230024358720
230,024,358,720 is an even composite number composed of seven prime numbers multiplied together.
What does the number 230024358720 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1008 divisors.
230024358720 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 230024358720:
26 × 32 × 5 × 132 × 37 × 53 × 241
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 13 × 37 × 53 × 241)See below for interesting mathematical facts about the number 230024358720 from the Numbermatics database.
Names of 230024358720
- Cardinal: 230024358720 can be written as Two hundred thirty billion, twenty-four million, three hundred fifty-eight thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 2.3002435872 × 1011
Factors of 230024358720
Divisors of 230024358720
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 37 39 40 45 48 52 53 60 64 65 72 74 78 80 90 96 104 106 111 117 120 130 144 148 156 159 160 169 180 185 192 195 208 212 222 234 240 241 260 265 288 296 312 318 320 333 338 360 370 390 416 424 444 468 477 480 481 482 507 520 530 555 576 585 592 624 636 666 676 689 720 723 740 780 795 832 845 848 888 936 954 960 962 964 1014 1040 1060 1110 1170 1184 1205 1248 1272 1332 1352 1378 1440 1443 1446 1480 1521 1560 1590 1665 1690 1696 1776 1872 1908 1924 1928 1961 2028 2067 2080 2120 2169 2220 2340 2368 2385 2405 2410 2496 2535 2544 2664 2704 2756 2880 2886 2892 2960 3042 3120 3133 3180 3330 3380 3392 3445 3552 3615 3744 3816 3848 3856 3922 4056 4134 4160 4240 4329 4338 4440 4680 4770 4810 4820 5070 5088 5328 5408 5512 5772 5784 5883 5920 6084 6201 6240 6253 6266 6360 6660 6760 6890 7104 7215 7230 7488 7605 7632 7696 7712 7844 8112 8268 8480 8658 8676 8880 8917 8957 9360 9399 9540 9620 9640 9805 10140 10176 10335 10656 10816 10845 11024 11544 11568 11766 11840 12168 12402 12480 12506 12532 12720 12773 13320 13520 13780 14430 14460 15210 15264 15392 15424 15665 15688 16224 16536 16960 17316 17352 17649 17760 17834 17914 18720 18759 18798 19080 19240 19280 19610 20280 20670 21312 21645 21690 22048 23088 23136 23532 24336 24804 25012 25064 25440 25493 25546 26640 26751 26871 27040 27560 28197 28860 28920 29415 30420 30528 30784 31005 31265 31330 31376 32448 33072 34632 34704 35298 35520 35668 35828 37440 37518 37596 38160 38319 38480 38560 39220 40560 40729 41340 43290 43380 44096 44585 44785 46176 46272 46995 47064 48672 49608 50024 50128 50880 50986 51092 53280 53502 53742 54080 55120 56277 56394 57720 57840 58830 60840 62010 62530 62660 62752 63865 66144 69264 69408 70596 71336 71656 75036 75192 76320 76479 76638 76960 77120 78440 80253 80613 81120 81458 82680 86580 86760 88245 89170 89570 92352 93795 93990 94128 97344 99216 100048 100256 101972 102184 106560 107004 107484 110240 112554 112788 114957 115440 115680 115921 117660 121680 122187 124020 125060 125320 125504 127465 127730 132288 133755 134355 138528 138816 140985 141192 142672 143312 150072 150384 152640 152958 153276 153920 156880 160506 161226 162240 162916 165360 166049 173160 173520 176490 178340 179140 187590 187980 188256 191595 198432 200096 200512 203645 203944 204368 214008 214968 220480 225108 225576 229437 229914 230880 231360 231842 235320 243360 244374 248040 250120 250640 254930 255460 267510 268710 277056 281385 281970 282384 285344 286624 300144 300768 305916 306552 313760 321012 322452 325832 330720 331409 332098 346320 347040 347763 352980 356680 358280 366561 375180 375960 376512 382395 383190 396864 400192 401265 403065 407290 407888 408736 428016 429936 450216 451152 458874 459828 461760 463684 470640 472601 486720 488748 496080 498147 500240 501280 509860 510920 535020 537420 562770 563940 564768 570688 573248 574785 579605 600288 601536 610935 611832 613104 627520 642024 644904 651664 661440 662818 664196 692640 694080 695526 705960 713360 716560 733122 750360 751920 764790 766380 802530 806130 814580 815776 817472 830245 856032 859872 900432 902304 917748 919656 927368 941280 945202 977496 992160 994227 996294 1000480 1002560 1019720 1021840 1043289 1070040 1074840 1125540 1127880 1129536 1147185 1149570 1159210 1200576 1221870 1223664 1226208 1284048 1289808 1303328 1325636 1328392 1385280 1391052 1411920 1417803 1426720 1433120 1466244 1494441 1500720 1503840 1506973 1529580 1532760 1605060 1612260 1629160 1631552 1657045 1660490 1712064 1719744 1738815 1800864 1804608 1832805 1835496 1839312 1854736 1882560 1890404 1954992 1984320 1988454 1992588 2000960 2039440 2043680 2086578 2140080 2149680 2158637 2251080 2255760 2294370 2299140 2318420 2363005 2443740 2447328 2452416 2490735 2568096 2579616 2606656 2651272 2656784 2782104 2823840 2835606 2853440 2866240 2932488 2982681 2988882 3001440 3007680 3013946 3059160 3065520 3210120 3224520 3258320 3314090 3320980 3477630 3601728 3665610 3670992 3678624 3709472 3780808 3909984 3976908 3985176 4078880 4087360 4173156 4253409 4280160 4299360 4317274 4502160 4511520 4520919 4588740 4598280 4636840 4726010 4887480 4894656 4971135 4981470 