230746347000
230,746,347,000 is an even composite number composed of six prime numbers multiplied together.
230746347000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 230746347000:
23 × 33 × 53 × 132 × 61 × 829
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 61 × 829)See below for interesting mathematical facts about the number 230746347000 from the Numbermatics database.
Names of 230746347000
- Cardinal: 230746347000 can be written as Two hundred thirty billion, seven hundred forty-six million, three hundred forty-seven thousand.
Scientific notation
- Scientific notation: 2.30746347 × 1011
Factors of 230746347000
Divisors of 230746347000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 27 30 36 39 40 45 50 52 54 60 61 65 72 75 78 90 100 104 108 117 120 122 125 130 135 150 156 169 180 183 195 200 216 225 234 244 250 260 270 300 305 312 325 338 351 360 366 375 390 450 468 488 500 507 520 540 549 585 600 610 650 675 676 702 732 750 780 793 829 845 900 915 936 975 1000 1014 1080 1098 1125 1170 1220 1300 1350 1352 1404 1464 1500 1521 1525 1560 1586 1625 1647 1658 1690 1755 1800 1830 1950 2028 2196 2250 2340 2379 2440 2487 2535 2600 2700 2745 2808 2925 3000 3042 3050 3172 3250 3294 3316 3375 3380 3510 3660 3900 3965 4056 4145 4225 4392 4500 4563 4575 4680 4758 4875 4974 5070 5400 5490 5850 6084 6100 6344 6500 6588 6632 6750 6760 7020 7137 7320 7461 7605 7625 7800 7930 8235 8290 8450 8775 9000 9126 9150 9516 9750 9948 10140 10309 10777 10980 11700 11895 12168 12200 12435 12675 13000 13176 13500 13725 14040 14274 14625 14922 15210 15250 15860 16470 16580 16900 17550 18252 18300 19032 19500 19825 19896 20280 20618 20725 21125 21411 21554 21960 22383 22815 22875 23400 23790 24870 25350 27000 27450 28548 29250 29844 30420 30500 30927 31720 32331 32940 33160 33800 35100 35685 36504 36600 37305 38025 39000 39650 41175 41236 41450 42250 42822 43108 43875 44766 45630 45750 47580 49740 50569 50700 51545 53885 54900 57096 58500 59475 59688 60840 61000 61854 62175 63375 64662 65880 68625 70200 71370 74610 76050 79300 82350 82472 82900 84500 85644 86216 87750 89532 91260 91500 92781 95160 96993 99125 99480 101138 101400 103090 103625 107055 107770 109800 111915 114075 117000 118950 123708 124350 126750 129324 137250 140101 142740 149220 151707 152100 154635 158600 161655 164700 165800 169000 171288 175500 178425 179064 182520 183000 185562 186525 190125 193986 198250 202276 205875 206180 207250 214110 215540 223830 228150 237900 247416 248700 252845 253500 257725 258648 269425 274500 278343 280202 285480 290979 297375 298440 303414 304200 309270 310875 323310 329400 351000 356850 371124 373050 380250 387972 396500 404552 411750 412360 414500 420303 428220 431080 447660 455121 456300 463905 475800 484965 497400 505690 507000 515450 535275 538850 549000 556686 559575 560404 570375 581958 594750 606828 618540 621750 646620 657397 700505 713700 742248 746100 758535 760500 773175 775944 793000 808275 823500 829000 840606 856440 892125 895320 910242 912600 927810 932625 969930 1011380 1030900 1070550 1077700 1113372 1119150 1120808 1140750 1163916 1189500 1213656 1237080 1243500 1260909 1264225 1288625 1293240 1314794 1347125 1365363 1391715 1401010 1427400 1454895 1492200 1517070 1521000 1546350 1616550 1647000 1681212 1784250 1820484 1855620 1865250 1939860 1972191 2022760 2061800 2101515 2141100 2155400 2226744 2238300 2275605 2281500 2319525 2327832 2379000 2424825 2487000 2521818 2528450 2577250 2629588 2676375 2694250 2730726 2783430 2797875 2802020 2909790 3034140 3092700 3233100 3286985 3362424 3502525 3568500 3640968 3711240 3730500 3782727 3792675 3865875 3879720 3944382 4041375 4203030 4282200 4476600 4551210 4563000 4639050 4849650 5043636 