230469948800
230,469,948,800 is an even composite number composed of seven prime numbers multiplied together.
230469948800 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 230469948800:
27 × 52 × 7 × 13 × 53 × 109 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 53 × 109 × 137)See below for interesting mathematical facts about the number 230469948800 from the Numbermatics database.
Names of 230469948800
- Cardinal: 230469948800 can be written as Two hundred thirty billion, four hundred sixty-nine million, nine hundred forty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 2.304699488 × 1011
Factors of 230469948800
Divisors of 230469948800
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 53 56 64 65 70 80 91 100 104 106 109 112 128 130 137 140 160 175 182 200 208 212 218 224 260 265 274 280 320 325 350 364 371 400 416 424 436 448 455 520 530 545 548 560 640 650 685 689 700 728 742 763 800 832 848 872 896 910 959 1040 1060 1090 1096 1120 1300 1325 1370 1378 1400 1417 1456 1484 1526 1600 1664 1696 1744 1781 1820 1855 1918 2080 2120 2180 2192 2240 2275 2600 2650 2725 2740 2756 2800 2834 2912 2968 3052 3200 3392 3425 3445 3488 3562 3640 3710 3815 3836 4160 4240 4360 4384 4480 4550 4795 4823 5200 5300 5450 5480 5512 5600 5668 5777 5824 5936 6104 6784 6850 6890 6976 7085 7124 7261 7280 7420 7630 7672 8320 8480 8720 8768 8905 9100 9275 9590 9646 9919 10400 10600 10900 10960 11024 11200 11336 11554 11648 11872 12208 12467 13700 13780 13952 14170 14248 14522 14560 14840 14933 15260 15344 16960 17225 17440 17536 17810 18200 18550 19075 19180 19292 19838 20800 21200 21800 21920 22048 22400 22672 23108 23744 23975 24115 24416 24934 27400 27560 28340 28496 28885 29044 29120 29680 29866 30520 30688 33920 34450 34880 35425 35620 36305 36400 37100 38150 38360 38584 39676 40439 41600 42400 43600 43840 44096 44525 45344 46216 47488 47950 48230 48832 49595 49868 50827 54800 55120 56680 56992 57770 58088 58240 59360 59732 61040 61376 62335 68900 69760 70850 71240 72610 72800 74200 74665 75101 76300 76720 77168 79352 80878 84800 87200 87680 88192 89050 90688 92432 94393 95900 96460 97664 99190 99736 101654 104531 109600 110240 113360 113984 115540 116176 118720 119464 120575 122080 122752 124670 137800 141700 142480 144425 145220 145600 148400 149330 150202 152600 153440 154336 158704 161756 169600 174400 178100 181376 181525 184864 188786 191800 192920 194129 198380 199472 202195 203308 209062 219200 220480 226720 227968 231080 232352 237440 238928 241150 244160 247975 249340 254135 275600 283400 284960 288850 290440 291200 296800 298660 300404 305200 306880 308672 311675 317408 323512 348800 356200 363050 369728 373325 375505 377572 383600 385840 388258 396760 398944 404390 406616 418124 438400 440960 453440 462160 464704 471965 477856 482300 488320 495950 498680 508270 522655 525707 551200 566800 569920 577700 580880 593600 597320 600808 610400 613760 617344 623350 634816 647024 660751 712400 726100 739456 746650 751010 755144 767200 771680 776516 791449 793520 797888 808780 813232 836248 906880 924320 929408 943930 955712 964600 970645 991900 997360 1010975 1016540 1045310 1051414 1102400 1133600 1139840 1155400 1161760 1187200 1194640 1201616 1220800 1246700 1269632 1270675 1294048 1321502 1358903 1424800 1452200 1493300 1502020 1510288 1534400 1543360 1553032 1582898 1587040 1595776 1617560 1626464 1672496 1848640 1877525 1887860 1911424 1929200 1941290 1983800 1994720 2021950 2033080 2090620 2102828 2204800 2267200 2310800 2323520 2359825 2389280 2403232 2441600 2493400 2541350 2588096 2613275 2628535 2643004 2717806 2849600 2904400 2986600 3004040 3020576 3068800 3086720 3106064 3165796 3174080 3235120 3252928 3303755 3344992 3697280 3755050 