42038221189536
42,038,221,189,536 is an even composite number composed of five prime numbers multiplied together.
What does the number 42038221189536 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1620 divisors.
42038221189536 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 42038221189536:
25 × 34 × 112 × 135 × 192
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 11 × 13 × 13 × 13 × 13 × 13 × 19 × 19)See below for interesting mathematical facts about the number 42038221189536 from the Numbermatics database.
Names of 42038221189536
- Cardinal: 42038221189536 can be written as Forty-two trillion, thirty-eight billion, two hundred twenty-one million, one hundred eighty-nine thousand, five hundred thirty-six.
Scientific notation
- Scientific notation: 4.2038221189536 × 1013
Factors of 42038221189536
Divisors of 42038221189536
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 19 22 24 26 27 32 33 36 38 39 44 48 52 54 57 66 72 76 78 81 88 96 99 104 108 114 117 121 132 143 144 152 156 162 169 171 176 198 208 209 216 228 234 242 247 264 286 288 297 304 312 324 338 342 351 352 361 363 396 416 418 429 432 456 468 484 494 507 513 528 572 594 608 624 627 648 676 684 702 722 726 741 792 836 858 864 891 912 936 968 988 1014 1026 1053 1056 1083 1089 1144 1188 1248 1254 1287 1296 1352 1368 1404 1444 1452 1482 1521 1539 1573 1584 1672 1716 1782 1824 1859 1872 1881 1936 1976 2028 2052 2106 2166 2178 2197 2223 2288 2299 2376 2508 2574 2592 2704 2717 2736 2808 2888 2904 2964 3042 3078 3146 3168 3211 3249 3267 3344 3432 3564 3718 3744 3762 3861 3872 3952 3971 4056 4104 4212 4332 4356 4394 4446 4563 4576 4598 4693 4719 4752 5016 5148 5408 5434 5472 5577 5616 5643 5776 5808 5928 6084 6156 6292 6422 6498 6534 6591 6669 6688 6864 6897 7128 7436 7524 7722 7904 7942 8112 8151 8208 8424 8664 8712 8788 8892 9126 9196 9386 9438 9504 9633 9747 9801 10032 10296 10868 11154 11232 11286 11552 11583 11616 11856 11913 12168 12312 12584 12844 12996 13068 13182 13338 13689 13728 13794 14079 14157 14256 14872 15048 15444 15884 16224 16302 16416 16731 16848 16929 17328 17424 17576 17784 18252 18392 18772 18876 19266 19494 19602 19773 20007 20064 20449 20592 20691 21736 22308 22572 23166 23712 23826 24167 24336 24453 24624 25168 25688 25992 26136 26364 26676 27378 27588 28158 28314 28512 28561 28899 29241 29744 29887 30096 30888 31768 32604 33462 33696 33858 34656 34848 35152 35321 35568 35739 36504 36784 37544 37752 38532 38988 39204 39546 40014 40898 41184 41382 41743 42237 42471 43472 43681 44616 45144 46332 47652 48334 48672 48906 49248 50193 50336 51376 51623 51984 52272 52728 53352 54756 55176 56316 56628 57122 57798 58482 59319 59488 59774 60192 61009 61347 61776 62073 63536 65208 66924 67716 70304 70642 71136 71478 72501 73008 73359 73568 75088 75504 77064 77976 78408 79092 80028 81796 82764 83486 84474 84942 85683 86697 86944 87362 89232 89661 90288 92664 95304 96668 97812 100386 102752 103246 103968 104544 105456 105963 106704 107217 109512 110352 112632 113256 114244 115596 116964 118638 119548 122018 122694 123552 124146 125229 126711 127072 127413 130416 131043 133848 135432 141284 142956 145002 146016 146718 150176 150579 151008 154128 154869 155952 156816 158184 160056 163592 165528 166972 168948 169884 171366 173394 174724 177957 178464 179322 180576 183027 184041 185328 186219 190608 193336 195624 200772 206492 210912 211926 213408 214434 217503 219024 220077 220704 225264 226512 228488 231192 233928 237276 239096 244036 245388 248292 250458 253422 254826 257049 260091 260832 262086 265837 267696 268983 270864 282568 285912 290004 293436 301158 308256 309738 311904 313632 314171 316368 317889 320112 321651 327184 331056 333944 337896 339768 342732 346788 349448 355914 358644 366054 368082 370656 371293 372438 375687 380133 381216 386672 388531 391248 393129 401544 412984 423852 428868 435006 438048 440154 450528 453024 456976 459173 462384 464607 467856 474552 478192 488072 490776 496584 500916 506844 509652 514098 520182 524172 531674 535392 537966 541728 542659 549081 552123 565136 567853 571824 580008 586872 602316 619476 628342 632736 635778 640224 643302 652509 654368 662112 667888 671099 675792 679536 685464 693576 698896 711828 717288 732108 736164 742586 744876 751374 760266 