329138135040
329,138,135,040 is an even composite number composed of six prime numbers multiplied together.
329138135040 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 329138135040:
213 × 3 × 5 × 11 × 13 × 18731
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 13 × 18731)See below for interesting mathematical facts about the number 329138135040 from the Numbermatics database.
Names of 329138135040
- Cardinal: 329138135040 can be written as Three hundred twenty-nine billion, one hundred thirty-eight million, one hundred thirty-five thousand and forty.
Scientific notation
- Scientific notation: 3.2913813504 × 1011
Factors of 329138135040
Divisors of 329138135040
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 32 33 39 40 44 48 52 55 60 64 65 66 78 80 88 96 104 110 120 128 130 132 143 156 160 165 176 192 195 208 220 240 256 260 264 286 312 320 330 352 384 390 416 429 440 480 512 520 528 572 624 640 660 704 715 768 780 832 858 880 960 1024 1040 1056 1144 1248 1280 1320 1408 1430 1536 1560 1664 1716 1760 1920 2048 2080 2112 2145 2288 2496 2560 2640 2816 2860 3072 3120 3328 3432 3520 3840 4096 4160 4224 4290 4576 4992 5120 5280 5632 5720 6144 6240 6656 6864 7040 7680 8192 8320 8448 8580 9152 9984 10240 10560 11264 11440 12288 12480 13312 13728 14080 15360 16640 16896 17160 18304 18731 19968 20480 21120 22528 22880 24576 24960 26624 27456 28160 30720 33280 33792 34320 36608 37462 39936 40960 42240 45056 45760 49920 53248 54912 56193 56320 61440 66560 67584 68640 73216 74924 79872 84480 90112 91520 93655 99840 106496 109824 112386 112640 122880 133120 135168 137280 146432 149848 159744 168960 183040 187310 199680 206041 219648 224772 225280 243503 266240 270336 274560 280965 292864 299696 319488 337920 366080 374620 399360 412082 439296 449544 450560 487006 532480 549120 561930 585728 599392 618123 675840 730509 732160 749240 798720 824164 878592 899088 974012 1030205 1098240 1123860 1171456 1198784 1217515 1236246 1351680 1461018 1464320 1498480 1597440 1648328 1757184 1798176 1948024 2060410 2196480 2247720 2397568 2435030 2472492 2678533 2922036 2928640 2996960 3090615 3296656 3514368 3596352 3652545 3896048 4120820 4392960 4495440 4795136 4870060 4944984 5357066 5844072 5857280 5993920 6181230 6593312 7192704 7305090 7792096 8035599 8241640 8785920 8990880 9590272 9740120 9889968 10714132 11688144 11987840 12362460 13186624 13392665 14385408 14610180 15584192 16071198 16483280 17571840 17981760 19180544 19480240 19779936 21428264 23376288 23975680 24724920 26373248 26785330 28770816 29220360 31168384 32142396 32966560 35963520 38361088 38960480 39559872 40177995 42856528 46752576 47951360 49449840 52746496 53570660 57541632 58440720 62336768 64284792 65933120 71927040 76722176 77920960 79119744 80355990 85713056 93505152 95902720 98899680 105492992 107141320 115083264 116881440 124673536 128569584 131866240 143854080 153444352 155841920 158239488 160711980 171426112 187010304 191805440 197799360 210985984 214282640 230166528 233762880 249347072 257139168 263732480 287708160 311683840 316478976 321423960 342852224 374020608 383610880 395598720 421971968 428565280 460333056 467525760 498694144 514278336 527464960 575416320 623367680 632957952 642847920 685704448 748041216 767221760 791197440 843943936 857130560 935051520 997388288 1028556672 1054929920 1150832640 1246735360 1265915904 1285695840 1371408896 1496082432 1582394880 1687887872 1714261120 1870103040 1994776576 2057113344 2109859840 2301665280 2493470720 2531831808 2571391680 2742817792 2992164864 3164789760 3428522240 3740206080 4114226688 4219719680 4986941440 5063663616 5142783360 5485635584 5984329728 6329579520 6857044480 7480412160 8228453376 8439439360 9973882880 10285566720 10971271168 12659159040 13714088960 14960824320 16456906752 20571133440 21942542336 25318318080 27428177920 29921648640 32913813504 41142266880 54856355840 65827627008 82284533760 109712711680 164569067520 329138135040
- Sum of all divisors σ(n): 1237365787392
- Sum of proper divisors (its aliquot sum) s(n): 908227652352
- 329138135040 is an abundant number, because the sum of its proper divisors (908227652352) is greater than itself. Its abundance is 579089517312
Bases of 329138135040
- Binary: 1001100101000100010100101100000000000002
- Hexadecimal: 0x4CA2296000
- Base-36: 477CCIDC
Squares and roots of 329138135040
- 329138135040 squared (3291381350402) is 108331911937609275801600
- 329138135040 cubed (3291381350403) is 35656163460462229873543625048064000
-
The
square root of 329138135040 is 573705.6170546005 -
The
cube root of 329138135040 is 6904.4019732773
Scales and comparisons
How big is 329138135040?- 329,138,135,040 seconds is equal to 10,465 years, 29 weeks, 6 days, 3 hours, 44 minutes.
-
To count from 1 to 329,138,135,040 would take you about twenty 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 329138135040 cubic inches would be around 575.4 feet tall.
Recreational maths with 329138135040
- 329138135040 backwards is 040531831923
- 329138135040 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 329138135040's digits is 39
- More coming soon!
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