230907188400
230,907,188,400 is an even composite number composed of six prime numbers multiplied together.
230907188400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 230907188400:
24 × 3 × 52 × 73 × 401 × 1399
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 401 × 1399)See below for interesting mathematical facts about the number 230907188400 from the Numbermatics database.
Names of 230907188400
- Cardinal: 230907188400 can be written as Two hundred thirty billion, nine hundred seven million, one hundred eighty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 2.309071884 × 1011
Factors of 230907188400
Divisors of 230907188400
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 49 50 56 60 70 75 80 84 98 100 105 112 120 140 147 150 168 175 196 200 210 240 245 280 294 300 336 343 350 392 400 401 420 490 525 560 588 600 686 700 735 784 802 840 980 1029 1050 1176 1200 1203 1225 1372 1399 1400 1470 1604 1680 1715 1960 2005 2058 2100 2352 2406 2450 2744 2798 2800 2807 2940 3208 3430 3675 3920 4010 4116 4197 4200 4812 4900 5145 5488 5596 5614 5880 6015 6416 6860 6995 7350 8020 8232 8394 8400 8421 8575 9624 9793 9800 10025 10290 11192 11228 11760 12030 13720 13990 14035 14700 16040 16464 16788 16842 17150 19248 19586 19600 19649 20050 20580 20985 22384 22456 24060 25725 27440 27980 28070 29379 29400 30075 32080 33576 33684 34300 34975 39172 39298 40100 41160 41970 42105 44912 48120 48965 51450 55960 56140 58758 58800 58947 60150 67152 67368 68551 68600 69950 70175 78344 78596 80200 82320 83940 84210 96240 97930 98245 102900 104925 111920 112280 117516 117894 120300 134736 137102 137200 137543 139900 140350 146895 156688 157192 160400 167880 168420 195860 196490 205653 205800 209850 210525 224560 235032 235788 240600 244825 274204 275086 279800 280700 293790 294735 314384 335760 336840 342755 391720 392980 411306 411600 412629 419700 421050 470064 471576 479857 481200 489650 491225 548408 550172 559600 560999 561400 587580 589470 673680 685510 687715 734475 783440 785960 822612 825258 839400 842100 943152 959714 979300 982450 1028265 1096816 1100344 1121998 1122800 1175160 1178940 1371020 1375430 1439571 1468950 1473675 1571920 1645224 1650516 1678800 1682997 1684200 1713775 1919428 1958600 1964900 2056530 2063145 2200688 2243996 2350320 2357880 2399285 2742040 2750860 2804995 2879142 2937900 2947350 3290448 3301032 3365994 3368400 3427550 3438575 3838856 3917200 3926993 3929800 4113060 4126290 4487992 4715760 4798570 5141325 5484080 5501720 5609990 5758284 5875800 5894700 6602064 6731988 6855100 6877150 7197855 7677712 7853986 7859600 8226120 8252580 8414985 8975984 9597140 10282650 10315725 11003440 11219980 11516568 11751600 11780979 11789400 11996425 13463976 13710200 13754300 14024975 14395710 15707972 16452240 16505160 16829970 19194280 19634965 20565300 20631450 22439960 23033136 23561958 23578800 23992850 26927952 27420400 27488951 27508600 28049950 28791420 31415944 33010320 33659940 35989275 38388560 39269930 41130600 41262900 42074925 44879920 47123916 47985700 54977902 55017200 56099900 57582840 58904895 62831888 67319880 71978550 78539860 82261200 82466853 82525800 84149850 94247832 95971400 98174825 109955804 112199800 115165680 117809790 134639760 137444755 143957100 157079720 164933706 165051600 168299700 188495664 191942800 192422657 196349650 219911608 224399600 235619580 274889510 287914200 294524475 314159440 329867412 336599400 384845314 392699300 412334265 439823216 471239160 549779020 575828400 577267971 589048950 659734824 673198800 687223775 769690628 785398600 824668530 942478320 962113285 1099558040 1154535942 1178097900 1319469648 1374447550 1539381256 1570797200 1649337060 1924226570 2061671325 2199116080 2309071884 2356195800 2748895100 2886339855 3078762512 3298674120 3848453140 4123342650 4618143768 4712391600 4810566425 5497790200 5772679710 6597348240 7696906280 8246685300 9236287536 9621132850 10995580400 11545359420 14431699275 15393812560 16493370600 19242265700 23090718840 28863398550 32986741200 38484531400 46181437680 57726797100 76969062800 115453594200 230907188400
- Sum of all divisors σ(n): 865361280000
- Sum of proper divisors (its aliquot sum) s(n): 634454091600
- 230907188400 is an abundant number, because the sum of its proper divisors (634454091600) is greater than itself. Its abundance is 403546903200
Bases of 230907188400
- Binary: 110101110000110010010000010100101100002
- Hexadecimal: 0x35C32414B0
- Base-36: 2Y2S6EUO
Squares and roots of 230907188400
- 230907188400 squared (2309071884002) is 53318129654793094560000
- 230907188400 cubed (2309071884003) is 12311539409334936048584935104000000
-
The
square root of 230907188400 is 480528.0308161013 -
The
cube root of 230907188400 is 6134.9705796351
Scales and comparisons
How big is 230907188400?- 230,907,188,400 seconds is equal to 7,342 years, 6 weeks, 6 days, 21 hours, 40 minutes.
-
To count from 1 to 230,907,188,400 would take you about fourteen thousand, six hundred eighty-four 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 230907188400 cubic inches would be around 511.2 feet tall.
Recreational maths with 230907188400
- 230907188400 backwards is 004881709032
- 230907188400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 230907188400's digits is 42
- More coming soon!
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