5056900 5154500 5259176 5352750 5388500 5461452 5566860 5595750 5604040 5819580 5916573 6068280 6185400 6304545 6321125 6466200 6573970 6826815 6958575 7005050 7137000 7274475 7461000 7565454 7585350 7731750 7888764 8082750 8406060 8546161 9102420 9278100 9699300 9860955 10087272 10113800 10309000 10507575 10705500 10777000 10922904 11133720 11191500 11378025 11597625 11639160 11833146 12124125 12609090 12642250 13147940 13653630 13917150 14010100 14548950 15130908 15170700 15463500 15777528 16165500 16434925 16812120 17092322 17512625 17749719 18204840 18556200 18913635 18963375 19398600 19721910 21015150 21411000 22383000 22756050 23195250 23666292 24248250 25218180 25284500 25638483 26295880 27307260 27834300 28020200 29097900 29582865 30261816 30341400 30927000 31522725 32331000 32869850 34134075 34184644 34792875 35025250 35499438 36372375 37827270 37926750 39443820 42030300 42730805 45512100 46390500 47332584 48496500 49304775 50436360 50569000 51276966 52537875 54614520 55668600 56890125 58195800 59165730 63045450 65739700 68268150 68369288 69585750 70050500 70998876 72744750 75654540 75853500 76915449 78887640 82174625 84060600 85461610 88748595 91024200 92781000 94568175 96993000 98609550 102553932 105075750 113780250 118331460 126090900 128192415 131479400 136536300 139171500 140101000 141997752 145489500 147914325 151309080 151707000 153830898 157613625 164349250 170670375 170923220 177497190 189136350 197219100 205107864 210151500 213654025 227560500 230746347 236662920 246523875 252181800 256384830 273072600 278343000 290979000 295828650 307661796 315227250 328698500 341340750 341846440 354994380 378272700 384577245 394438200 420303000 427308050 443742975 455121000 461492694 472840875 493047750 512769660 591657300 615323592 630454500 640962075 657397000 682681500 709988760 739571625 756545400 769154490 854616100 887485950 922985388 945681750 986095500 1025539320 1068270125 1153731735 1183314600 1260909000 1281924150 1365363000 1479143250 1538308980 1709232200 1774971900 1845970776 1891363500 1922886225 1972191000 2136540250 2218714875 2307463470 2563848300 2958286500 3076617960 3204810375 3549943800 3782727000 3845772450 4273080500 4437429750 4614926940 5127696600 5768658675 5916573000 6409620750 7691544900 8546161000 8874859500 9229853880 9614431125 11537317350 12819241500 15383089800 17749719000 19228862250 23074634700 25638483000 28843293375 38457724500 46149269400 57686586750 76915449000 115373173500 230746347000
- Sum of all divisors σ(n): 881448048000
- Sum of proper divisors (its aliquot sum) s(n): 650701701000
- 230746347000 is an abundant number, because the sum of its proper divisors (650701701000) is greater than itself. Its abundance is 419955354000
Bases of 230746347000
- Binary: 110101101110011000110111010101111110002
- Hexadecimal: 0x35B98DD5F8
- Base-36: 2Y04F0U0
Squares and roots of 230746347000
- 230746347000 squared (2307463470002) is 53243876653844409000000
- 230746347000 cubed (2307463470003) is 12285830037993180883123923000000000
-
The
square root of 230746347000 is 480360.6426425881 -
The
cube root of 230746347000 is 6133.5457842945
Scales and comparisons
How big is 230746347000?- 230,746,347,000 seconds is equal to 7,337 years, 1 week, 7 hours, 30 minutes.
-
To count from 1 to 230,746,347,000 would take you about fourteen thousand, six hundred seventy-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 230746347000 cubic inches would be around 511.1 feet tall.
Recreational maths with 230746347000
- 230746347000 backwards is 000743647032
- 230746347000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 230746347000's digits is 36
- More coming soon!
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