5136192 5159232 5216445 5302544 5313568 5564208 5647680 5671212 5864976 5965362 5977764 6002880 6027892 6118320 6131040 6143813 6420240 6449040 6475911 6516640 6628180 6641960 6955260 7089015 7331220 7341984 7357248 7418944 7472205 7534865 7561616 7819968 7953816 7970352 8157760 8346312 8506818 8560320 8598720 8634548 9004320 9023040 9041838 9177480 9196560 9273680 9452020 9774960 9942270 9962940 10432890 10605088 10627136 10793185 11128416 11342424 11729952 11930724 11955528 12055784 12236640 12262080 12287626 12840480 12898080 12951822 13033280 13256360 13283920 13562757 13910520 14178030 14662440 14683968 14913405 14944410 15069730 15123232 15907632 15940704 16692624 17013636 17269096 18008640 18083676 18354960 18393120 18431439 18547360 18904040 19427733 19549920 19884540 19925880 20865780 21210176 21267045 21586370 22256832 22604595 22684848 23459904 23861448 23911056 24111568 24473280 24575252 25680960 25796160 25903644 26512720 26567840 27125514 27821040 28356060 29324880 29826810 29888820 30139460 30246464 30719065 31815264 31881408 32379555 33385248 34027272 34538192 36167352 36709920 36786240 36862878 37094720 37808080 38855466 39099840 39769080 39851760 41731560 42534090 43172740 45209190 45369696 47722896 47822112 48223136 49150504 51807288 53025440 53135680 54251028 55294317 55642080 56712120 58649760 59653620 59777640 60278920 61438130 63630528 64759110 66770496 67813785 68054544 69076384 72334704 73419840 73725756 75616160 77710932 79538160 79703520 79869569 83463120 85068180 86345480 90418380 90739392 92157195 95445792 95644224 96446272 97138665 98301008 103614576 106050880 108502056 110588634 111284160 113424240 117299520 119307240 119555280 120557840 122876260 129518220 135627570 136109088 138152768 144669408 147451512 151232320 155421864 159076320 159407040 159739138 166926240 170136360 172690960 180836760 184314390 190891584 194277330 196602016 207229152 217004112 221177268 226848480 238614480 239110560 239608707 241115680 245752520 259036440 271255140 272218176 276471585 289338816 294903024 310843728 318152640 319478276 333852480 340272720 345381920 361673520 368628780 388554660 393204032 399347845 414458304 434008224 442354536 453696960 477228960 478221120 479217414 482231360 491505040 518072880 542510280 552943170 589806048 621687456 638956552 680545440 690763840 718826121 723347040 737257560 777109320 798695690 868016448 884709072 954457920 958434828 983010080 1036145760 1085020560 1105886340 1179612096 1198043535 1243374912 1277913104 1361090880 1437652242 1446694080 1474515120 1554218640 1597391380 1769418144 1916869656 1966020160 2072291520 2170041120 2211772680 2396087070 2555826208 2875304484 2949030240 3108437280 3194782760 3538836288 3594130605 3833739312 4340082240 4423545360 4792174140 5111652416 5750608968 5898060480 6216874560 6389565520 7188261210 7667478624 8847090720 9584348280 11501217936 12779131040 14376522420 15334957248 17694181440 19168696560 23002435872 25558262080 28753044840 38337393120 46004871744 57506089680 76674786240 115012179360 230024358720
- Sum of all divisors σ(n): 900206482032
- Sum of proper divisors (its aliquot sum) s(n): 670182123312
- 230024358720 is an abundant number, because the sum of its proper divisors (670182123312) is greater than itself. Its abundance is 440157764592
Bases of 230024358720
- Binary: 110101100011101000010100101011010000002
- Hexadecimal: 0x358E852B40
- Base-36: 2XO6KB40
Squares and roots of 230024358720
- 230024358720 squared (2300243587202) is 52911205604547240038400
- 230024358720 cubed (2300243587203) is 12170866138288048805778868174848000
-
The
square root of 230024358720 is 479608.5473800483 -
The
cube root of 230024358720 is 6127.1419633423
Scales and comparisons
How big is 230024358720?- 230,024,358,720 seconds is equal to 7,314 years, 3 weeks, 1 day, 23 hours, 12 minutes.
-
To count from 1 to 230,024,358,720 would take you about fourteen thousand, six hundred twenty-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 230024358720 cubic inches would be around 510.6 feet tall.
Recreational maths with 230024358720
- 230024358720 backwards is 027853420032
- 230024358720 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 230024358720's digits is 36
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 230024358720 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 230024358720 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/230024358720/
Chicago style:
Numbermatics. 2024. "Number 230024358720 - Facts about the integer". https://numbermatics.com/n/230024358720/
The information we have on file for 230024358720 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 230024358720, math, Factors of 230024358720, curriculum, school, college, exams, university, Prime factorization of 230024358720, STEM, science, technology, engineering, physics, economics, calculator, two hundred thirty billion, twenty-four million, three hundred fifty-eight thousand, seven hundred twenty.