40946513048064
40,946,513,048,064 is an even composite number composed of six prime numbers multiplied together.
What does the number 40946513048064 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
40946513048064 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 40946513048064:
29 × 32 × 133 × 17 × 53 × 672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 13 × 17 × 53 × 67 × 67)See below for interesting mathematical facts about the number 40946513048064 from the Numbermatics database.
Names of 40946513048064
- Cardinal: 40946513048064 can be written as Forty trillion, nine hundred forty-six billion, five hundred thirteen million, forty-eight thousand and sixty-four.
Scientific notation
- Scientific notation: 4.0946513048064 × 1013
Factors of 40946513048064
Divisors of 40946513048064
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 48 51 52 53 64 67 68 72 78 96 102 104 106 117 128 134 136 144 153 156 159 169 192 201 204 208 212 221 234 256 268 272 288 306 312 318 338 384 402 408 416 424 442 468 477 507 512 536 544 576 603 612 624 636 663 676 689 768 804 816 832 848 871 884 901 936 954 1014 1072 1088 1139 1152 1206 1224 1248 1272 1326 1352 1378 1521 1536 1608 1632 1664 1696 1742 1768 1802 1872 1908 1989 2028 2067 2144 2176 2197 2278 2304 2412 2448 2496 2544 2613 2652 2703 2704 2756 2873 3042 3216 3264 3328 3392 3417 3484 3536 3551 3604 3744 3816 3978 4056 4134 4288 4352 4394 4489 4556 4608 4824 4896 4992 5088 5226 5304 5406 5408 5512 5746 6084 6201 6432 6528 6591 6656 6784 6834 6968 7072 7102 7208 7488 7632 7839 7956 8109 8112 8268 8576 8619 8704 8788 8957 8978 9112 9648 9792 9984 10176 10251 10452 10608 10653 10812 10816 11024 11323 11492 11713 12168 12402 12864 13056 13182 13467 13568 13668 13936 14144 14204 14416 14807 14976 15264 15678 15912 16218 16224 16536 17152 17238 17576 17914 17956 18224 19296 19584 19773 19968 20352 20502 20904 21216 21306 21624 21632 22048 22646 22984 23426 24336 24804 25728 25857 26112 26364 26871 26934 27136 27336 27872 28288 28408 28832 29614 29952 30528 31356 31824 31959 32436 32448 33072 33969 34304 34476 35139 35152 35828 35912 36448 37349 38592 39168 39546 40401 40704 41004 41808 42432 42612 43248 43264 44096 44421 45292 45968 46163 46852 48672 49608 51456 51714 52728 53742 53868 54672 55744 56576 56816 57664 58357 59228 59904 60367 61056 62712 63648 63918 64872 64896 66144 67938 68952 70278 70304 71656 71824 72896 74698 76313 77184 78336 79092 80613 80802 81408 82008 83616 84864 85224 86496 86528 88192 88842 90584 91936 92326 93704 97344 99216 101907 102912 103428 105417 105456 107484 107736 109344 111488 112047 113152 113632 115328 116441 116714 118456 120734 122112 125424 127296 127836 129744 129792 132288 133263 135876 137904 138489 140556 140608 143312 143648 145792 147199 149396 152269 152626 154368 158184 161226 161604 164016 167232 169728 170448 172992 175071 176384 177684 181101 181168 183872 184652 187408 192491 194688 198432 203814 206856 210834 210912 214968 215472 218688 222976 224094 227264 228939 230656 232882 233428 236912 237917 241468 244224 250848 254592 255672 259488 259584 264576 266526 271752 275808 276978 281112 281216 286624 287296 291584 294398 298792 304538 305252 308736 316368 322452 323208 328032 334464 336141 339456 340896 345984 349323 350142 352768 355368 362202 362336 367744 369304 374816 384982 389376 396864 407628 413712 415467 421668 421824 429936 430944 437376 441597 445952 448188 454528 456807 457878 461312 465764 466856 473824 475834 482936 501696 509184 511344 518976 525213 529152 533052 543303 543504 551616 553956 562224 562432 573248 574592 577473 583168 588796 597584 600119 609076 610504 632736 644904 646416 656064 668928 672282 681792 686817 691968 698646 700284 710736 713751 724404 724672 735488 738608 749632 758641 769964 778752 784771 793728 815256 827424 830934 843336 843648 859872 861888 874752 883194 896376 909056 913614 915756 931528 933712 947648 