40738314010680
40,738,314,010,680 is an even composite number composed of seven prime numbers multiplied together.
40738314010680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 40738314010680:
23 × 36 × 5 × 113 × 13 × 263 × 307
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 11 × 11 × 13 × 263 × 307)See below for interesting mathematical facts about the number 40738314010680 from the Numbermatics database.
Names of 40738314010680
- Cardinal: 40738314010680 can be written as Forty trillion, seven hundred thirty-eight billion, three hundred fourteen million, ten thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.073831401068 × 1013
Factors of 40738314010680
Divisors of 40738314010680
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 18 20 22 24 26 27 30 33 36 39 40 44 45 52 54 55 60 65 66 72 78 81 88 90 99 104 108 110 117 120 121 130 132 135 143 156 162 165 180 195 198 216 220 234 242 243 260 263 264 270 286 297 307 312 324 330 351 360 363 390 396 405 429 440 468 484 486 495 520 526 540 572 585 594 605 614 648 660 702 715 726 729 780 789 792 810 858 891 921 936 968 972 990 1052 1053 1080 1089 1144 1170 1188 1210 1215 1228 1287 1315 1320 1331 1404 1430 1452 1458 1485 1535 1560 1573 1578 1620 1716 1755 1782 1815 1842 1944 1980 2104 2106 2145 2178 2340 2367 2376 2420 2430 2456 2574 2630 2662 2673 2763 2808 2860 2893 2904 2916 2970 3070 3146 3156 3159 3240 3267 3377 3419 3432 3510 3564 3630 3645 3684 3861 3945 3960 3991 3993 4212 4290 4356 4455 4605 4680 4719 4734 4840 4860 5148 5260 5265 5324 5346 5445 5526 5720 5786 5832 5940 6140 6292 6312 6318 6435 6534 6655 6754 6838 7020 7101 7128 7260 7290 7368 7722 7865 7890 7982 7986 8019 8289 8424 8580 8679 8712 8910 9210 9438 9468 9477 9720 9801 10131 10257 10296 10520 10530 10648 10692 10890 11052 11572 11583 11835 11880 11973 11979 12280 12584 12636 12870 13068 13310 13365 13508 13676 13815 14040 14157 14202 14465 14520 14580 15444 15730 15780 15795 15964 15972 16038 16335 16578 16885 17095 17160 17303 17358 17820 18420 18876 18936 18954 19305 19602 19955 19965 20262 20514 21060 21303 21384 21780 22104 23144 23166 23595 23670 23946 23958 24867 25272 25740 26037 26136 26620 26730 27016 27352 27630 28314 28404 28930 29160 29403 30393 30771 30888 31460 31560 31590 31823 31928 31944 32076 32670 33156 33770 34190 34606 34716 34749 35505 35640 35919 35937 36840 37147 37609 37752 37908 38610 39204 39910 39930 40095 40524 41028 41445 42120 42471 42606 43395 43560 43901 46332 47190 47340 47385 47892 47916 49005 49734 50655 51285 51480 51909 52074 53240 53460 55260 56628 56808 57860 57915 58806 59865 59895 60786 61542 62920 63180 63646 63909 64152 65340 66312 67540 68380 69212 69432 69498 70785 71010 71838 71874 74294 74601 75218 75816 77220 78111 78408 79820 79860 80190 80741 81048 82056 82890 84942 85212 86515 86790 87802 88209 91179 92313 92664 94380 94680 94770 95469 95784 95832 98010 99468 101310 102570 103818 104148 104247 106515 106920 107757 107811 110520 111441 112827 113256 115720 115830 117612 119730 119790 121572 123084 124335 126360 127292 127413 127818 130185 130680 131703 135080 136760 138424 138996 141570 142020 143676 143748 147015 148588 149202 150436 151965 153855 154440 155727 156222 159115 159640 159720 160380 161482 165780 169884 170424 173030 173580 173745 175604 176418 179595 179685 182358 184626 185735 188045 188760 189540 190938 191727 196020 198936 202620 205140 207636 208296 208494 212355 213030 215514 215622 219505 222882 223803 225654 231660 234333 235224 239460 239580 242223 243144 246168 248670 254584 254826 255636 259545 260370 263406 273537 276939 277992 283140 284040 286407 287352 287496 294030 297176 298404 300872 303930 307710 311454 312444 318230 319545 320760 322964 323271 323433 331560 334323 338481 339768 346060 347160 347490 350053 351208 352836 359190 359370 364716 369252 371470 373005 376090 379080 381876 382239 383454 390555 392040 395109 403705 405240 408617 410280 413699 415272 416988 424710 426060 431028 431244 439010 441045 445764 447606 451308 455895 461565 463320 467181 468666 477345 478920 479160 482911 484446 497340 509652 511272 519090 520740 521235 526812 538785 539055 547074 553878 557205 564135 566280 572814 588060 