230648237120
230,648,237,120 is an even composite number composed of six prime numbers multiplied together.
230648237120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 230648237120:
26 × 5 × 73 × 17 × 71 × 1741
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 17 × 71 × 1741)See below for interesting mathematical facts about the number 230648237120 from the Numbermatics database.
Names of 230648237120
- Cardinal: 230648237120 can be written as Two hundred thirty billion, six hundred forty-eight million, two hundred thirty-seven thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.3064823712 × 1011
Factors of 230648237120
Divisors of 230648237120
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 49 56 64 68 70 71 80 85 98 112 119 136 140 142 160 170 196 224 238 245 272 280 284 320 340 343 355 392 448 476 490 497 544 560 568 595 680 686 710 784 833 952 980 994 1088 1120 1136 1190 1207 1360 1372 1420 1568 1666 1715 1741 1904 1960 1988 2240 2272 2380 2414 2485 2720 2744 2840 3136 3332 3430 3479 3482 3808 3920 3976 4165 4544 4760 4828 4970 5440 5488 5680 5831 6035 6664 6860 6958 6964 7616 7840 7952 8330 8449 8705 9520 9656 9940 10976 11360 11662 12070 12187 13328 13720 13916 13928 15680 15904 16660 16898 17395 17410 19040 19312 19880 21952 22720 23324 24140 24353 24374 26656 27440 27832 27856 29155 29597 31808 33320 33796 34790 34820 38080 38624 39760 42245 46648 48280 48706 48748 53312 54880 55664 55712 58310 59143 59194 60935 66640 67592 69580 69640 77248 79520 84490 85309 93296 96560 97412 97496 109760 111328 111424 116620 118286 118388 121765 121870 123611 133280 135184 139160 139280 147985 159040 168980 170618 186592 193120 194824 194992 207179 222656 233240 236572 236776 243530 243740 247222 266560 270368 278320 278560 295715 295970 337960 341236 373184 386240 389648 389984 414001 414358 426545 466480 473144 473552 487060 487480 494444 540736 556640 557120 591430 591940 597163 618055 675920 682472 779296 779968 828002 828716 853090 865277 932960 946288 947104 974120 974960 988888 1035895 1113280 1182860 1183880 1194326 1236110 1351840 1364944 1450253 1558592 1656004 1657432 1706180 1730554 1865920 1892576 1894208 1948240 1949920 1977776 2070005 2071790 2101387 2365720 2367760 2388652 2472220 2703680 2729888 2900506 2985815 3312008 3314864 3412360 3461108 3785152 3896480 3899840 3955552 4140010 4143580 4202774 4326385 4731440 4735520 4777304 4944440 5459776 5801012 5971630 6056939 6624016 6629728 6824720 6922216 7251265 7792960 7911104 8280020 8287160 8405548 8652770 9462880 9471040 9554608 9888880 10151771 10506935 11602024 11943260 12113878 13248032 13259456 13649440 13844432 14502530 14709709 16560040 16574320 16811096 17305540 18925760 19109216 19777760 20303542 21013870 23204048 23886520 24227756 26496064 27298880 27688864 29005060 29419418 30284695 33120080 33148640 33622192 34611080 38218432 39555520 40607084 42027740 42398573 46408096 47773040 48455512 50758855 55377728 58010120 58838836 60569390 66240160 66297280 67244384 69222160 73548545 81214168 84055480 84797146 92816192 95546080 96911024 101517710 102967963 116020240 117677672 121138780 132480320 134488768 138444320 147097090 162428336 168110960 169594292 191092160 193822048 203035420 205935926 211992865 232040480 235355344 242277560 276888640 294194180 324856672 336221920 339188584 387644096 406070840 411871852 423985730 464080960 470710688 484555120 514839815 588388360 649713344 672443840 678377168 720775741 812141680 823743704 847971460 941421376 969110240 1029679630 1176776720 1356754336 1441551482 1624283360 1647487408 1695942920 1938220480 2059359260 2353553440 2713508672 2883102964 3248566720 3294974816 3391885840 3603878705 4118718520 4707106880 5766205928 6589949632 6783771680 7207757410 8237437040 11532411856 13567543360 14415514820 16474874080 23064823712 28831029640 32949748160 46129647424 57662059280 115324118560 230648237120
- Sum of all divisors σ(n): 688126233600
- Sum of proper divisors (its aliquot sum) s(n): 457477996480
- 230648237120 is an abundant number, because the sum of its proper divisors (457477996480) is greater than itself. Its abundance is 226829759360
Bases of 230648237120
- Binary: 110101101100111011010011001100010000002
- Hexadecimal: 0x35B3B4CC40
- Base-36: 2XYI06RK
Squares and roots of 230648237120
- 230648237120 squared (2306482371202) is 53198609286563745894400
- 230648237120 cubed (2306482371203) is 12270165449181588893046997680128000
-
The
square root of 230648237120 is 480258.5107210491 -
The
cube root of 230648237120 is 6132.6763638891
Scales and comparisons
How big is 230648237120?- 230,648,237,120 seconds is equal to 7,333 years, 46 weeks, 5 days, 18 hours, 45 minutes, 20 seconds.
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To count from 1 to 230,648,237,120 would take you about fourteen thousand, six hundred sixty-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 230648237120 cubic inches would be around 511.1 feet tall.
Recreational maths with 230648237120
- 230648237120 backwards is 021732846032
- The number of decimal digits it has is: 12
- The sum of 230648237120's digits is 38
- More coming soon!
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