428097631619840
428,097,631,619,840 is an even composite number composed of seven prime numbers multiplied together.
What does the number 428097631619840 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1296 divisors.
428097631619840 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 428097631619840:
28 × 5 × 7 × 13 × 432 × 732 × 373
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 43 × 43 × 73 × 73 × 373)See below for interesting mathematical facts about the number 428097631619840 from the Numbermatics database.
Names of 428097631619840
- Cardinal: 428097631619840 can be written as Four hundred twenty-eight trillion, ninety-seven billion, six hundred thirty-one million, six hundred nineteen thousand, eight hundred forty.
Scientific notation
- Scientific notation: 4.2809763161984 × 1014
Factors of 428097631619840
Divisors of 428097631619840
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 43 52 56 64 65 70 73 80 86 91 104 112 128 130 140 146 160 172 182 208 215 224 256 260 280 292 301 320 344 364 365 373 416 430 448 455 511 520 559 560 584 602 640 688 728 730 746 832 860 896 910 949 1022 1040 1118 1120 1168 1204 1280 1376 1456 1460 1492 1505 1664 1720 1792 1820 1849 1865 1898 2044 2080 2236 2240 2336 2408 2555 2611 2752 2795 2912 2920 2984 3010 3139 3328 3440 3640 3698 3730 3796 3913 4088 4160 4472 4480 4672 4745 4816 4849 5110 5222 5329 5504 5590 5824 5840 5968 6020 6278 6643 6880 7280 7396 7460 7592 7826 8176 8320 8944 8960 9245 9344 9490 9632 9698 10220 10444 10658 11008 11180 11648 11680 11936 12040 12556 12943 13055 13286 13760 14560 14792 14920 15184 15652 15695 16039 16352 16640 17888 18490 18688 18980 19264 19396 19565 20440 20888 21316 21973 22360 23296 23360 23872 24037 24080 24245 25112 25886 26110 26572 26645 27229 27520 29120 29584 29840 30368 31304 31390 32078 32704 33215 33943 35776 36980 37303 37960 38528 38792 39130 40807 40880 41776 42632 43946 44720 46720 47744 48074 48160 48490 50224 51772 52220 53144 53290 54458 55040 58240 59168 59680 60736 62608 62780 64156 64715 65408 66430 67886 69277 71552 73960 74606 75920 77056 77584 78260 80195 81614 81760 83552 85264 87892 89440 93440 95488 96148 96320 96980 100448 103544 104440 106288 106580 108916 109865 112273 116480 118336 119360 120185 121472 125216 125560 128312 129430 130816 132860 134977 135772 136145 138554 143104 147920 149212 151840 155168 156520 160390 163228 163520 167104 168259 169715 170528 175784 178880 186515 190603 192296 192640 193960 200896 204035 207088 208507 208880 212576 213160 217832 219730 224546 229147 236672 238720 240370 242944 250432 251120 256624 258860 265720 269954 271544 272290 277108 285649 295840 298424 303680 310336 313040 320780 326456 327040 334208 336518 339430 341056 346385 351568 353977 357760 373030 381206 384592 385280 387920 401792 408070 414176 417014 417760 425152 426320 435664 439460 449092 458294 473344 477440 480740 484939 500864 502240 513248 517720 531440 539908 543088 544580 554216 561365 571298 591680 596848 607360 620672 626080 641560 652912 654080 668416 673036 674885 678860 682112 689677 692770 703136 707954 715520 746060 762412 769184 775840 803584 816140 828352 834028 835520 841295 850304 852640 871328 878920 898184 916588 944839 953015 961480 969878 1001728 1004480 1026496 1035440 1042535 1062880 1079816 1086176 1089160 1108432 1122730 1142596 1145735 1170847 1183360 1193696 1214720 1241344 1252160 1283120 1305824 1346072 1349770 1357720 1364224 1379354 1385540 1406272 1415908 1428245 1459549 1492120 1524824 1538368 1551680 1604029 1632280 1656704 1668056 1671040 1682590 1700608 1705280 1742656 1754701 1757840 1769885 1796368 1833176 1889678 1906030 1922960 1939756 1987717 2008960 2052992 2070880 2085070 2125760 2159632 2172352 2178320 2216864 2245460 2285192 2291470 2341694 2366720 2387392 2424695 2477839 2504320 2566240 2611648 2692144 2699540 2715440 2758708 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114771483008 115764638080 117609239456 124446985936 128635105655 136380258560 142225126784 143464353760 146608777952 147011549320 153165521152 155558732420 163959261440 167552889088 177781408480 183260972440 191115014116 191456901440 205816169048 209441111360 225551966080 229542966016 231529276160 235218478912 238893767645 248893971872 257270211310 284450253568 286928707520 293217555904 294023098640 311117464840 334451274703 355562816960 366521944880 382230028232 382913802880 411632338096 418882222720 451103932160 470436957824 477787535290 497787943744 514540422620 573857415040 586435111808 588046197280 622234929680 668902549406 711125633920 733043889760 764460056464 765827605760 823264676192 837764445440 940873915648 955575070580 995575887488 1029080845240 1147714830080 1172870223616 1176092394560 1244469859360 1337805098812 1422251267840 1466087779520 1528920112928 1646529352384 1672256373515 1911150141160 1991151774976 2058161690480 2352184789120 2488939718720 2675610197624 2932175559040 3057840225856 3293058704768 3344512747030 3822300282320 4116323380960 4704369578240 4977879437440 5351220395248 5864351118080 6115680451712 6586117409536 6689025494060 7644600564640 8232646761920 9955758874880 10702440790496 12231360903424 13378050988120 15289201129280 16465293523840 21404881580992 26756101976240 30578402258560 32930587047680 42809763161984 53512203952480 61156804517120 85619526323968 107024407904960 214048815809920 428097631619840
- Sum of all divisors σ(n): 1313552262762432
- Sum of proper divisors (its aliquot sum) s(n): 885454631142592
- 428097631619840 is an abundant number, because the sum of its proper divisors (885454631142592) is greater than itself. Its abundance is 457356999522752
Bases of 428097631619840
- Binary: 11000010101011010001111110100001100001011000000002
- Hexadecimal: 0x1855A3F430B00
- Base-36: 47QXC4PO8W
Squares and roots of 428097631619840
- 428097631619840 squared (4280976316198402) is 183267582198516232582281625600
- 428097631619840 cubed (4280976316198403) is 78456417891879149033448078097990396411904000
-
The
square root of 428097631619840 is 20690520.3322642421 -
The
cube root of 428097631619840 is 75366.9502459497
Scales and comparisons
How big is 428097631619840?- 428,097,631,619,840 seconds is equal to 13,612,180 years, 25 weeks, 4 days, 7 hours, 17 minutes, 20 seconds.
-
To count from 1 to 428,097,631,619,840 would take you about thirty-four million, thirty thousand, four hundred fifty-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 428097631619840 cubic inches would be around 6280.6 feet tall.
Recreational maths with 428097631619840
- 428097631619840 backwards is 048916136790824
- The number of decimal digits it has is: 15
- The sum of 428097631619840's digits is 68
- More coming soon!
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Cite this page
MLA style:
"Number 428097631619840 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
APA style:
Numbermatics. (2024). Number 428097631619840 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/428097631619840/
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The information we have on file for 428097631619840 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!
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