230464713600
230,464,713,600 is an even composite number composed of six prime numbers multiplied together.
230464713600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 230464713600:
27 × 32 × 52 × 11 × 312 × 757
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 31 × 31 × 757)See below for interesting mathematical facts about the number 230464713600 from the Numbermatics database.
Names of 230464713600
- Cardinal: 230464713600 can be written as Two hundred thirty billion, four hundred sixty-four million, seven hundred thirteen thousand, six hundred.
Scientific notation
- Scientific notation: 2.304647136 × 1011
Factors of 230464713600
Divisors of 230464713600
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 31 32 33 36 40 44 45 48 50 55 60 62 64 66 72 75 80 88 90 93 96 99 100 110 120 124 128 132 144 150 155 160 165 176 180 186 192 198 200 220 225 240 248 264 275 279 288 300 310 320 330 341 352 360 372 384 396 400 440 450 465 480 495 496 528 550 558 576 600 620 640 660 682 704 720 744 757 775 792 800 825 880 900 930 960 961 990 992 1023 1056 1100 1116 1152 1200 1240 1320 1364 1395 1408 1440 1488 1514 1550 1584 1600 1650 1705 1760 1800 1860 1920 1922 1980 1984 2046 2112 2200 2232 2271 2325 2400 2475 2480 2640 2728 2790 2880 2883 2976 3028 3069 3100 3168 3200 3300 3410 3520 3600 3720 3785 3844 3960 3968 4092 4224 4400 4464 4542 4650 4800 4805 4950 4960 5115 5280 5456 5580 5760 5766 5952 6056 6138 6200 6336 6600 6813 6820 6975 7040 7200 7440 7570 7688 7920 8184 8327 8525 8649 8800 8928 9084 9300 9600 9610 9900 9920 10230 10560 10571 10912 11160 11355 11532 11904 12112 12276 12400 12672 13200 13626 13640 13950 14400 14415 14880 15140 15345 15376 15840 16368 16654 17050 17298 17600 17856 18168 18600 18925 19220 19800 19840 20460 21120 21142 21824 22320 22710 23064 23467 24025 24224 24552 24800 24981 25575 26400 27252 27280 27900 28800 28830 29760 30280 30690 30752 31680 31713 32736 33308 34065 34100 34596 35200 35712 36336 37200 37850 38440 39600 40920 41635 42284 43245 43648 44640 45420 46128 46934 48050 48448 49104 49600 49962 51150 52800 52855 54504 54560 55800 56775 57660 59520 60560 61380 61504 63360 63426 65472 66616 68130 68200 69192 70401 72075 72672 74400 74943 75700 76725 76880 79200 81840 83270 84568 86490 89280 90840 92256 93868 95139 96100 96896 98208 99200 99924 102300 105600 105710 109008 109120 111600 113550 115320 117335 121120 122760 123008 124905 126852 130944 133232 136260 136400 138384 140802 144150 145344 148800 149886 151400 153450 153760 158400 158565 163680 166540 169136 170325 172980 178560 181680 184512 187736 190278 192200 196416 199848 204600 208175 211203 211420 216225 218016 218240 223200 227100 230640 234670 242240 245520 249810 253704 258137 264275 266464 272520 272800 276768 281604 288300 290688 297600 299772 302800 306900 307520 316800 317130 327360 333080 338272 340650 345960 352005 363360 369024 374715 375472 380556 384400 392832 399696 409200 416350 422406 422840 432450 436032 446400 454200 461280 469340 475695 484480 491040 499620 507408 516274 528550 532928 545040 545600 553536 563208 576600 586675 599544 605600 613800 615040 624525 634260 654720 666160 676544 681300 691920 704010 726720 727477 749430 750944 761112 768800 774411 792825 799392 818400 832700 844812 845680 864900 872064 892800 908400 922560 938680 951390 982080 999240 1014816 1032548 1056015 1057100 1065856 1090080 1091200 1107072 1126416 1153200 1173350 1199088 1211200 1227600 1249050 1268520 1290685 1332320 1353088 1362600 1383840 1408020 1453440 1454954 1498860 1501888 1522224 1537600 1548822 1585650 1598784 1636800 1665400 1689624 1691360 1729800 1760025 1816800 1845120 1873575 1877360 1902780 1964160 1998480 2029632 2065096 2112030 2114200 2180160 2182431 2252832 2306400 2323233 2346700 2378475 2398176 2422400 2455200 2498100 2537040 2581370 2664640 2725200 2767680 2816040 2909908 2997720 3003776 3044448 3075200 3097644 3171300 3197568 3273600 3330800 3379248 3382720 3459600 3520050 3633600 3637385 3747150 3754720 3805560 3872055 3996960 