230488924800
230,488,924,800 is an even composite number composed of seven prime numbers multiplied together.
230488924800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 230488924800:
27 × 3 × 52 × 23 × 37 × 89 × 317
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 23 × 37 × 89 × 317)See below for interesting mathematical facts about the number 230488924800 from the Numbermatics database.
Names of 230488924800
- Cardinal: 230488924800 can be written as Two hundred thirty billion, four hundred eighty-eight million, nine hundred twenty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 2.304889248 × 1011
Factors of 230488924800
Divisors of 230488924800
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 37 40 46 48 50 60 64 69 74 75 80 89 92 96 100 111 115 120 128 138 148 150 160 178 184 185 192 200 222 230 240 267 276 296 300 317 320 345 356 368 370 384 400 444 445 460 480 534 552 555 575 592 600 634 640 690 712 736 740 800 851 888 890 920 925 951 960 1068 1104 1110 1150 1184 1200 1268 1335 1380 1424 1472 1480 1585 1600 1702 1725 1776 1780 1840 1850 1902 1920 2047 2136 2208 2220 2225 2300 2368 2400 2536 2553 2670 2760 2775 2848 2944 2960 3170 3200 3293 3404 3450 3552 3560 3680 3700 3804 4094 4255 4272 4416 4440 4450 4600 4736 4755 4800 5072 5106 5340 5520 5550 5696 5920 6141 6340 6586 6675 6808 6900 7104 7120 7291 7360 7400 7608 7925 8188 8510 8544 8832 8880 8900 9200 9510 9600 9879 10144 10212 10235 10680 11040 11100 11392 11729 11840 12282 12680 12765 13172 13350 13616 13800 14208 14240 14582 14720 14800 15216 15850 16376 16465 17020 17088 17760 17800 18400 19020 19758 20288 20424 20470 21275 21360 21873 22080 22200 23458 23680 23775 24564 25360 25530 26344 26700 27232 27600 28213 28480 29164 29600 30432 30705 31700 32752 32930 34040 34176 35187 35520 35600 36455 36800 38040 39516 40576 40848 40940 42550 42720 43746 44160 44400 46916 47550 49128 49395 50720 51060 51175 52688 53400 54464 55200 56426 56960 58328 58645 59200 60864 61410 63400 63825 65504 65860 68080 70374 71040 71200 72910 73600 75739 76080 79032 81696 81880 82325 84639 85100 85440 87492 88800 93832 95100 98256 98790 101440 102120 102350 105376 106800 108928 109365 110400 112852 116656 117290 118400 121728 122820 126800 127650 131008 131720 136160 140748 141065 142400 145820 151478 152160 153525 158064 163392 163760 164650 169278 170200 170880 174984 175935 177600 182275 187664 190200 196512 197580 202880 204240 204700 210752 213600 218730 220800 225704 227217 233312 234580 245640 246975 253600 255300 262016 263440 269767 272320 281496 282130 284800 291640 293225 302956 304320 307050 316128 326784 327520 329300 338556 340400 349968 351870 355200 364550 375328 378695 380400 393024 395160 408480 409400 421504 423195 427200 437460 451408 454434 466624 469160 491280 493950 507200 510600 526880 539534 544640 546825 562992 564260 583280 586450 605912 608640 614100 632256 648899 655040 658600 677112 680800 699936 703740 705325 729100 750656 757390 760800 786048 790320 809301 816960 818800 846390 854400 874920 879675 902816 908868 933248 938320 982560 987900 1014400 1021200 1043881 1053760 1079068 1093650 1125984 1128520 1136085 1166560 1172900 1211824 1228200 1264512 1297798 1310080 1317200 1348835 1354224 1361600 1399872 1407480 1410650 1458200 1501312 1514780 1521600 1580640 1618602 1633920 1637600 1692780 1749840 1759350 1805632 1817736 1876640 1893475 1946697 1965120 1975800 2042400 2087762 2107520 2115975 2158136 2187300 2251968 2257040 2272170 2333120 2345800 2423648 2456400 2595596 2634400 2697670 2708448 2723200 2799744 2814960 2821300 2916400 3029560 3043200 3131643 3161280 3237204 3244495 3275200 3385560 3499680 3518700 3611264 3635472 3753280 3786950 3893394 3930240 3951600 