428090436744729616
428,090,436,744,729,616 is an even composite number composed of five prime numbers multiplied together.
What does the number 428090436744729616 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1125 divisors.
428090436744729616 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred twenty-five divisors.
Prime factorization of 428090436744729616:
24 × 114 × 134 × 192 × 4212
(2 × 2 × 2 × 2 × 11 × 11 × 11 × 11 × 13 × 13 × 13 × 13 × 19 × 19 × 421 × 421)See below for interesting mathematical facts about the number 428090436744729616 from the Numbermatics database.
Names of 428090436744729616
- Cardinal: 428090436744729616 can be written as Four hundred twenty-eight quadrillion, ninety trillion, four hundred thirty-six billion, seven hundred forty-four million, seven hundred twenty-nine thousand, six hundred sixteen.
Scientific notation
- Scientific notation: 4.28090436744729616 × 1017
Factors of 428090436744729616
Divisors of 428090436744729616
- Number of divisors d(n): 1125
-
Complete list of divisors:
1 2 4 8 11 13 16 19 22 26 38 44 52 76 88 104 121 143 152 169 176 208 209 242 247 286 304 338 361 418 421 484 494 572 676 722 836 842 968 988 1144 1331 1352 1444 1573 1672 1684 1859 1936 1976 2197 2288 2299 2662 2704 2717 2888 3146 3211 3344 3368 3718 3952 3971 4394 4598 4631 4693 5324 5434 5473 5776 6292 6422 6736 7436 7942 7999 8788 9196 9262 9386 10648 10868 10946 12584 12844 14641 14872 15884 15998 17303 17576 18392 18524 18772 20449 21296 21736 21892 24167 25168 25289 25688 28561 29282 29744 29887 31768 31996 34606 35152 35321 36784 37048 37544 40898 41743 43472 43681 43784 48334 50578 50941 51376 51623 57122 58564 59774 60203 61009 63536 63992 69212 70642 71149 74096 75088 81796 83486 87362 87568 87989 96668 101156 101882 103246 103987 114244 117128 119548 120406 122018 127984 138424 141284 142298 151981 163592 166972 174724 175978 177241 190333 193336 202312 203764 206492 207974 224939 228488 234256 239096 240812 244036 265837 276848 278179 282568 284596 303962 314171 327184 328757 333944 349448 351956 354482 380666 386672 388531 404624 407528 412984 415948 449878 456976 459173 478192 480491 481624 488072 531674 542659 556358 560351 565136 567853 569192 607924 628342 657514 662233 667888 671099 698896 703912 708964 761332 777062 782639 793117 815056 825968 831896 899756 918346 924937 960982 963248 967879 976144 1063348 1085318 1112716 1120702 1135706 1138384 1143857 1215848 1256684 1315028 1324466 1342198 1351831 1407824 1417928 1522664 1554124 1565278 1586234 1663792 1671791 1799512 1836692 1849874 1921964 1935758 1949651 1975753 2126696 2170636 2225432 2241404 2271412 2287714 2304133 2431696 2474329 2513368 2630056 2648932 2684396 2703662 2835856 2924207 3045328 3108248 3130556 3172468 3343582 3367579 3455881 3599024 3616327 3673384 3699748 3843928 3871516 3899302 3951506 4253392 4273841 4341272 4450864 4482808 4542824 4575428 4608266 4948658 5026736 5050903 5260112 5285401 5297864 5368792 5407324 5848414 5969249 6163861 6216496 6246383 6261112 6344936 6687164 6735158 6911762 7232654 7284563 7346768 7382089 7399496 7687856 7743032 7798604 7903012 8547682 8609029 8682544 8724287 8965616 9085648 9150856 9216532 9897316 10101806 10174307 10310521 10570802 10595728 10646669 10737584 10814648 11696828 11938498 12024181 12327722 12492766 12522224 12582427 12689872 13374328 13470316 13823524 14465308 14569126 14764178 14798992 14870141 15486064 15597208 15806024 17095364 17218058 17448574 17573803 18301712 18389701 18433064 19794632 20203612 20348614 20621042 21141604 21293338 21446161 21629296 21733283 23393656 23876996 24048362 24655444 24985532 25164854 25345463 25684789 26748656 26940632 27647048 28930616 29138252 29528356 29740282 29953729 31194416 31612048 32166277 34190728 34436116 34897148 35147606 36779402 36866128 37043369 38014691 39589264 40407224 40697228 41242084 42283208 42586676 42892322 43466566 43778527 46787312 47012251 47753992 48096724 