428201375616
428,201,375,616 is an even composite number composed of four prime numbers multiplied together.
428201375616 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 428201375616:
27 × 34 × 73 × 3472
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 347 × 347)See below for interesting mathematical facts about the number 428201375616 from the Numbermatics database.
Names of 428201375616
- Cardinal: 428201375616 can be written as Four hundred twenty-eight billion, two hundred one million, three hundred seventy-five thousand, six hundred sixteen.
Scientific notation
- Scientific notation: 4.28201375616 × 1011
Factors of 428201375616
Divisors of 428201375616
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 98 108 112 126 128 144 147 162 168 189 192 196 216 224 252 288 294 324 336 343 347 378 384 392 432 441 448 504 567 576 588 648 672 686 694 756 784 864 882 896 1008 1029 1041 1134 1152 1176 1296 1323 1344 1372 1388 1512 1568 1728 1764 2016 2058 2082 2268 2352 2429 2592 2646 2688 2744 2776 3024 3087 3123 3136 3456 3528 3969 4032 4116 4164 4536 4704 4858 5184 5292 5488 5552 6048 6174 6246 6272 7056 7287 7938 8064 8232 8328 9072 9261 9369 9408 9716 10368 10584 10976 11104 12096 12348 12492 14112 14574 15876 16464 16656 17003 18144 18522 18738 18816 19432 21168 21861 21952 22208 24192 24696 24984 27783 28107 28224 29148 31752 32928 33312 34006 36288 37044 37476 38864 42336 43722 43904 44416 49392 49968 51009 55566 56214 56448 58296 63504 65583 65856 66624 68012 72576 74088 74952 77728 84672 87444 98784 99936 102018 111132 112428 116592 119021 120409 127008 131166 131712 133248 136024 148176 149904 153027 155456 169344 174888 196749 197568 199872 204036 222264 224856 233184 238042 240818 254016 262332 272048 296352 299808 306054 310912 349776 357063 361227 393498 395136 399744 408072 444528 449712 459081 466368 476084 481636 508032 524664 544096 592704 599616 612108 699552 714126 722454 786996 816144 842863 889056 899424 918162 932736 952168 963272 1049328 1071189 1083681 1088192 1185408 1199232 1224216 1377243 1399104 1428252 1444908 1573992 1632288 1685726 1778112 1798848 1836324 1904336 1926544 2098656 2142378 2167362 2176384 2448432 2528589 2754486 2798208 2856504 2889816 3147984 3213567 3251043 3264576 3371452 3556224 3597696 3672648 3808672 3853088 4197312 4284756 4334724 4896864 5057178 5508972 5713008 5779632 5900041 6295968 6427134 6502086 6529152 6742904 7345296 7585767 7617344 7706176 8394624 8569512 8669448 9640701 9753129 9793728 10114356 11017944 11426016 11559264 11800082 12591936 12854268 13004172 13485808 14690592 15171534 15234688 15412352 17139024 17338896 17700123 19281402 19506258 19587456 20228712 22035888 22757301 22852032 23118528 23600164 25183872 25708536 26008344 26971616 29381184 30343068 34278048 34677792 35400246 38562804 39012516 40457424 41300287 44071776 45514602 45704064 46237056 47200328 51417072 52016688 53100369 53943232 58762368 60686136 68271903 68556096 69355584 70800492 77125608 78025032 80914848 82600574 88143552 91029204 94400656 102834144 104033376 106200738 107886464 121372272 123900861 136543806 137112192 138711168 141600984 154251216 156050064 159301107 161829696 165201148 176287104 182058408 188801312 205668288 208066752 212401476 242744544 247801722 273087612 283201968 308502432 312100128 318602214 323659392 330402296 364116816 371702583 377602624 411336576 416133504 424802952 477903321 485489088 495603444 546175224 566403936 617004864 624200256 637204428 660804592 728233632 743405166 755205248 849605904 955806642 970978176 991206888 1092350448 1115107749 1132807872 1234009728 1248400512 1274408856 1321609184 1456467264 1486810332 1699211808 1911613284 1982413776 2184700896 2230215498 2265615744 2548817712 2643218368 2912934528 2973620664 3345323247 3398423616 3823226568 3964827552 4369401792 4460430996 5097635424 5286436736 5947241328 6690646494 6796847232 7646453136 7929655104 8738803584 8920861992 10195270848 11894482656 13381292988 15292906272 15859310208 17841723984 20390541696 23788965312 26762585976 30585812544 35683447968 47577930624 53525171952 61171625088 71366895936 107050343904 142733791872 214100687808 428201375616
- Sum of all divisors σ(n): 1490382894000
- Sum of proper divisors (its aliquot sum) s(n): 1062181518384
- 428201375616 is an abundant number, because the sum of its proper divisors (1062181518384) is greater than itself. Its abundance is 633980142768
Bases of 428201375616
- Binary: 1100011101100101100101001110111100000002
- Hexadecimal: 0x63B2CA7780
- Base-36: 5GPO1K00
Squares and roots of 428201375616
- 428201375616 squared (4282013756162) is 183356418079434719379456
- 428201375616 cubed (4282013756163) is 78513470449636359597953993089744896
-
The
square root of 428201375616 is 654370.9770581211 -
The
cube root of 428201375616 is 7537.3037826993
Scales and comparisons
How big is 428201375616?- 428,201,375,616 seconds is equal to 13,615 years, 24 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 428,201,375,616 would take you about twenty-seven thousand, two hundred thirty 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 428201375616 cubic inches would be around 628.1 feet tall.
Recreational maths with 428201375616
- 428201375616 backwards is 616573102824
- The number of decimal digits it has is: 12
- The sum of 428201375616's digits is 45
- More coming soon!
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