771147 773344 777062 782496 786258 793117 797511 803088 806949 825968 847704 857736 870012 880308 913952 918346 924768 929214 935712 942513 949104 953667 956384 976144 981552 993168 1001832 1013688 1019304 1028196 1040364 1048344 1063348 1075932 1085318 1098162 1104246 1113879 1127061 1130272 1135706 1143648 1160016 1165593 1173744 1179387 1204632 1238952 1256684 1271556 1286604 1305018 1335776 1342198 1351584 1359072 1370928 1377519 1387152 1393821 1397792 1423656 1434576 1464216 1472328 1485172 1489752 1502748 1520532 1542294 1554124 1572516 1586234 1595022 1606176 1613898 1627977 1647243 1651936 1656369 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32436899066 32663730528 33523302384 33684472107 35385708072 36746696844 38602590624 38816455392 39808921581 39922337312 40972925136 41457811824 42548806872 43427914452 44912629476 46094540778 47180944096 48655348599 48995595792 50284953576 53078562108 56731742496 57903885936 58224683088 59883505968 61459387704 62186717736 64873798132 67046604768 67368944214 69141811167 70771416144 73493393688 79617843162 81945850272 82915623648 85097613744 86855828904 89825258952 92189081556 97310697198 97991191584 100569907152 101053416321 106157124216 115807771872 116449366176 119426764743 119767011936 122918775408 124373435472 129747596264 134737888428 138283622334 141542832288 145966045797 146986787376 159235686324 170195227488 173711657808 179650517904 184378163112 194621394396 201139814304 202106832642 212314248432 238853529486 245837550816 248746870944 259495192528 269475776856 276567244668 291932091594 293973574752 318471372648 347423315616 359301035808 368756326224 389242788792 404213665284 424628496864 437898137391 477707058972 518990385056 538951553712 553134489336 583864183188 636942745296 737512652448 778485577584 808427330568 875796274782 955414117944 1077903107424 1106268978672 1167728366376 1273885490592 1313694412173 1556971155168 1616854661136 1751592549564 1910828235888 2212537957344 2335456732752 2627388824346 3233709322272 3503185099128 3821656471776 4670913465504 5254777648692 7006370198256 10509555297384 14012740396512 21019110594768 42038221189536
- Sum of all divisors σ(n): 155375061743286
- Sum of proper divisors (its aliquot sum) s(n): 113336840553750
- 42038221189536 is an abundant number, because the sum of its proper divisors (113336840553750) is greater than itself. Its abundance is 71298619364214
Bases of 42038221189536
- Binary: 10011000111011110010010011110110110001101000002
- Hexadecimal: 0x263BC93DB1A0
- Base-36: EWG3BI200
Squares and roots of 42038221189536
- 42038221189536 squared (420382211895362) is 1767212040780353546835895296
- 42038221189536 cubed (420382211895363) is 74290450659135816221366307039196666822656
-
The
square root of 42038221189536 is 6483688.8566259871 -
The
cube root of 42038221189536 is 34770.8075276037
Scales and comparisons
How big is 42038221189536?- 42,038,221,189,536 seconds is equal to 1,336,685 years, 20 weeks, 5 days, 23 hours, 45 minutes, 36 seconds.
-
To count from 1 to 42,038,221,189,536 would take you about three million, three hundred forty-one thousand, seven hundred thirteen 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 42038221189536 cubic inches would be around 2897.6 feet tall.
Recreational maths with 42038221189536
- 42038221189536 backwards is 63598112283024
- 42038221189536 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42038221189536's digits is 54
- More coming soon!
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"Number 42038221189536 - Facts about the integer". Numbermatics.com. 2024. Web. 20 May 2024.
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Numbermatics. (2024). Number 42038221189536 - Facts about the integer. Retrieved 20 May 2024, from https://numbermatics.com/n/42038221189536/
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The information we have on file for 42038221189536 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 42038221189536, math, Factors of 42038221189536, curriculum, school, college, exams, university, Prime factorization of 42038221189536, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, thirty-eight billion, two hundred twenty-one million, one hundred eighty-nine thousand, five hundred thirty-six.