40406130404640
40,406,130,404,640 is an even composite number composed of nine prime numbers multiplied together.
What does the number 40406130404640 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 3072 divisors.
40406130404640 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 40406130404640:
25 × 33 × 5 × 7 × 11 × 13 × 31 × 73 × 4129
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 11 × 13 × 31 × 73 × 4129)See below for interesting mathematical facts about the number 40406130404640 from the Numbermatics database.
Names of 40406130404640
- Cardinal: 40406130404640 can be written as Forty trillion, four hundred six billion, one hundred thirty million, four hundred four thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.040613040464 × 1013
Factors of 40406130404640
Divisors of 40406130404640
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 20 21 22 24 26 27 28 30 31 32 33 35 36 39 40 42 44 45 48 52 54 55 56 60 62 63 65 66 70 72 73 77 78 80 84 88 90 91 93 96 99 104 105 108 110 112 117 120 124 126 130 132 135 140 143 144 146 154 155 156 160 165 168 176 180 182 186 189 195 198 208 210 216 217 219 220 224 231 234 240 248 252 260 264 270 273 279 280 286 288 292 297 308 310 312 315 330 336 341 351 352 360 364 365 372 378 385 390 396 403 416 420 429 432 434 438 440 455 462 465 468 480 495 496 504 511 520 528 540 546 558 560 572 584 585 594 616 620 624 630 651 657 660 672 682 693 702 715 720 728 730 744 756 770 780 792 803 806 819 837 840 858 864 868 876 880 910 924 930 936 945 949 990 992 1001 1008 1022 1023 1040 1056 1080 1085 1092 1095 1116 1120 1144 1155 1168 1170 1188 1209 1232 1240 1248 1260 1287 1302 1314 1320 1364 1365 1386 1395 1404 1430 1440 1456 1460 1485 1488 1512 1533 1540 1560 1584 1606 1612 1638 1674 1680 1705 1716 1736 1752 1755 1760 1820 1848 1860 1872 1890 1898 1953 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15516947160 15697797360 15814532448 16034178732 16292794518 16398591885 16445311520 16710558480 16772988960 16927578720 17005947140 17267577096 17297144865 17491831344 17660022030 17855117280 18103105020 18450287856 18500975460 18620336592 18706541854 18837356832 19426024233 19435368160 19748841840 19768165560 20042723415 20052670176 20182882320 20407136568 20500319840 20689262880 21288793680 21378904976 21584471370 21723726024 21864789180 22201170552 22958028639 23023436128 23062859820 23275420740 23546696040 23698610208 24051268098 24137473360 24667967280 25065837720 25159483440 25508920710 25901365644 26237747016 26357554080 26723631220 27154657530 27209515424 27675431784 27751463190 28059812781 28256035248 28779295160 28964968032 29153052240 29601560736 29623262760 30610704852 30750479760 31033894320 31395594720 32068357464 32376707055 32585589036 32797183770 33421116960 34011894280 34535154192 34594289730 34983662688 35320044060 36076902147 36206210040 36900575712 37001950920 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115117180640 118493051040 120256340490 122442819408 128273429856 129506828220 130342356144 131188735080 136047577120 138377158920 140299063905 141280176240 144307608588 144824840160 148007803680 149652334832 153053524260 155408193864 160341787320 162927945180 168358876686 172675770960 174918313440 180384510735 183664229112 184502878560 186203365920 187065418540 192410144784 194260242330 204071365680 207210925152 213789049760 217237260240 222011705520 224478502248 229580286390 240512680980 244885638816 252538315029 259013656440 260684712288 262377470160 276754317840 280598127810 282560352480 288615217176 299304669664 306107048520 310816387728 320683574640 325855890360 336717753372 345351541920 360769021470 367328458224 374130837080 384820289568 388520484660 408142731360 420897191715 434474520480 444023411040 448957004496 459160572780 481025361960 505076630058 518027312880 524754940320 553508635680 561196255620 577230434352 612214097040 621632775456 641367149280 651711780720 673435506744 721538042940 734656916448 748261674160 777040969320 841794383430 897914008992 918321145560 962050723920 1010153260116 1036054625760 1122392511240 1154460868704 1224428194080 1262691575145 1303423561440 1346871013488 1443076085880 1496523348320 1554081938640 1683588766860 1836642291120 1924101447840 2020306520232 2244785022480 2525383150290 2693742026976 2886152171760 3108163877280 3367177533720 3673284582240 4040613040464 4489570044960 5050766300580 5772304343520 6734355067440 8081226080928 10101532601160 13468710134880 20203065202320 40406130404640
- Sum of all divisors σ(n): 198738866995200
- Sum of proper divisors (its aliquot sum) s(n): 158332736590560
- 40406130404640 is an abundant number, because the sum of its proper divisors (158332736590560) is greater than itself. Its abundance is 117926606185920
Bases of 40406130404640
- Binary: 10010010111111110010010000110010101101001000002
- Hexadecimal: 0x24BFC90CAD20
- Base-36: EBMBISCO0
Squares and roots of 40406130404640
- 40406130404640 squared (404061304046402) is 1632655374276773050133529600
- 40406130404640 cubed (404061304046403) is 65969285958863618491545361382479417344000
-
The
square root of 40406130404640 is 6356581.6603454407 -
The
cube root of 40406130404640 is 34314.8749340037
Scales and comparisons
How big is 40406130404640?- 40,406,130,404,640 seconds is equal to 1,284,789 years, 50 weeks, 8 hours, 24 minutes.
-
To count from 1 to 40,406,130,404,640 would take you about three million, two hundred eleven thousand, nine hundred seventy-four 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 40406130404640 cubic inches would be around 2859.6 feet tall.
Recreational maths with 40406130404640
- 40406130404640 backwards is 04640403160404
- 40406130404640 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 40406130404640's digits is 36
- More coming soon!
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Cite this page
MLA style:
"Number 40406130404640 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
APA style:
Numbermatics. (2024). Number 40406130404640 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/40406130404640/
Chicago style:
Numbermatics. 2024. "Number 40406130404640 - Facts about the integer". https://numbermatics.com/n/40406130404640/
The information we have on file for 40406130404640 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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