990338400
990,338,400 is an even composite number composed of six prime numbers multiplied together.
990338400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 990338400:
25 × 34 × 52 × 17 × 29 × 31
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 17 × 29 × 31)See below for interesting mathematical facts about the number 990338400 from the Numbermatics database.
Names of 990338400
- Cardinal: 990338400 can be written as Nine hundred ninety million, three hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 9.903384 × 108
Factors of 990338400
Divisors of 990338400
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 29 30 31 32 34 36 40 45 48 50 51 54 58 60 62 68 72 75 80 81 85 87 90 93 96 100 102 108 116 120 124 135 136 144 145 150 153 155 160 162 170 174 180 186 200 204 216 225 232 240 248 255 261 270 272 279 288 290 300 306 310 324 340 348 360 372 400 405 408 425 432 435 450 459 464 465 480 493 496 510 522 527 540 544 558 580 600 612 620 648 675 680 696 720 725 744 765 775 783 800 810 816 837 850 864 870 899 900 918 928 930 986 992 1020 1044 1054 1080 1116 1160 1200 1224 1240 1275 1296 1305 1350 1360 1377 1392 1395 1440 1450 1479 1488 1530 1550 1566 1581 1620 1632 1674 1700 1740 1798 1800 1836 1860 1972 2025 2040 2088 2108 2160 2175 2232 2295 2320 2325 2349 2400 2448 2465 2480 2511 2550 2592 2610 2635 2697 2700 2720 2754 2784 2790 2900 2958 2976 3060 3100 3132 3162 3240 3348 3400 3480 3596 3600 3672 3720 3825 3915 3944 4050 4080 4176 4185 4216 4320 4350 4437 4464 4495 4590 4640 4650 4698 4743 4896 4930 4960 5022 5100 5220 5270 5394 5400 5508 5580 5800 5916 6120 6200 6264 6324 6480 6525 6696 6800 6885 6960 6975 7192 7200 7344 7395 7440 7650 7830 7888 7905 8091 8100 8160 8352 8370 8432 8700 8874 8928 8990 9180 9300 9396 9486 9860 10044 10200 10440 10540 10788 10800 11016 11160 11475 11600 11745 11832 12240 12325 12400 12528 12555 12648 12960 13050 13175 13311 13392 13485 13600 13770 13920 13950 14229 14384 14688 14790 14880 15283 15300 15660 15776 15810 16182 16200 16740 16864 17400 17748 17980 18360 18600 18792 18972 19575 19720 20088 20400 20880 20925 21080 21576 21600 22032 22185 22320 22475 22950 23200 23490 23664 23715 24273 24480 24650 24800 25056 25110 25296 26100 26350 26622 26784 26970 27540 27900 28458 28768 29580 30566 30600 31320 31620 32364 32400 33480 34425 34800 35496 35960 36720 36975 37200 37584 37944 39150 39440 39525 39933 40176 40455 40800 41760 41850 42160 42687 43152 44064 44370 44640 44950 45849 45900 46980 47328 47430 48546 49300 50220 50592 52200 52700 53244 53940 55080 55800 56916 58725 59160 61132 61200 62640 62775 63240 64728 64800 66555 66960 67425 68850 69600 70992 71145 71920 72819 73440 73950 74400 75168 75888 76415 78300 78880 79050 79866 80352 80910 83700 84320 85374 86304 88740 89900 91698 91800 93960 94860 97092 98600 100440 104400 105400 106488 107880 110160 110925 111600 113832 117450 118320 118575 121365 122264 122400 125280 125550 126480 129456 133110 133920 134850 137547 137700 141984 142290 143840 145638 147900 151776 152830 156600 158100 159732 161820 167400 170748 177480 179800 183396 183600 187920 189720 194184 197200 199665 200880 202275 208800 210800 212976 213435 215760 220320 221850 223200 227664 229245 234900 236640 237150 242730 244528 251100 252960 258912 266220 269700 275094 275400 284580 291276 295800 305660 313200 316200 319464 323640 332775 334800 341496 354960 355725 359600 364095 366792 367200 375840 379440 382075 388368 394400 399330 401760 404550 412641 421600 425952 426870 431520 443700 455328 458490 469800 474300 485460 489056 502200 532440 539400 550188 550800 569160 582552 591600 606825 611320 626400 632400 638928 647280 665550 669600 682992 687735 709920 711450 719200 728190 733584 758880 764150 776736 798660 809100 825282 853740 887400 916980 939600 948600 970920 998325 1004400 1064880 1067175 1078800 1100376 1101600 1138320 1146225 1165104 1183200 1213650 1222640 1237923 1264800 1277856 1294560 1331100 1365984 1375470 1422900 1456380 1467168 1528300 1597320 1618200 1650564 1707480 1774800 1820475 1833960 1879200 1897200 1941840 1996650 2008800 2063205 2129760 2134350 2157600 2200752 2276640 2292450 2330208 2427300 2445280 2475846 2662200 2750940 2845800 2912760 3056600 3194640 3236400 3301128 3414960 3438675 3549600 3640950 3667920 3794400 3883680 3993300 4126410 4268700 4401504 4584900 4854600 4951692 5324400 5501880 5691600 5825520 6113200 6189615 6389280 6472800 6602256 6829920 6877350 7281900 7335840 7986600 8252820 8537400 9169800 9709200 9903384 10316025 10648800 11003760 11383200 11651040 12226400 12379230 13204512 13754700 14563800 15973200 16505640 17074800 18339600 19418400 19806768 20632050 22007520 24758460 27509400 29127600 30948075 31946400 33011280 34149600 36679200 39613536 41264100 49516920 55018800 58255200 61896150 66022560 82528200 99033840 110037600 123792300 165056400 198067680 247584600 330112800 495169200 990338400
- Sum of all divisors σ(n): 4083488640
- Sum of proper divisors (its aliquot sum) s(n): 3093150240
- 990338400 is an abundant number, because the sum of its proper divisors (3093150240) is greater than itself. Its abundance is 2102811840
Bases of 990338400
- Binary: 1110110000011101011101011000002
- Hexadecimal: 0x3B075D60
- Base-36: GDME00
Squares and roots of 990338400
- 990338400 squared (9903384002) is 980770146514560000
- 990338400 cubed (9903384003) is 971294337666994927104000000
-
The
square root of 990338400 is 31469.6425146521 -
The
cube root of 990338400 is 996.7690387991
Scales and comparisons
How big is 990338400?- 990,338,400 seconds is equal to 31 years, 25 weeks, 3 days, 6 hours.
-
To count from 1 to 990,338,400 would take you about forty-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 990338400 cubic inches would be around 83.1 feet tall.
Recreational maths with 990338400
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