138236077783440
138,236,077,783,440 is an even composite number composed of six prime numbers multiplied together.
What does the number 138236077783440 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1620 divisors.
138236077783440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 138236077783440:
24 × 38 × 5 × 72 × 13 × 6432
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 13 × 643 × 643)See below for interesting mathematical facts about the number 138236077783440 from the Numbermatics database.
Names of 138236077783440
- Cardinal: 138236077783440 can be written as One hundred thirty-eight trillion, two hundred thirty-six billion, seventy-seven million, seven hundred eighty-three thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3823607778344 × 1014
Factors of 138236077783440
Divisors of 138236077783440
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 35 36 39 40 42 45 48 49 52 54 56 60 63 65 70 72 78 80 81 84 90 91 98 104 105 108 112 117 120 126 130 135 140 144 147 156 162 168 180 182 189 195 196 208 210 216 234 240 243 245 252 260 270 273 280 294 312 315 324 336 351 360 364 378 390 392 405 420 432 441 455 468 486 490 504 520 540 546 560 567 585 588 624 630 637 643 648 702 720 728 729 735 756 780 784 810 819 840 882 910 936 945 972 980 1008 1040 1053 1080 1092 1134 1170 1176 1215 1260 1274 1286 1296 1323 1365 1404 1456 1458 1470 1512 1560 1620 1638 1680 1701 1755 1764 1820 1872 1890 1911 1929 1944 1960 2106 2160 2184 2187 2205 2268 2340 2352 2430 2457 2520 2548 2572 2646 2730 2808 2835 2916 2940 3024 3120 3159 3185 3215 3240 3276 3402 3510 3528 3640 3645 3780 3822 3858 3888 3920 3969 4095 4212 4368 4374 4410 4501 4536 4680 4860 4914 5040 5096 5103 5144 5265 5292 5460 5616 5670 5733 5787 5832 5880 6318 6370 6430 6480 6552 6561 6615 6804 7020 7056 7280 7290 7371 7560 7644 7716 7938 8190 8359 8424 8505 8748 8820 9002 9072 9360 9477 9555 9645 9720 9828 10192 10206 10288 10530 10584 10920 10935 11340 11466 11574 11664 11760 11907 12285 12636 12740 12860 13104 13122 13230 13503 13608 14040 14580 14742 15120 15288 15309 15432 15795 15876 16380 16718 16848 17010 17199 17361 17496 17640 18004 18954 19110 19290 19440 19656 19845 20412 21060 21168 21840 21870 22113 22505 22680 22932 23148 23814 24570 25077 25272 25480 25515 25720 26244 26460 27006 27216 28080 28431 28665 28935 29160 29484 30576 30618 30864 31507 31590 31752 32760 32805 33436 34020 34398 34722 34992 35280 35721 36008 36855 37908 38220 38580 39312 39690 40509 40824 41795 42120 43740 44226 45010 45360 45864 45927 46296 47385 47628 49140 50154 50544 50960 51030 51440 51597 52083 52488 52920 54012 56862 57330 57870 58320 58513 58968 59535 61236 63014 63180 63504 65520 65610 66339 66872 67515 68040 68796 69444 71442 72016 73710 75231 75816 76440 76545 77160 79380 81018 81648 83590 84240 85293 85995 86805 87480 88452 90020 91728 91854 92592 94521 94770 95256 98280 100308 102060 103194 104166 104976 105840 107163 108024 110565 113724 114660 115740 117026 117936 119070 121527 122472 125385 126028 126360 131220 132678 133744 135030 136080 137592 138888 142155 142884 147420 150462 151632 152880 153090 154320 154791 156249 157535 158760 162036 167180 170586 171990 173610 174960 175539 176904 178605 180040 183708 189042 189540 190512 196560 199017 200616 202545 204120 206388 208332 214326 216048 221130 225693 227448 229320 229635 231480 234052 238140 243054 244944 250770 252056 252720 257985 260415 262440 265356 270060 275184 277776 283563 284310 285768 292565 294840 300924 306180 309582 312498 315070 317520 321489 324072 331695 334360 341172 343980 347220 351078 353808 357210 360080 364581 367416 376155 378084 379080 398034 401232 405090 408240 409591 412776 413449 416664 426465 428652 442260 451386 454896 458640 459270 