11830790400
11,830,790,400 is an even composite number composed of seven prime numbers multiplied together.
11830790400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 11830790400:
28 × 3 × 52 × 11 × 13 × 31 × 139
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 13 × 31 × 139)See below for interesting mathematical facts about the number 11830790400 from the Numbermatics database.
Names of 11830790400
- Cardinal: 11830790400 can be written as Eleven billion, eight hundred thirty million, seven hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 1.18307904 × 1010
Factors of 11830790400
Divisors of 11830790400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 30 31 32 33 39 40 44 48 50 52 55 60 62 64 65 66 75 78 80 88 93 96 100 104 110 120 124 128 130 132 139 143 150 155 156 160 165 176 186 192 195 200 208 220 240 248 256 260 264 275 278 286 300 310 312 320 325 330 341 352 372 384 390 400 403 416 417 429 440 465 480 496 520 528 550 556 572 600 620 624 640 650 660 682 695 704 715 744 768 775 780 800 806 825 832 834 858 880 930 960 975 992 1023 1040 1056 1100 1112 1144 1200 1209 1240 1248 1280 1300 1320 1364 1390 1408 1430 1488 1529 1550 1560 1600 1612 1650 1664 1668 1705 1716 1760 1807 1860 1920 1950 1984 2015 2046 2080 2085 2112 2145 2200 2224 2288 2325 2400 2418 2480 2496 2600 2640 2728 2780 2816 2860 2976 3058 3100 3120 3200 3224 3300 3328 3336 3410 3432 3475 3520 3575 3614 3720 3840 3900 3968 4030 4092 4160 4170 4224 4290 4309 4400 4433 4448 4576 4587 4650 4800 4836 4960 4992 5115 5200 5280 5421 5456 5560 5720 5952 6045 6116 6200 6240 6400 6448 6600 6672 6820 6864 6950 7040 7150 7228 7440 7645 7800 7936 8060 8184 8320 8340 8448 8525 8580 8618 8800 8866 8896 9035 9152 9174 9300 9600 9672 9920 9984 10075 10230 10400 10425 10560 10725 10842 10912 11120 11440 11904 12090 12232 12400 12480 12896 12927 13200 13299 13344 13640 13728 13900 14080 14300 14456 14880 15290 15600 16120 16368 16640 16680 17050 17160 17236 17600 17732 17792 18070 18304 18348 18600 19200 19344 19840 19877 20150 20460 20800 20850 21120 21450 21545 21684 21824 22165 22240 22880 22935 23808 24180 24464 24800 24960 25575 25792 25854 26400 26598 26688 27105 27280 27456 27800 28600 28912 29760 30225 30580 31200 32240 32736 33360 34100 34320 34472 35200 35464 35584 36140 36608 36696 37200 38225 38688 39680 39754 40300 40920 41600 41700 42240 42900 43090 43368 43648 44330 44480 45175 45760 45870 47399 48360 48928 49600 49920 51150 51584 51708 52800 53196 53376 54210 54560 54912 55600 56017 57200 57824 59520 59631 60450 61160 62400 64480 64635 65472 66495 66720 68200 68640 68944 70400 70928 72280 73392 74400 76450 77376 79508 80600 81840 83200 83400 85800 86180 86736 87296 88660 88960 90350 91520 91740 94798 96720 97856 99200 99385 102300 103168 103416 105600 106392 106752 107725 108420 109120 109824 110825 111200 112034 114400 114675 115648 119040 119262 120900 122320 124800 128960 129270 130944 132990 133440 135525 136400 137280 137888 141856 142197 144560 146784 148800 152900 154752 159016 161200 163680 166800 168051 171600 172360 173472 177320 177920 180700 183040 183480 189596 193440 195712 198400 198770 204600 206832 211200 212784 215450 216840 218240 221650 222400 224068 228800 229350 231296 236995 238524 241800 244640 249600 257920 258540 261888 265980 266880 271050 272800 274560 275776 280085 283712 284394 289120 293568 297600 298155 305800 309504 318032 322400 323175 327360 332475 333600 336102 343200 344720 346944 354640 361400 366960 379192 386880 391424 397540 409200 413664 425568 430900 433680 436480 443300 444800 448136 457600 458700 462592 473990 477048 483600 489280 496925 515840 517080 531960 533760 542100 545600 549120 551552 560170 567424 568788 578240 587136 595200 596310 