 78720 80640 82656 82880 84952 85248 91020 91840 93240 94464 95571 97088 99456 103320 106190 106560 109224 110208 118080 121360 124320 127428 136530 137760 142080 145632 149184 157440 159285 165312 165760 169904 182040 183680 186480 191142 194176 198912 206640 212380 213120 218448 220416 236160 242720 248640 254856 273060 275520 291264 298368 318570 330624 331520 339808 364080 367360 372960 382284 388352 413280 424760 426240 436896 472320 477855 485440 497280 509712 546120 551040 582528 596736 637140 661248 679616 728160 745920 764568 826560 849520 873792 955710 970880 994560 1019424 1092240 1102080 1165056 1274280 1359232 1456320 1491840 1529136 1653120 1699040 1747584 1911420 1941760 2038848 2184480 2548560 2718464 2912640 2983680 3058272 3306240 3398080 3495168 3822840 4077696 4368960 5097120 5825280 6116544 6796160 7645680 8155392 8737920 10194240 12233088 13592320 15291360 17475840 20388480 24466176 30582720 40776960 61165440 122330880
- Sum of all divisors σ(n): 508906944
- Sum of proper divisors (its aliquot sum) s(n): 386576064
- 122330880 is an abundant number, because the sum of its proper divisors (386576064) is greater than itself. Its abundance is 264245184
Bases of 122330880
- Binary: 1110100101010011111000000002
- Hexadecimal: 0x74A9F00
- Base-36: 20TZ40
Squares and roots of 122330880
- 122330880 squared (1223308802) is 14964844201574400
- 122330880 cubed (1223308803) is 1830662560241493737472000
-
The
square root of 122330880 is 11060.3291090275 -
The
cube root of 122330880 is 496.4155380039
Scales and comparisons
How big is 122330880?- 122,330,880 seconds is equal to 3 years, 46 weeks, 1 day, 20 hours, 48 minutes.
-
To count from 1 to 122,330,880 would take you about five 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 122330880 cubic inches would be around 41.4 feet tall.
Recreational maths with 122330880
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