49310888 49971064 50329708 50690926 51369578 53881264 55294096 55559933 57861232 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17009314873837 17713842708848 19554651778948 19694996169706 20101917578171 20934541383184 22804732407028 23110043011484 23275904564198 24356533724666 24740821634672 26758997171192 26951047390124 28784994401878 29239152840976 33329993517964 34018629747674 39109303557896 39389992339412 40203835156342 45609464814056 46220086022968 46551809128396 48713067449332 53517994342384 53902094780248 57569988803756 63552618281581 66659987035928 68037259495348 74115380322841 78218607115792 78779984678824 80407670312684 91218929628112 92440172045936 93103618256792 97426134898664 107804189560496 108322478933383 115139977607512 127105236563162 128017475103089 133319974071856 136074518990696 148230760645682 157559969357648 158317469210329 160815340625368 186207236513584 187102463612207 194852269797328 216644957866766 221121093359881 230279955215024 254210473126324 256034950206178 272149037981392 296461521291364 316634938420658 321630681250736 374204927224414 433289915733532 442242186719762 508420946252648 512069900412356 592923042582728 633269876841316 748409854448828 866579831467064 884484373439524 1016841892505296 1024139800824712 1185846085165456 1266539753682632 1408192226133979 1496819708897656 1733159662934128 1768968746879048 2048279601649424 2058127099734277 2432332026958691 2533079507365264 2816384452267958 2993639417795312 3537937493758096 4116254199468554 4864664053917382 5632768904535916 8232508398937108 9729328107834764 11265537809071832 16465016797874216 19458656215669528 22531075618143664 26755652296545601 32930033595748432 38917312431339056 53511304593091202 107022609186182404 214045218372364808 428090436744729616
- Sum of all divisors σ(n): 1045631687126714865
- Sum of proper divisors (its aliquot sum) s(n): 617541250381985249
- 428090436744729616 is an abundant number, because the sum of its proper divisors (617541250381985249) is greater than itself. Its abundance is 189450813637255633
Bases of 428090436744729616
- Binary: 101111100001110000111111011111011011110100101010100000100002
- Hexadecimal: 0x5F0E1FBEDE95410
- Base-36: 3935E7OUA1HS
Squares and roots of 428090436744729616
- 428090436744729616 squared (4280904367447296162) is 183261422032293348585727352947507456
- 428090436744729616 cubed (4280904367447296163) is 78452462196264674133687770992027226593584511864016896
-
428090436744729616 is a
perfect square number . Itssquare root is 654286204 -
The
cube root of 428090436744729616 is 753665.2802230089
Scales and comparisons
How big is 428090436744729616?- 428,090,436,744,729,616 seconds is equal to 13,611,951,717 years, 42 weeks, 4 days, 5 hours, 20 minutes, 16 seconds.
-
To count from 1 to 428,090,436,744,729,616 would take you about forty billion, eight hundred thirty-five million, eight hundred fifty-five thousand, one hundred fifty-three 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 428090436744729616 cubic inches would be around 62805.4 feet tall.
Recreational maths with 428090436744729616
- 428090436744729616 backwards is 616927447634090824
- The number of decimal digits it has is: 18
- The sum of 428090436744729616's digits is 82
- More coming soon!
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Numbermatics. (2024). Number 428090436744729616 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/428090436744729616/
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The information we have on file for 428090436744729616 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 428090436744729616, math, Factors of 428090436744729616, curriculum, school, college, exams, university, Prime factorization of 428090436744729616, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight quadrillion, ninety trillion, four hundred thirty-six billion, seven hundred forty-four million, seven hundred twenty-nine thousand, six hundred sixteen.