951668 965872 992069 1003392 1018368 1022688 1037952 1047969 1050426 1058304 1066104 1086606 1087008 1103232 1107912 1124448 1124864 1146496 1149184 1154946 1177592 1195168 1200238 1218152 1221008 1265472 1289808 1292832 1312128 1324791 1337856 1344564 1363584 1370421 1373634 1383936 1397292 1400568 1421472 1427502 1448808 1449344 1470976 1477216 1499264 1517282 1539928 1569542 1587456 1630512 1654848 1661868 1686672 1687296 1719744 1723776 1732419 1749504 1766388 1792752 1800357 1818112 1827228 1831512 1863056 1867424 1895296 1903336 1931744 1979497 1984138 2006784 2045376 2075904 2095938 2100852 2132208 2141253 2173212 2174016 2206464 2215824 2248896 2275923 2292992 2298368 2309892 2354313 2355184 2390336 2400476 2436304 2442016 2502383 2530944 2579616 2585664 2624256 2649582 2689128 2727168 2740842 2747268 2794584 2801136 2842944 2855004 2897616 2898688 2954432 2976207 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59428901376 60571764864 61759446528 64381309824 65619411936 66906067072 67904665088 71087696264 75269325456 76392748224 79973658297 80762353152 85841746432 87492549248 92639169792 96571964736 98429117904 100359100608 101856997632 106631544396 121143529728 128762619648 131238823872 133812134144 142175392528 150538650912 152785496448 159947316594 174985098496 185278339584 193143929472 196858235808 200718201216 203713995264 213263088792 242287059456 257525239296 262477647744 267624268288 284350785056 301077301824 305570992896 319894633188 349970196992 386287858944 393716471616 401436402432 426526177584 524955295488 568701570112 602154603648 611141985792 639789266376 772575717888 787432943232 802872804864 853052355168 1049910590976 1137403140224 1204309207296 1279578532752 1574865886464 1706104710336 2274806280448 2408618414592 2559157065504 3149731772928 3412209420672 4549612560896 5118314131008 6824418841344 10236628262016 13648837682688 20473256524032 40946513048064
- Sum of all divisors σ(n): 140197812234480
- Sum of proper divisors (its aliquot sum) s(n): 99251299186416
- 40946513048064 is an abundant number, because the sum of its proper divisors (99251299186416) is greater than itself. Its abundance is 58304786138352
Bases of 40946513048064
- Binary: 10010100111101100110100101110101110010000000002
- Hexadecimal: 0x253D9A5D7200
- Base-36: EIIKGNSW0
Squares and roots of 40946513048064
- 40946513048064 squared (409465130480642) is 1676616930795275403974148096
- 40946513048064 cubed (409465130480643) is 68651617033413760829151823693402702086144
-
The
square root of 40946513048064 is 6398946.2451300527 -
The
cube root of 40946513048064 is 34467.1711932599
Scales and comparisons
How big is 40946513048064?- 40,946,513,048,064 seconds is equal to 1,301,972 years, 23 weeks, 6 days, 2 hours, 14 minutes, 24 seconds.
-
To count from 1 to 40,946,513,048,064 would take you about three million, two hundred fifty-four thousand, nine hundred thirty-one 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 40946513048064 cubic inches would be around 2872.3 feet tall.
Recreational maths with 40946513048064
- 40946513048064 backwards is 46084031564904
- The number of decimal digits it has is: 14
- The sum of 40946513048064's digits is 54
- More coming soon!
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"Number 40946513048064 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 40946513048064 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/40946513048064/
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The information we have on file for 40946513048064 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 40946513048064, math, Factors of 40946513048064, curriculum, school, college, exams, university, Prime factorization of 40946513048064, STEM, science, technology, engineering, physics, economics, calculator, forty trillion, nine hundred forty-six billion, five hundred thirteen million, forty-eight thousand and sixty-four.