38142071647680
38,142,071,647,680 is an even composite number composed of nine prime numbers multiplied together.
What does the number 38142071647680 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 1792 divisors.
38142071647680 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 38142071647680:
26 × 3 × 5 × 7 × 11 × 13 × 29 × 73 × 18749
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 13 × 29 × 73 × 18749)See below for interesting mathematical facts about the number 38142071647680 from the Numbermatics database.
Names of 38142071647680
- Cardinal: 38142071647680 can be written as Thirty-eight trillion, one hundred forty-two billion, seventy-one million, six hundred forty-seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 3.814207164768 × 1013
Factors of 38142071647680
Divisors of 38142071647680
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 24 26 28 29 30 32 33 35 39 40 42 44 48 52 55 56 58 60 64 65 66 70 73 77 78 80 84 87 88 91 96 104 105 110 112 116 120 130 132 140 143 145 146 154 156 160 165 168 174 176 182 192 195 203 208 210 219 220 224 231 232 240 260 264 273 280 286 290 292 308 312 319 320 330 336 348 352 364 365 377 385 390 406 416 420 429 435 438 440 448 455 462 464 480 511 520 528 546 560 572 580 584 609 616 624 638 660 672 696 704 715 728 730 754 770 780 803 812 832 840 858 870 876 880 910 924 928 949 957 960 1001 1015 1022 1040 1056 1092 1095 1120 1131 1144 1155 1160 1168 1218 1232 1248 1276 1320 1344 1365 1392 1430 1456 1460 1508 1533 1540 1560 1595 1606 1624 1680 1716 1740 1752 1760 1820 1848 1856 1885 1898 1914 2002 2030 2044 2080 2112 2117 2145 2184 2190 2233 2240 2262 2288 2310 2320 2336 2409 2436 2464 2496 2552 2555 2639 2640 2730 2784 2847 2860 2912 2920 3003 3016 3045 3066 3080 3120 3190 3212 3248 3360 3432 3480 3504 3520 3640 3696 3770 3796 3828 4004 4015 4060 4088 4147 4160 4234 4290 4368 4380 4466 4524 4576 4620 4640 4672 4745 4785 4818 4872 4928 5005 5104 5110 5278 5280 5460 5568 5621 5655 5694 5720 5824 5840 6006 6032 6090 6132 6160 6240 6351 6380 6424 6496 6643 6699 6720 6864 6960 7008 7280 7392 7540 7592 7656 7665 7917 8008 8030 8120 8176 8294 8468 8580 8736 8760 8932 9048 9152 9240 9280 9490 9570 9636 9744 10010 10208 10220 10439 10556 10560 10585 10920 11165 11242 11310 11388 11440 11680 12012 12045 12064 12180 12264 12320 12441 12480 12702 12760 12848 12992 13195 13286 13398 13728 13920 14016 14235 14560 14784 14819 15015 15080 15184 15312 15330 15834 16016 16060 16240 16352 16588 16863 16936 17160 17472 17520 17864 18096 18480 18749 18980 19140 19272 19488 19929 20020 20416 20440 20735 20878 21112 21170 21840 22330 22484 22620 22776 22880 23287 23360 24024 24090 24128 24360 24528 24640 24882 25404 25520 25696 26390 26572 26796 27456 27521 27840 28105 28470 29029 29120 29638 30030 30160 30368 30624 30660 31317 31668 31755 32032 32120 32480 32704 33176 33215 33495 33726 33872 34320 35040 35728 36192 36960 37498 37960 38280 38544 38976 39585 39858 40040 40880 41470 41756 42224 42340 43680 44457 44660 44968 45240 45552 45760 46574 48048 48180 48720 49056 49764 50808 51040 51392 52195 52780 53144 53592 55042 56210 56247 56940 58058 59276 60060 60320 60736 61248 61320 62205 62634 63336 63510 64064 64240 64960 66352 66430 66990 67452 67744 68640 69861 70080 71456 72384 73073 73920 74095 74996 75920 76560 77088 79170 79716 80080 81760 82563 82940 83512 84315 84448 84680 87087 87360 88914 89320 89936 90480 91104 93148 93745 96096 96360 97440 98112 99528 99645 101616 102080 104390 105560 106288 107184 110084 112420 112494 113880 116116 116435 118552 120120 120640 122640 124410 125268 126672 127020 128480 131243 132704 132860 133980 134904 135488 137280 137605 139722 142912 145145 146146 148190 149992 151840 153120 154176 156585 158340 159432 160160 163009 163520 165126 165880 167024 168630 168896 169360 174174 177828 178640 179872 180960 182208 186296 187490 192192 192647 192720 194880 199056 199290 203232 206239 208780 211120 212576 214368 219219 220168 222285 224840 224988 227760 232232 232870 237104 240240 243737 245280 248820 250536 253344 254040 256960 262486 265408 265720 267960 269808 275210 279444 281235 290290 292292 296380 299984 302731 303680 306240 313170 316680 318864 320320 326018 330252 331760 