230472467456000
230,472,467,456,000 is an even composite number composed of six prime numbers multiplied together.
230472467456000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, five hundred eighty-four divisors.
Prime factorization of 230472467456000:
213 × 53 × 73 × 113 × 17 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 11 × 17 × 29)See below for interesting mathematical facts about the number 230472467456000 from the Numbermatics database.
Names of 230472467456000
- Cardinal: 230472467456000 can be written as Two hundred thirty trillion, four hundred seventy-two billion, four hundred sixty-seven million, four hundred fifty-six thousand.
Scientific notation
- Scientific notation: 2.30472467456 × 1014
Factors of 230472467456000
Divisors of 230472467456000
- Number of divisors d(n): 3584
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 17 20 22 25 28 29 32 34 35 40 44 49 50 55 56 58 64 68 70 77 80 85 88 98 100 110 112 116 119 121 125 128 136 140 145 154 160 170 175 176 187 196 200 203 220 224 232 238 242 245 250 256 272 275 280 290 308 319 320 340 343 350 352 374 385 392 400 406 425 440 448 464 476 484 490 493 500 512 539 544 550 560 580 595 605 616 638 640 680 686 700 704 725 748 770 784 800 812 833 847 850 875 880 896 928 935 952 968 980 986 1000 1015 1024 1078 1088 1100 1120 1160 1190 1210 1225 1232 1276 1280 1309 1331 1360 1372 1375 1400 1408 1421 1450 1496 1540 1568 1595 1600 1624 1666 1694 1700 1715 1750 1760 1792 1856 1870 1904 1925 1936 1960 1972 2000 2030 2048 2057 2125 2156 2176 2200 2233 2240 2320 2380 2420 2450 2464 2465 2552 2560 2618 2662 2695 2720 2744 2750 2800 2816 2842 2900 2975 2992 3025 3080 3136 3190 3200 3248 3332 3388 3400 3430 3451 3500 3509 3520 3584 3625 3712 3740 3773 3808 3850 3872 3920 3944 4000 4060 4096 4114 4165 4235 4250 4312 4352 4400 4466 4480 4640 4675 4760 4840 4900 4928 4930 5075 5104 5120 5236 5324 5390 5423 5440 5488 5500 5600 5632 5684 5800 5831 5929 5950 5984 6050 6125 6160 6272 6380 6400 6496 6545 6655 6664 6776 6800 6860 6902 7000 7018 7040 7105 7168 7250 7424 7480 7546 7616 7700 7744 7840 7888 7975 8000 8120 8192 8228 8330 8470 8500 8575 8624 8704 8800 8932 8960 9163 9280 9317 9350 9520 9625 9680 9800 9856 9860 9947 10150 10208 10240 10285 10472 10648 10780 10846 10880 10976 11000 11165 11200 11264 11368 11600 11662 11858 11900 11968 12100 12250 12320 12325 12544 12760 12800 12992 13090 13310 13328 13475 13552 13600 13720 13804 14000 14036 14080 14210 14336 14399 14500 14848 14875 14960 15092 15125 15232 15400 15488 15631 15680 15776 15950 16000 16240 16456 16660 16940 17000 17150 17248 17255 17408 17545 17600 17864 17920 18326 18560 18634 18700 18865 19040 19250 19360 19600 19712 19720 19894 20300 20416 20480 20570 20825 20944 21175 21296 21560 21692 21760 21952 22000 22330 22400 22528 22627 22736 23200 23324 23375 23716 23800 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484185856000 496707904000 514447472000 523801062400 542288158720 567666176000 576181168640 587939968000 598629785600 616236544000 654751328000 658492764160 671931392000 677860198400 720226460800 722484224000 748287232000 794732646400 823115955200 838081699840 847325248000 900283076000 921889869824 940703948800 952365568000 968371712000 993415808000 1028894944000 1047602124800 1135332352000 1152362337280 1175879936000 1232473088000 1309502656000 1316985528320 1355720396800 1440452921600 1496574464000 1589465292800 1646231910400 1694650496000 1800566152000 1843779739648 1904731136000 1936743424000 1986831616000 2057789888000 2095204249600 2304724674560 2351759872000 2619005312000 2711440793600 2880905843200 2993148928000 3292463820800 3389300992000 3601132304000 3973663232000 4115579776000 4190408499200 4609449349120 4703519744000 5238010624000 5761811686400 6584927641600 6778601984000 7202264608000 7947326464000 8231159552000 9218898698240 10476021248000 11523623372800 13557203968000 14404529216000 16462319104000 20952042496000 23047246745600 28809058432000 32924638208000 46094493491200 57618116864000 115236233728000 230472467456000
- Sum of all divisors σ(n): 808188855552000
- Sum of proper divisors (its aliquot sum) s(n): 577716388096000
- 230472467456000 is an abundant number, because the sum of its proper divisors (577716388096000) is greater than itself. Its abundance is 347243920640000
Bases of 230472467456000
- Binary: 1101000110011101000011011000110110100000000000002
- Hexadecimal: 0xD19D0D8DA000
- Base-36: 29P1L8I0OW
Squares and roots of 230472467456000
- 230472467456000 squared (2304724674560002) is 53117558255256979111936000000
- 230472467456000 cubed (2304724674560003) is 12242134716326898259292541541154816000000000
-
The
square root of 230472467456000 is 15181319.6875633971 -
The
cube root of 230472467456000 is 61311.1812898523
Scales and comparisons
How big is 230472467456000?- 230,472,467,456,000 seconds is equal to 7,328,311 years, 29 weeks, 3 days, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 230,472,467,456,000 would take you about eighteen million, three hundred twenty thousand, seven hundred seventy-eight 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 230472467456000 cubic inches would be around 5109.3 feet tall.
Recreational maths with 230472467456000
- 230472467456000 backwards is 000654764274032
- 230472467456000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 230472467456000's digits is 50
- More coming soon!
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"Number 230472467456000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 230472467456000 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/230472467456000/
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The information we have on file for 230472467456000 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!
Keywords: Divisors of 230472467456000, math, Factors of 230472467456000, curriculum, school, college, exams, university, Prime factorization of 230472467456000, STEM, science, technology, engineering, physics, economics, calculator, two hundred thirty trillion, four hundred seventy-two billion, four hundred sixty-seven million, four hundred fifty-six thousand.