3775720 3858400 3882580 3957245 3967600 3989440 4043900 4066160 4181240 4205656 4534400 4621600 4647040 4719650 4778560 4806464 4853225 4986800 5082700 5176192 5226550 5257070 5286008 5435612 5540143 5699200 5808800 5973200 6008080 6041152 6212128 6331592 6348160 6470240 6505856 6607510 6689984 6794515 7510100 7551440 7716800 7765160 7914490 7935200 7978880 8087800 8132320 8362480 8411312 9243200 9439300 9557120 9612928 9706450 9973600 10165400 10288837 10453100 10514140 10572016 10871224 11080286 11617600 11946400 12016160 12082304 12424256 12663184 12940480 13142675 13215020 13379968 13589030 15020200 15102880 15433600 15530320 15828980 15870400 16175600 16264640 16518775 16724960 16822624 18486400 18878600 19412900 19786225 19947200 20330800 20577674 20906200 21028280 21144032 21742448 22160572 23235200 23892800 24032320 24848512 25326368 25880960 26285350 26430040 27178060 27700715 30040400 30205760 31060640 31657960 31740800 32351200 32529280 33037550 33449920 33645248 33972575 37757200 38825800 39572450 39894400 40661600 41155348 41812400 42056560 42288064 43484896 44321144 47785600 48064640 50652736 51444185 52570700 52860080 54356120 55401430 60080800 60411520 62121280 63315920 64702400 66075100 66899840 67290496 67945150 72021859 75514400 77651600 79144900 81323200 82310696 83624800 84113120 84576128 86969792 88642288 101305472 102888370 105141400 105720160 108712240 110802860 120161600 124242560 126631840 129404800 132150200 135890300 138503575 144043718 151028800 155303200 158289800 162646400 164621392 167249600 168226240 173939584 177284576 205776740 210282800 211440320 217424480 221605720 240323200 253263680 257220925 264300400 271780600 277007150 288087436 302057600 310606400 316579600 329242784 334499200 336452480 354569152 360109295 411553480 420565600 422880640 434848960 443211440 506527360 514441850 528600800 543561200 554014300 576174872 621212800 633159200 658485568 709138304 720218590 823106960 841131200 869697920 886422880 1028883700 1057201600 1087122400 1108028600 1152349744 1266318400 1316971136 1440437180 1646213920 1682262400 1772845760 1800546475 2057767400 2114403200 2174244800 2216057200 2304699488 2532636800 2880874360 3292427840 3545691520 3601092950 4115534800 4348489600 4432114400 4609398976 5761748720 6584855680 7202185900 8231069600 8864228800 9218797952 11523497440 14404371800 16462139200 17728457600 23046994880 28808743600 32924278400 46093989760 57617487200 115234974400 230469948800
- Sum of all divisors σ(n): 725747299200
- Sum of proper divisors (its aliquot sum) s(n): 495277350400
- 230469948800 is an abundant number, because the sum of its proper divisors (495277350400) is greater than itself. Its abundance is 264807401600
Bases of 230469948800
- Binary: 110101101010010001010001010101100000002
- Hexadecimal: 0x35A9145580
- Base-36: 2XVJUUM8
Squares and roots of 230469948800
- 230469948800 squared (2304699488002) is 53116397299874621440000
- 230469948800 cubed (2304699488003) is 12241733366142562249696182272000000
-
The
square root of 230469948800 is 480072.8578038961 -
The
cube root of 230469948800 is 6131.0957948153
Scales and comparisons
How big is 230469948800?- 230,469,948,800 seconds is equal to 7,328 years, 12 weeks, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 230,469,948,800 would take you about fourteen thousand, six hundred fifty-six 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 230469948800 cubic inches would be around 510.9 feet tall.
Recreational maths with 230469948800
- 230469948800 backwards is 008849964032
- 230469948800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 230469948800's digits is 53
- More coming soon!
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