462960 464373 468104 468747 472605 476280 486108 501540 504112 515970 520830 524880 526617 530712 535815 540120 567126 568620 571536 585130 589680 597051 601848 607635 612360 619164 624996 630140 642978 648144 663390 668720 677079 682344 687960 694440 702156 714420 729162 734832 752310 756168 758160 773955 781245 796068 810180 819182 825552 826898 833328 850689 852930 857304 877695 884520 902772 918540 928746 936208 937494 945210 952560 972216 995085 1003080 1031940 1041660 1053234 1061424 1071630 1080240 1093743 1128465 1134252 1137240 1170260 1194102 1203696 1215270 1224720 1228773 1238328 1240347 1249992 1260280 1285956 1326780 1354158 1364688 1375920 1388880 1393119 1404312 1406241 1417815 1428840 1458324 1504620 1512336 1547910 1562490 1579851 1592136 1607445 1620360 1638364 1653796 1701378 1705860 1714608 1755390 1769040 1805544 1822905 1837080 1857492 1874988 1890420 1944432 1990170 2006160 2031237 2047955 2063880 2067245 2083320 2106468 2143260 2187486 2256930 2268504 2274480 2321865 2340520 2343735 2388204 2430540 2457546 2476656 2480694 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731407818960 759538888920 767978209908 822833796330 853309122120 886128703740 940381481520 959972762385 987400555596 1023970946544 1063354444488 1097111728440 1151967314862 1181504938320 1234250694495 1279963683180 1316534074128 1329193055610 1410572222280 1519077777840 1535956419816 1645667592660 1706618244240 1727950972293 1772257407480 1919945524770 1974801111192 2126708888976 2194223456880 2303934629724 2468501388990 2559927366360 2658386111220 2821144444560 2879918287155 3071912839632 3291335185320 3455901944586 3544514814960 3839891049540 3949602222384 4607869259448 4937002777980 5119854732720 5316772222440 5759836574310 6582670370640 6911803889172 7679782099080 8639754861465 9215738518896 9874005555960 10633544444880 11519673148620 13823607778344 15359564198160 17279509722930 19748011111920 23039346297240 27647215556688 34559019445860 46078692594480 69118038891720 138236077783440
- Sum of all divisors σ(n): 604857341707164
- Sum of proper divisors (its aliquot sum) s(n): 466621263923724
- 138236077783440 is an abundant number, because the sum of its proper divisors (466621263923724) is greater than itself. Its abundance is 328385186140284
Bases of 138236077783440
- Binary: 111110110111001100110000100111110111001100100002
- Hexadecimal: 0x7DB9984FB990
- Base-36: 1D00RZK900
Squares and roots of 138236077783440
- 138236077783440 squared (1382360777834402) is 19109213200949273943538233600
- 138236077783440 cubed (1382360777834403) is 2641582682426762296104744090699180931584000
-
The
square root of 138236077783440 is 11757383.9685297341 -
The
cube root of 138236077783440 is 51705.9435422851
Scales and comparisons
How big is 138236077783440?- 138,236,077,783,440 seconds is equal to 4,395,479 years, 35 weeks, 2 days, 23 hours, 24 minutes.
-
To count from 1 to 138,236,077,783,440 would take you about ten million, nine hundred eighty-eight thousand, six 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 138236077783440 cubic inches would be around 4308.8 feet tall.
Recreational maths with 138236077783440
- 138236077783440 backwards is 044387770632831
- 138236077783440 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138236077783440's digits is 63
- More coming soon!
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"Number 138236077783440 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 138236077783440 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/138236077783440/
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The information we have on file for 138236077783440 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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