428368944640
428,368,944,640 is an even composite number composed of seven prime numbers multiplied together.
What does the number 428368944640 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
428368944640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 428368944640:
29 × 5 × 72 × 13 × 41 × 43 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 13 × 41 × 43 × 149)See below for interesting mathematical facts about the number 428368944640 from the Numbermatics database.
Names of 428368944640
- Cardinal: 428368944640 can be written as Four hundred twenty-eight billion, three hundred sixty-eight million, nine hundred forty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.2836894464 × 1011
Factors of 428368944640
Divisors of 428368944640
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 41 43 49 52 56 64 65 70 80 82 86 91 98 104 112 128 130 140 149 160 164 172 182 196 205 208 215 224 245 256 260 280 287 298 301 320 328 344 364 392 410 416 430 448 455 490 512 520 533 559 560 574 596 602 637 640 656 688 728 745 784 820 832 860 896 910 980 1040 1043 1066 1118 1120 1148 1192 1204 1274 1280 1312 1376 1435 1456 1490 1505 1568 1640 1664 1720 1763 1792 1820 1937 1960 2009 2080 2086 2107 2132 2236 2240 2296 2384 2408 2548 2560 2624 2665 2752 2795 2870 2912 2980 3010 3136 3185 3280 3328 3440 3526 3584 3640 3731 3874 3913 3920 4018 4160 4172 4214 4264 4472 4480 4592 4768 4816 5096 5215 5248 5330 5504 5590 5740 5824 5960 6020 6109 6272 6370 6407 6560 6656 6880 7052 7280 7301 7462 7748 7826 7840 8036 8320 8344 8428 8528 8815 8944 8960 9184 9536 9632 9685 10045 10192 10430 10496 10535 10660 11008 11180 11480 11648 11920 12040 12218 12341 12544 12740 12814 13120 13559 13760 14104 14560 14602 14924 15496 15652 15680 16072 16640 16688 16856 17056 17630 17888 17920 18368 18655 19072 19264 19370 19565 20090 20384 20860 20992 21070 21320 22016 22360 22919 22960 23296 23840 24080 24436 24682 25088 25480 25628 26117 26240 27118 27391 27520 28208 29120 29204 29848 30545 30992 31304 31360 32035 32144 33280 33376 33712 34112 35260 35776 36505 36736 37310 38144 38528 38740 39130 40180 40768 41720 42140 42640 42763 44720 44849 45838 45920 46592 47680 48160 48872 49364 50960 51256 52234 52480 54236 54782 55040 56416 58240 58408 59696 61090 61705 61984 62608 62720 64070 64288 66752 67424 67795 68224 70520 71552 73010 73472 74620 76288 77056 77480 78260 79417 80360 81536 83291 83440 84280 85280 85526 86387 89440 89698 91676 91840 94913 95360 96320 97744 98728 101920 102512 104468 104960 108472 109564 110080 112832 114595 116480 116816 119392 122180 123410 123968 125216 125440 128140 128576 130585 133504 134848 135590 136448 136955 141040 143104 146020 146944 149240 154112 154960 156520 158834 160433 160720 163072 166582 166880 168560 170560 171052 172774 178880 179396 183352 183680 189826 190720 192640 195488 197456 203840 205024 208936 213815 216944 219128 224245 225664 229190 232960 233632 238784 244360 246820 247936 250432 256280 257152 261170 262687 267008 269696 271180 272896 273910 282080 286208 292040 298480 299341 309920 313040 313943 317668 320866 321440 326144 333164 333760 337120 341120 342104 345548 357760 358792 366704 367360 379652 381440 385280 390976 394912 397085 407680 410048 416455 417872 427630 431935 433888 438256 448490 451328 458380 467264 474565 477568 488720 493640 495872 500864 512560 514304 522340 525374 534016 539392 542360 547820 555919 564160 583037 584080 596960 598682 619840 626080 627886 635336 641732 642880 666328 667520 674240 682240 684208 691096 715520 717584 733408 734720 759304 770560 781952 789824 794170 802165 815360 820096 832910 835744 855260 863870 867776 876512 896980 902656 916760 934528 949130 955136 977440 987280 991744 1001728 1025120 1028608 1044680 1050748 1078784 1084720 1095640 1111838 1123031 1128320 1166074 1168160 1193920 1197364 1239680 1252160 1255772 1270672 1283464 1285760 1313435 1332656 1335040 1348480 1364480 1368416 1382192 1431040 1435168 1466816 1496705 1518608 1563904 1569715 1579648 1588340 1604330 1630720 1640192 1665820 1671488 1710520 1727740 1735552 1753024 1793960 1833520 1838809 1869056 1898260 1910272 1954880 1974560 2003456 2050240 2089360 2101496 2169440 2191280 2223676 2246062 2256640 2332148 2336320 2387840 2394728 2479360 2504320 2511544 2541344 2566928 2571520 2626870 2665312 2670080 2696960 2736832 2764384 2779595 2870336 2915185 2933632 2993410 3037216 3127808 3139430 3159296 3176680 3208660 3280384 3331640 3342976 3414931 3421040 3455480 3471104 3506048 3587920 3667040 3677618 3738112 3796520 3891433 3909760 3949120 4081259 4100480 4178720 4202992 4338880 4382560 4447352 4492124 4513280 4664296 4672640 4775680 4789456 4958720 5008640 5023088 5082688 5133856 5143040 5253740 5330624 5393920 5473664 5528768 5559190 5615155 5740672 5830370 5867264 5986820 6074432 6278860 6318592 6353360 6417320 6663280 6685952 