611600 616187 636064 644800 646350 654720 664950 667200 672204 686400 689440 693888 709280 710985 722800 733920 758384 773760 795080 818400 827328 840255 851136 861800 867360 886600 889600 896272 915200 917400 947980 954096 967200 978560 993850 1034160 1063920 1084200 1091200 1103104 1120340 1134848 1137576 1156480 1174272 1184975 1192620 1223200 1232374 1272128 1289600 1292700 1309440 1329900 1334400 1344408 1372800 1378880 1387776 1400425 1418560 1421970 1445600 1467840 1490775 1516768 1547520 1590160 1636800 1654656 1680510 1702272 1723600 1734720 1773200 1792544 1834800 1848561 1895960 1908192 1934400 1957120 1987700 2068320 2127840 2168400 2182400 2240680 2275152 2312960 2369950 2385240 2446400 2464748 2544256 2579200 2585400 2659800 2668800 2688816 2745600 2757760 2800850 2837120 2843940 2891200 2935680 2981550 3033536 3080935 3180320 3273600 3309312 3361020 3404544 3447200 3469440 3546400 3554925 3585088 3669600 3697122 3791920 3816384 3868800 3975400 4136640 4201275 4255680 4336800 4481360 4550304 4739900 4770480 4892800 4929496 5088512 5170800 5319600 5377632 5515520 5601700 5674240 5687880 5782400 5871360 5963100 6067072 6161870 6360640 6547200 6722040 6894400 6938880 7092800 7109850 7170176 7339200 7394244 7583840 7632768 7737600 7950800 8273280 8402550 8511360 8673600 8962720 9100608 9242805 9479800 9540960 9785600 9858992 10341600 10639200 10755264 11203400 11375760 11564800 11926200 12134144 12323740 12721280 13444080 13788800 14185600 14219700 14340352 14678400 14788488 15167680 15265536 15404675 15901600 16546560 16805100 17022720 17347200 17925440 18201216 18485610 18959600 19081920 19717984 20683200 21278400 21510528 22406800 22751520 23852400 24647480 25442560 26888160 27577600 28371200 28439400 29356800 29576976 30335360 30809350 31803200 33610200 34694400 35850880 36402432 36971220 37919200 38163840 39435968 41366400 42556800 43021056 44813600 45503040 46214025 47704800 49294960 53776320 56878800 59153952 60670720 61618700 63606400 67220400 71701760 73942440 75838400 76327680 78871936 82732800 85113600 89627200 91006080 92428050 95409600 98589920 107552640 113757600 118307904 123237400 127212800 134440800 147884880 151676800 157743872 179254400 182012160 184856100 190819200 197179840 215105280 227515200 236615808 246474800 268881600 295769760 303353600 358508800 369712200 381638400 394359680 455030400 473231616 492949600 537763200 591539520 739424400 788719360 910060800 985899200 1075526400 1183079040 1478848800 1971798400 2366158080 2957697600 3943596800 5915395200 11830790400
- Sum of all divisors σ(n): 47690280960
- Sum of proper divisors (its aliquot sum) s(n): 35859490560
- 11830790400 is an abundant number, because the sum of its proper divisors (35859490560) is greater than itself. Its abundance is 24028700160
Bases of 11830790400
- Binary: 10110000010010101110001001000000002
- Hexadecimal: 0x2C12B8900
- Base-36: 5FNQWAO
Squares and roots of 11830790400
- 11830790400 squared (118307904002) is 139967601488732160000
- 11830790400 cubed (118307904003) is 1655927356003918146699264000000
-
The
square root of 11830790400 is 108769.4368837129 -
The
cube root of 11830790400 is 2278.6165815081
Scales and comparisons
How big is 11830790400?- 11,830,790,400 seconds is equal to 376 years, 9 weeks, 3 days, 10 hours, 40 minutes.
-
To count from 1 to 11,830,790,400 would take you about seven hundred fifty-two 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 11830790400 cubic inches would be around 189.9 feet tall.
Recreational maths with 11830790400
- 11830790400 backwards is 00409703811
- 11830790400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 11830790400's digits is 33
- More coming soon!
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