4059264 4130192 4224060 4228400 4360320 4364862 4505664 4612800 4646466 4693400 4756950 4796352 4910400 4996200 5074080 5162740 5280075 5329280 5450400 5535360 5632080 5819816 5995440 6088896 6195288 6342600 6453425 6547293 6661600 6758496 6765440 6919200 7040100 7267200 7274770 7494300 7509440 7611120 7744110 7993920 8002247 8260384 8448120 8456800 8729724 9011328 9225600 9292932 9386800 9513900 9592704 9820800 9992400 10148160 10325480 10560150 10900800 10912155 11264160 11616165 11639632 11990880 12177792 12390576 12685200 12906850 13094586 13323200 13516992 13838400 14080200 14549540 14988600 15018880 15222240 15488220 15987840 16004494 16520768 16896240 16913600 17459448 18186925 18585864 18773600 19027800 19360275 19984800 20296320 20650960 21120300 21801600 21824310 22528320 23232330 23279264 23981760 24006741 24781152 25370400 25813700 26189172 26646400 27033984 27676800 28160400 29099080 29977200 30444480 30976440 32008988 32736465 33041536 33792480 33827200 34918896 36373850 37171728 37547200 38055600 38720550 39969600 40011235 41301920 42240600 43648620 45056640 46464660 46558528 47963520 48013482 49562304 50740800 51627400 52378344 54560775 56320800 58080825 58198160 59954400 60888960 61952880 64017976 65472930 67584960 69837792 72020223 72747700 74343456 75094400 76111200 77441100 79939200 80022470 82603840 84481200 87297240 92929320 93117056 96026964 99124608 101481600 103254800 104756688 109121550 112641600 116161650 116396320 119908800 120033705 123905760 128035952 130945860 135169920 139675584 144040446 145495400 148686912 152222400 154882200 160044940 163682325 165207680 168962400 174594480 185858640 192053928 200056175 206509600 209513376 218243100 225283200 232323300 232792640 239817600 240067410 247811520 256071904 261891720 279351168 288080892 290990800 297373824 304444800 309764400 320089880 327364650 337924800 349188960 360101115 371717280 384107856 400112350 413019200 419026752 436486200 464646600 465585280 480134820 495623040 512143808 523783440 576161784 581981600 600168525 619528800 640179760 654729300 675849600 698377920 720202230 743434560 768215712 800224700 826038400 838053504 872972400 929293200 960269640 1024287616 1047566880 1152323568 1163963200 1200337050 1239057600 1280359520 1309458600 1396755840 1440404460 1486869120 1536431424 1600449400 1745944800 1800505575 1858586400 1920539280 2095133760 2304647136 2327926400 2400674100 2478115200 2560719040 2618917200 2880808920 3072862848 3200898800 3491889600 3601011150 3717172800 3841078560 4190267520 4609294272 4801348200 5121438080 5237834400 5761617840 6401797600 6983779200 7202022300 7434345600 7682157120 9218588544 9602696400 10475668800 11523235680 12803595200 14404044600 15364314240 19205392800 20951337600 23046471360 25607190400 28808089200 38410785600 46092942720 57616178400 76821571200 115232356800 230464713600
- Sum of all divisors σ(n): 928207186920
- Sum of proper divisors (its aliquot sum) s(n): 697742473320
- 230464713600 is an abundant number, because the sum of its proper divisors (697742473320) is greater than itself. Its abundance is 467277759720
Bases of 230464713600
- Binary: 110101101010001100010001110011100000002
- Hexadecimal: 0x35A8C47380
- Base-36: 2XVGQN40
Squares and roots of 230464713600
- 230464713600 squared (2304647136002) is 53113984214730024960000
- 230464713600 cubed (2304647136003) is 12240899160202676103727251456000000
-
The
square root of 230464713600 is 480067.4052672187 -
The
cube root of 230464713600 is 6131.0493711841
Scales and comparisons
How big is 230464713600?- 230,464,713,600 seconds is equal to 7,328 years, 3 weeks, 2 days, 16 hours.
-
To count from 1 to 230,464,713,600 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 230464713600 cubic inches would be around 510.9 feet tall.
Recreational maths with 230464713600
- 230464713600 backwards is 006317464032
- 230464713600 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 230464713600's digits is 36
- More coming soon!
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