334048 337260 338720 348348 349305 355656 357280 359744 361920 365365 372592 374980 385294 385440 393729 398112 398580 406464 412478 412815 417560 422240 425152 428736 435435 438438 440336 444570 449680 449976 455520 464464 465740 474208 480480 487474 489027 490560 497640 501072 506688 508080 524972 531440 535920 539616 543721 550420 558888 562470 577941 580580 584584 592760 599968 605462 618717 626340 633360 637728 652036 656215 660504 663520 668096 674520 677440 696696 698610 711312 714560 730730 731211 745184 749960 770588 770880 787458 796224 797160 815045 824956 825630 835120 844480 870870 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41101370310 41279298320 41914364448 43343263236 43541177680 43841461664 44454628960 45407228152 45843836115 46972994640 47499466560 48900091856 49535157984 50586301920 52249413216 52392955560 53345554752 54179079045 54801827080 56759035190 57791017648 59783811360 61125114820 61918947480 62630659520 65311766520 65762192496 66681943440 68110842228 69857274080 72238772060 73350137784 74642018880 79462649266 82202740620 82558596640 83828728896 85138552785 86686526472 87082355360 87682923328 88909257920 90814456304 91687672230 93945989280 97800183712 99070315968 101172603840 104498826432 104785911120 108358158090 109603654160 113518070380 115582035296 119193973899 119567622720 122250229640 123837894960 130623533040 131524384992 133363886880 136221684456 139714548160 144477544120 146700275568 158925298532 164405481240 165117193280 170277105570 173373052944 174164710720 181628912608 183375344460 187891978560 195600367424 198656623165 209571822240 216716316180 219207308320 227036140760 231164070592 238387947798 244500459280 247675789920 261247066080 263048769984 266727773760 272443368912 288955088240 293400551136 317850597064 328810962480 340554211140 346746105888 363257825216 366750688920 397313246330 419143644480 433432632360 438414616640 454072281520 476775895596 489000918560 495351579840 522494132160 544886737824 577910176480 586801102272 595969869495 635701194128 657621924960 681108422280 693492211776 733501377840 794626492660 866865264720 908144563040 953551791192 978001837120 1089773475648 1155820352960 1191939738990 1271402388256 1315243849920 1362216844560 1467002755680 1589252985320 1733730529440 1816289126080 1907103582384 2383879477980 2542804776512 2724433689120 2934005511360 3178505970640 3467461058880 3814207164768 4767758955960 5448867378240 6357011941280 7628414329536 9535517911920 12714023882560 19071035823840 38142071647680
- Sum of all divisors σ(n): 170517312000000
- Sum of proper divisors (its aliquot sum) s(n): 132375240352320
- 38142071647680 is an abundant number, because the sum of its proper divisors (132375240352320) is greater than itself. Its abundance is 94233168704640
Bases of 38142071647680
- Binary: 10001010110000101001001010000110101101110000002
- Hexadecimal: 0x22B0A4A1ADC0
- Base-36: DIQ84NR9C
Squares and roots of 38142071647680
- 38142071647680 squared (381420716476802) is 1454817629576754510049382400
- 38142071647680 cubed (381420716476803) is 55489758261624552796146118075734392832000
-
The
square root of 38142071647680 is 6175926.7845142077 -
The
cube root of 38142071647680 is 33661.6003277981
Scales and comparisons
How big is 38142071647680?- 38,142,071,647,680 seconds is equal to 1,212,799 years, 46 weeks, 4 days, 14 hours, 8 minutes.
-
To count from 1 to 38,142,071,647,680 would take you about three million, thirty-one thousand, nine hundred ninety-nine 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 38142071647680 cubic inches would be around 2805.1 feet tall.
Recreational maths with 38142071647680
- 38142071647680 backwards is 08674617024183
- The number of decimal digits it has is: 14
- The sum of 38142071647680's digits is 57
- More coming soon!
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"Number 38142071647680 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 38142071647680 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/38142071647680/
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The information we have on file for 38142071647680 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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