230356818224000
230,356,818,224,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 230356818224000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
230356818224000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 230356818224000:
27 × 53 × 132 × 172 × 31 × 37 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 17 × 17 × 31 × 37 × 257)See below for interesting mathematical facts about the number 230356818224000 from the Numbermatics database.
Names of 230356818224000
- Cardinal: 230356818224000 can be written as Two hundred thirty trillion, three hundred fifty-six billion, eight hundred eighteen million, two hundred twenty-four thousand.
Scientific notation
- Scientific notation: 2.30356818224 × 1014
Factors of 230356818224000
Divisors of 230356818224000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 31 32 34 37 40 50 52 62 64 65 68 74 80 85 100 104 124 125 128 130 136 148 155 160 169 170 185 200 208 221 248 250 257 260 272 289 296 310 320 325 338 340 370 400 403 416 425 442 481 496 500 514 520 527 544 578 592 620 629 640 650 676 680 740 775 800 806 832 845 850 884 925 962 992 1000 1028 1040 1054 1088 1105 1147 1156 1184 1240 1258 1285 1300 1352 1360 1445 1480 1550 1600 1612 1625 1664 1690 1700 1768 1850 1924 1984 2000 2015 2056 2080 2108 2125 2176 2210 2294 2312 2368 2405 2480 2516 2570 2600 2635 2704 2720 2873 2890 2960 3100 3145 3200 3224 3250 3341 3380 3400 3536 3700 3757 3848 3875 3968 4000 4030 4112 4160 4216 4225 4250 4369 4420 4588 4624 4625 4736 4810 4960 5032 5140 5200 5239 5270 5408 5440 5525 5735 5746 5780 5920 6200 6253 6290 6425 6448 6500 6682 6760 6800 6851 7072 7225 7400 7514 7696 7750 7967 8000 8060 8177 8224 8320 8432 8450 8500 8738 8840 8959 9176 9248 9250 9509 9620 9920 10064 10075 10280 10400 10478 10540 10693 10816 10880 11050 11470 11492 11560 11840 12025 12400 12506 12580 12850 12896 13000 13175 13364 13520 13600 13702 14144 14365 14450 14800 14911 15028 15392 15500 15725 15934 16000 16120 16354 16448 16705 16864 16900 17000 17476 17680 17918 18352 18496 18500 18785 19018 19240 19499 19840 20128 20150 20560 20800 20956 21080 21125 21386 21632 21845 22100 22940 22984 23120 23680 24050 24800 25012 25160 25700 25792 26000 26195 26350 26728 27040 27200 27404 27625 28288 28675 28730 28900 29600 29822 30056 30784 31000 31265 31450 31868 32125 32240 32708 32896 33410 33728 33800 34000 34255 34952 35360 35836 36125 36704 36992 37000 37570 38036 38480 38998 39835 40256 40300 40885 41120 41600 41912 42160 42250 42772 43433 43690 44200 44795 45880 45968 46240 47545 48100 48841 49600 50024 50320 50375 51400 51584 52000 52390 52700 53456 53465 54080 54400 54808 55250 56797 57350 57460 57800 59200 59644 60112 60125 61568 62000 62530 62900 63736 64250 64480 65416 65875 66820 67456 67600 68000 68510 69904 70720 71672 71825 72250 73408 74000 74273 74555 75140 76072 76960 77996 78625 79670 80512 80600 81770 82240 83525 83824 84320 84500 85544 86866 87380 88400 89063 89590 91760 91936 92480 93925 95090 96200 97495 97682 99200 100048 100640 100750 102800 103571 104000 104780 105400 106301 106912 106930 108160 109225 109616 110500 113594 114700 114920 115600 116467 118400 119288 120224 120250 123617 124000 125060 125800 127472 128500 128960 130832 130975 131750 133640 135200 135439 136000 137020 139009 139808 141440 143344 143375 143650 144500 146816 148000 148546 149110 150280 152144 153920 155992 156325 157250 159340 161200 161653 163540 164480 167050 167648 168640 169000 171088 171275 173732 174760 176800 178126 179180 183520 183872 184960 187850 190180 192400 193843 194990 195364 199175 200096 201280 201500 204425 205600 207142 208000 209560 210800 212602 213824 213860 217165 218450 219232 221000 223975 227188 229400 229840 231200 232934 237725 238576 240448 240500 244205 247234 248000 250120 251600 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55374235150 56020627000 57160500800 57589204556 58053633625 59446920832 59864038000 61314032000 62258599520 65146159000 67752005360 68152904800 68948464000 70879020992 71450626000 71986505695 73245411200 74308651040 77823249400 79708241600 80179888000 84690006700 85191131000 87421942400 88598776240 89633003200 91556764000 92885813800 95782460800 97279061750 99635302000 100417096000 104233854400 105862508375 108403208576 109277428000 110748470300 112041254000 114321001600 115178409112 116107267250 119728076000 124517199040 130292318000 135504010720 136305809600 138435587875 141758041984 142901252000 143973011390 148617302080 155646498800 159416483200 169380013400 170382262000 177197552480 179266006400 183113528000 185771627600 194558123500 199270604000 200834192000 208467708800 211725016750 218554856000 221496940600 224082508000 230356818224 232214534500 239456152000 249034398080 260584636000 271008021440 272611619200 276871175750 285802504000 287946022780 297234604160 311292997600 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115178409112000 230356818224000
- Sum of all divisors σ(n): 701144489111040
- Sum of proper divisors (its aliquot sum) s(n): 470787670887040
- 230356818224000 is an abundant number, because the sum of its proper divisors (470787670887040) is greater than itself. Its abundance is 240430852663040
Bases of 230356818224000
- Binary: 1101000110000010001000000101001001100011100000002
- Hexadecimal: 0xD18220526380
- Base-36: 29NKGLXM68
Squares and roots of 230356818224000
- 230356818224000 squared (2303568182240002) is 53064263702284978514176000000
- 230356818224000 cubed (2303568182240003) is 12223714947857662049035786439143424000000000
-
The
square root of 230356818224000 is 15177510.2775125799 -
The
cube root of 230356818224000 is 61300.9244213729
Scales and comparisons
How big is 230356818224000?- 230,356,818,224,000 seconds is equal to 7,324,634 years, 14 weeks, 3 days, 14 hours, 13 minutes, 20 seconds.
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To count from 1 to 230,356,818,224,000 would take you about eighteen million, three hundred eleven thousand, five hundred eighty-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 230356818224000 cubic inches would be around 5108.4 feet tall.
Recreational maths with 230356818224000
- 230356818224000 backwards is 000422818653032
- The number of decimal digits it has is: 15
- The sum of 230356818224000's digits is 44
- More coming soon!
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The information we have on file for 230356818224000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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