6829862 6842080 6910960 6942208 7012096 7175840 7334080 7355236 7593040 7782866 7819520 7898240 8162518 8200960 8357440 8405984 8677760 8765120 8894704 8984248 9194045 9328592 9345280 9551360 9578912 10017280 10046176 10165376 10267712 10507480 10661248 10947328 11057536 11118380 11230310 11481344 11660740 11734528 11973640 12148864 12557720 12706720 12834640 12871663 13326560 13371904 13659724 13684160 13821920 14024192 14351680 14668160 14710472 15186080 15565732 15639040 15796480 16325036 16401920 16714880 16811968 17074655 17355520 17530240 17789408 17968496 18388090 18657184 18690560 19157824 19457165 20092352 20330752 20406295 20535424 21014960 21322496 21894656 22115072 22236760 22460620 22962688 23321480 23904517 23947280 24297728 25115440 25413440 25669280 25743326 26653120 27319448 27368320 27643840 28703360 29336320 29420944 30372160 31131464 31592960 32650072 33429760 33623936 34149310 34711040 35060480 35578816 35936992 36776180 37314368 38315648 38914330 40184704 40661504 40812590 41070848 42029920 42644992 44230144 44473520 44921240 46642960 47809034 47894560 48595456 50230880 50826880 51338560 51486652 53306240 54638896 54736640 55287680 57406720 58672640 58841888 60744320 62262928 64358315 65300144 66859520 67247872 68298620 70120960 71157632 71873984 73552360 74628736 76631296 77828660 80369408 81625180 82141696 84059840 88947040 89842480 93285920 95618068 95789120 100461760 101653760 102677120 102973304 106612480 109277792 109473280 110575360 114813440 117683776 119522585 121488640 124525856 128716630 130600288 134495744 136597240 142315264 143747968 147104720 149257472 153262592 155657320 160738816 163250360 167331619 168119680 177894080 179684960 186571840 191236136 191578240 200923520 203307520 205354240 205946608 213224960 218555584 221150720 235367552 239045170 242977280 249051712 257433260 261200576 273194480 284630528 287495936 294209440 298514944 311314640 326500720 334663238 336239360 355788160 359369920 373143680 382472272 383156480 401847040 410708480 411893216 437111168 470735104 478090340 498103424 514866520 522401152 546388960 574991872 588418880 622629280 653001440 669326476 672478720 711576320 718739840 746287360 764944544 766312960 803694080 823786432 836658095 874222336 941470208 956180680 996206848 1029733040 1044802304 1092777920 1176837760 1245258560 1306002880 1338652952 1423152640 1437479680 1492574720 1529889088 1647572864 1673316190 1748444672 1912361360 1992413696 2059466080 2089604608 2185555840 2353675520 2490517120 2612005760 2677305904 2874959360 3059778176 3295145728 3346632380 3824722720 4118932160 4371111680 4707351040 4981034240 5224011520 5354611808 6119556352 6590291456 6693264760 7649445440 8237864320 8742223360 9962068480 10448023040 10709223616 12239112704 13386529520 15298890880 16475728640 21418447232 26773059040 30597781760 32951457280 42836894464 53546118080 61195563520 85673788928 107092236160 214184472320 428368944640
- Sum of all divisors σ(n): 1357759972800
- Sum of proper divisors (its aliquot sum) s(n): 929391028160
- 428368944640 is an abundant number, because the sum of its proper divisors (929391028160) is greater than itself. Its abundance is 501022083520
Bases of 428368944640
- Binary: 1100011101111001100011101011110000000002
- Hexadecimal: 0x63BCC75E00
- Base-36: 5GSFT534
Squares and roots of 428368944640
- 428368944640 squared (4283689446402) is 183499952731987384729600
- 428368944640 cubed (4283689446403) is 78605681093291320766412403769344000
-
The
square root of 428368944640 is 654499.0027799889 -
The
cube root of 428368944640 is 7538.2868512529
Scales and comparisons
How big is 428368944640?- 428,368,944,640 seconds is equal to 13,620 years, 41 weeks, 6 days, 21 hours, 30 minutes, 40 seconds.
-
To count from 1 to 428,368,944,640 would take you about twenty-seven thousand, two hundred forty-one 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 428368944640 cubic inches would be around 628.2 feet tall.
Recreational maths with 428368944640
- 428368944640 backwards is 046449863824
- The number of decimal digits it has is: 12
- The sum of 428368944640's digits is 58
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 428368944640 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
APA style:
Numbermatics. (2024). Number 428368944640 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/428368944640/
Chicago style:
Numbermatics. 2024. "Number 428368944640 - Facts about the integer". https://numbermatics.com/n/428368944640/
The information we have on file for 428368944640 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 428368944640, math, Factors of 428368944640, curriculum, school, college, exams, university, Prime factorization of 428368944640, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight billion, three hundred sixty-eight million, nine hundred forty-four thousand, six hundred forty.