230973988128000
230,973,988,128,000 is an even composite number composed of eight prime numbers multiplied together.
230973988128000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 230973988128000:
28 × 3 × 53 × 13 × 172 × 43 × 53 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 17 × 17 × 43 × 53 × 281)See below for interesting mathematical facts about the number 230973988128000 from the Numbermatics database.
Names of 230973988128000
- Cardinal: 230973988128000 can be written as Two hundred thirty trillion, nine hundred seventy-three billion, nine hundred eighty-eight million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 2.30973988128 × 1014
Factors of 230973988128000
Divisors of 230973988128000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 32 34 39 40 43 48 50 51 52 53 60 64 65 68 75 78 80 85 86 96 100 102 104 106 120 125 128 129 130 136 150 156 159 160 170 172 192 195 200 204 208 212 215 221 240 250 255 256 258 260 265 272 281 289 300 312 318 320 325 340 344 375 384 390 400 408 416 424 425 430 442 480 500 510 516 520 530 544 559 562 578 600 624 636 640 645 650 663 680 688 689 731 750 768 780 795 800 816 832 843 848 850 860 867 884 901 960 975 1000 1020 1032 1040 1060 1075 1088 1105 1118 1124 1156 1200 1248 1272 1275 1280 1290 1300 1325 1326 1360 1376 1378 1405 1445 1462 1500 1560 1590 1600 1625 1632 1664 1677 1686 1696 1700 1720 1734 1768 1802 1920 1950 2000 2040 2064 2067 2080 2120 2125 2150 2176 2193 2210 2236 2248 2279 2312 2400 2496 2544 2550 2580 2600 2650 2652 2703 2720 2752 2756 2795 2810 2890 2924 3000 3120 3180 3200 3225 3250 3264 3315 3328 3354 3372 3392 3400 3440 3445 3468 3536 3604 3653 3655 3757 3840 3900 3975 4000 4080 4128 4134 4160 4215 4240 4250 4300 4335 4352 4386 4420 4472 4496 4505 4558 4624 4777 4800 4875 4992 5088 5100 5160 5200 5300 5304 5375 5406 5440 5504 5512 5525 5590 5620 5780 5848 6000 6240 6360 6375 6400 6450 6500 6528 6625 6630 6708 6744 6784 6800 6837 6880 6890 6936 7025 7072 7208 7225 7306 7310 7514 7800 7950 8000 8160 8256 8268 8320 8385 8430 8480 8500 8600 8670 8772 8840 8944 8992 9010 9116 9248 9503 9554 9600 9750 9984 10176 10200 10320 10335 10400 10600 10608 10750 10812 10880 10959 10965 11008 11024 11050 11180 11240 11271 11395 11560 11696 11713 12000 12083 12427 12480 12720 12750 12900 13000 13056 13250 13260 13416 13488 13515 13568 13600 13674 13760 13780 13872 13975 14050 14144 14331 14416 14450 14612 14620 14893 15028 15317 15600 15900 16000 16125 16320 16512 16536 16575 16640 16770 16860 16960 17000 17200 17225 17340 17544 17680 17888 17984 18020 18232 18265 18275 18496 18785 19006 19108 19200 19500 19875 20352 20400 20640 20670 20800 21075 21200 21216 21500 21624 21675 21760 21918 21930 22048 22100 22360 22480 22525 22542 22790 23120 23392 23426 23885 24000 24166 24854 24960 25440 25500 25800 26000 26500 26520 26832 26976 27030 27200 27348 27520 27560 27625 27744 27950 28100 28288 28509 28662 28832 28900 29224 29240 29627 29786 30056 30634 31200 31800 32000 32250 32640 33024 33072 33150 33540 33720 33920 34000 34185 34400 34450 34680 35088 35125 35139 35360 35776 35968 36040 36125 36249 36464 36530 36550 36992 37281 37570 38012 38216 38743 39000 39750 40704 40800 41280 41340 41600 41925 42150 42400 42432 43000 43248 43350 43836 43860 44096 44200 44679 44720 44960 45050 45084 45580 45951 46240 46784 46852 47515 47770 48000 48332 49708 49920 50880 51000 51600 51675 52000 53000 53040 53664 53952 54060 54400 54696 54795 54825 55040 55120 55250 55488 55900 56200 56355 56576 56975 57018 57324 57664 57800 58448 58480 58565 59254 59572 60112 60415 61268 62101 62135 62400 63600 64500 65280 66144 66300 67080 67440 67575 67840 68000 68370 68800 68900 69360 69875 70176 70250 70278 70720 71552 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726333296000 740301244000 769913293760 799217952000 821971488000 849169074000 871599955200 888361492800 895248016000 902242141125 905780345600 923895952512 962391617200 1045131168000 1074297619200 1089499944000 1110451866000 1132225432000 1154869940640 1184481990400 1202989521500 1342872024000 1358670518400 1443587425800 1452666592000 1480602488000 1539826587520 1698338148000 1776722985600 1790496032000 1804484282250 1847791905024 1924783234400 2178999888000 2220903732000 2264450864000 2309739881280 2405979043000 2685744048000 2717341036800 2887174851600 2961204976000 3079653175040 3396676296000 3553445971200 3608968564500 3849566468800 4357999776000 4441807464000 4528901728000 4619479762560 4811958086000 5371488096000 5774349703200 5922409952000 6793352592000 7217937129000 7699132937600 8883614928000 9238959525120 9623916172000 11548699406400 13586705184000 14435874258000 15398265875200 17767229856000 19247832344000 23097398812800 28871748516000 38495664688000 46194797625600 57743497032000 76991329376000 115486994064000 230973988128000
- Sum of all divisors σ(n): 918263761519104
- Sum of proper divisors (its aliquot sum) s(n): 687289773391104
- 230973988128000 is an abundant number, because the sum of its proper divisors (687289773391104) is greater than itself. Its abundance is 456315785263104
Bases of 230973988128000
- Binary: 1101001000010001110100101000001111000101000000002
- Hexadecimal: 0xD211D283C500
- Base-36: 29VFZGYJUO
Squares and roots of 230973988128000
- 230973988128000 squared (2309739881280002) is 53348983191753484944384000000
- 230973988128000 cubed (2309739881280003) is 12322227410372940979046776756273152000000000
-
The
square root of 230973988128000 is 15197828.4017158189 -
The
cube root of 230973988128000 is 61355.6212301163
Scales and comparisons
How big is 230973988128000?- 230,973,988,128,000 seconds is equal to 7,344,258 years, 19 weeks, 2 days, 18 hours, 40 minutes.
-
To count from 1 to 230,973,988,128,000 would take you about eighteen million, three hundred sixty thousand, six hundred forty-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 230973988128000 cubic inches would be around 5113 feet tall.
Recreational maths with 230973988128000
- 230973988128000 backwards is 000821889379032
- 230973988128000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 230973988128000's digits is 60
- More coming soon!
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"Number 230973988128000 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 230973988128000 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/230973988128000/
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The information we have on file for 230973988128000 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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