4046505 4084800 4175524 4231950 4316272 4374600 4503936 4514080 4544340 4666240 4691600 4847296 4912800 5191192 5219405 5268800 5395340 5416896 5629920 5642600 5680425 5832800 6059120 6263286 6322560 6474408 6488990 6550400 6744175 6771120 6999360 7037400 7270944 7506560 7573900 7786788 7903200 8093010 8169600 8351048 8463900 8632544 8749200 9028160 9088680 9383200 9694592 9733485 9825600 10382384 10438810 10537600 10790680 10833792 11259840 11285200 11360850 11665600 12118240 12526572 12948816 12977980 13488350 13542240 13998720 14074800 14541888 15147800 15573576 15658215 15806400 16186020 16222475 16702096 16927800 17265088 17498400 18056320 18177360 18766400 19466970 19651200 20232525 20764768 20877620 21581360 22519680 22570400 22721700 23331200 24009263 24236480 25053144 25897632 25955960 26097025 26976700 27084480 28149600 29083776 30295600 31147152 31316430 31612800 32372040 32444950 33404192 33855600 34530176 34996800 36354720 37532800 38933940 40465050 41529536 41755240 43162720 45140800 45443400 48018526 48472960 48667425 50106288 51795264 51911920 52194050 53953400 54168960 56299200 60591200 62294304 62632860 64744080 64889900 66808384 67711200 69993600 72027789 72709440 77867880 78291075 80930100 83059072 83510480 86325440 90281600 90886800 96037052 97334850 100212576 103590528 103823840 104388100 107906800 112598400 120046315 121182400 124588608 125265720 129488160 129779800 133616768 135422400 144055578 145418880 155735760 156582150 161860200 167020960 172650880 181773600 192074104 194669700 200425152 207647680 208776200 215813600 240092630 242364800 249177216 250531440 258976320 259559600 270844800 288111156 311471520 313164300 323720400 334041920 360138945 363547200 384148208 389339400 400850304 415295360 417552400 431627200 480185260 501062880 517952640 519119200 576222312 600231575 622943040 626328600 647440800 668083840 720277890 727094400 768296416 778678800 835104800 863254400 960370520 1002125760 1038238400 1152444624 1200463150 1245886080 1252657200 1294881600 1440555780 1536592832 1557357600 1670209600 1800694725 1920741040 2004251520 2076476800 2304889248 2400926300 2505314400 2589763200 2881111560 3073185664 3114715200 3340419200 3601389450 3841482080 4609778496 4801852600 5010628800 5762223120 6229430400 7202778900 7682964160 9219556992 9603705200 10021257600 11524446240 14405557800 15365928320 19207410400 23048892480 28811115600 38414820800 46097784960 57622231200 76829641600 115244462400 230488924800
- Sum of all divisors σ(n): 825327532800
- Sum of proper divisors (its aliquot sum) s(n): 594838608000
- 230488924800 is an abundant number, because the sum of its proper divisors (594838608000) is greater than itself. Its abundance is 364349683200
Bases of 230488924800
- Binary: 110101101010100011010111100010100000002
- Hexadecimal: 0x35AA35E280
- Base-36: 2XVV5KLC
Squares and roots of 230488924800
- 230488924800 squared (2304889248002) is 53125144455460055040000
- 230488924800 cubed (2304889248003) is 12244757425383669575518420992000000
-
The
square root of 230488924800 is 480092.6210638943 -
The
cube root of 230488924800 is 6131.2640603983
Scales and comparisons
How big is 230488924800?- 230,488,924,800 seconds is equal to 7,328 years, 43 weeks, 2 days, 21 hours, 20 minutes.
-
To count from 1 to 230,488,924,800 would take you about fourteen thousand, six hundred fifty-seven 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 230488924800 cubic inches would be around 510.9 feet tall.
Recreational maths with 230488924800
- 230488924800 backwards is 008429884032
- 230488924800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 230488924800's digits is 48
- More coming soon!
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