596808 607860 615420 622908 624888 636460 637065 639090 645928 646542 646866 658515 668646 676962 692120 694980 700106 702999 705672 718380 718740 726669 729432 738504 742940 746010 752180 763752 764478 766908 778635 781110 790218 807410 817234 820611 827398 830817 833976 849420 852120 859221 862056 862488 878020 882090 888151 891528 895212 902616 911790 923130 934362 937332 954690 958635 965822 968892 969813 970299 994680 1002969 1015443 1019304 1038180 1041480 1042470 1049633 1050159 1053624 1077570 1078110 1094148 1107756 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15303649140 15489853236 15826850820 16587261405 16764738276 16834014054 17145755055 17210948040 17409535902 18704460060 18992220984 19343928780 19362316545 20574906066 20955922845 22116348540 22445352072 22861006740 23212714536 23740276230 25147107414 25816422060 25898483160 26114303853 26539618248 27433208088 27941230460 28056690090 28488331476 29015893170 30607298280 30862359099 30979706472 31653701640 33174522810 33529476552 33668028108 34291510110 34819071804 35610414345 37408920120 37720661121 38687857560 38724633090 41149812132 41911845690 42085035135 43523839755 44232697080 45722013480 47480552460 50294214828 51437265165 51632844120 52228607706 55882460920 56113380180 56976662952 58031786340 61724718198 62867768535 66349045620 67336056216 68583020220 69638143608 71220828690 75441322242 77449266180 78342911559 82299624264 83823691380 84170070270 87047679510 92587077297 94961104920 100588429656 102874530330 104457215412 112226760360 113161983363 116063572680 123449436396 125735537070 130571519265 132698091240 137166040440 142441657380 150882644484 154311795495 154898532360 156685823118 167647382760 168340140540 174095359020 185174154594 188603305605 205749060660 208914430824 226323966726 246898872792 251471074140 261143038530 284883314760 301765288968 308623590990 313371646236 336680281080 339485950089 348190718040 370348309188 377206611210 391714557795 411498121320 452647933452 462935386485 502942148280 522286077060 565809916815 617247181980 626743292472 678971900178 740696618376 754413222420 783429115590 905295866904 925870772970 1018457850267 1044572154120 1131619833630 1234494363960 1357943800356 1508826444840 1566858231180 1697429750445 1851741545940 2036915700534 2263239667260 2715887600712 3133716462360 3394859500890 3703483091880 4073831401068 4526479334520 5092289251335 6789719001780 8147662802136 10184578502670 13579438003560 20369157005340 40738314010680
- Sum of all divisors σ(n): 163940564874240
- Sum of proper divisors (its aliquot sum) s(n): 123202250863560
- 40738314010680 is an abundant number, because the sum of its proper divisors (123202250863560) is greater than itself. Its abundance is 82463936852880
Bases of 40738314010680
- Binary: 10010100001101001000001011110001000000001110002
- Hexadecimal: 0x250D20BC4038
- Base-36: EFUX8BVI0
Squares and roots of 40738314010680
- 40738314010680 squared (407383140106802) is 1659610228432766387154062400
- 40738314010680 cubed (407383140106803) is 67609722621230402208189705441598986432000
-
The
square root of 40738314010680 is 6382657.2844450925 -
The
cube root of 40738314010680 is 34408.6539687169
Scales and comparisons
How big is 40738314010680?- 40,738,314,010,680 seconds is equal to 1,295,352 years, 19 weeks, 3 days, 18 minutes.
-
To count from 1 to 40,738,314,010,680 would take you about three million, two hundred thirty-eight thousand, three hundred eighty 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 40738314010680 cubic inches would be around 2867.4 feet tall.
Recreational maths with 40738314010680
- 40738314010680 backwards is 08601041383704
- 40738314010680 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 40738314010680's digits is 45
- More coming soon!
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"Number 40738314010680 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 40738314010680 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/40738314010680/
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The information we have on file for 40738314010680 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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