10400964251040000
10,400,964,251,040,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 10400964251040000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 6480 divisors.
10400964251040000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of six thousand, four hundred eighty divisors.
Prime factorization of 10400964251040000:
28 × 32 × 54 × 112 × 31 × 37 × 71 × 733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 11 × 11 × 31 × 37 × 71 × 733)See below for interesting mathematical facts about the number 10400964251040000 from the Numbermatics database.
Names of 10400964251040000
- Cardinal: 10400964251040000 can be written as Ten quadrillion, four hundred trillion, nine hundred sixty-four billion, two hundred fifty-one million, forty thousand.
Scientific notation
- Scientific notation: 1.040096425104 × 1016
Factors of 10400964251040000
Divisors of 10400964251040000
- Number of divisors d(n): 6480
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 31 32 33 36 37 40 44 45 48 50 55 60 62 64 66 71 72 74 75 80 88 90 93 96 99 100 110 111 120 121 124 125 128 132 142 144 148 150 155 160 165 176 180 185 186 192 198 200 213 220 222 225 240 242 248 250 256 264 275 279 284 288 296 300 310 320 330 333 341 352 355 360 363 370 372 375 384 396 400 407 426 440 444 450 465 480 484 495 496 500 528 550 555 558 568 576 592 600 605 620 625 639 640 660 666 682 704 710 720 726 733 740 744 750 768 775 781 792 800 814 825 852 880 888 900 925 930 960 968 990 992 1000 1023 1056 1065 1089 1100 1110 1116 1125 1136 1147 1152 1184 1200 1210 1221 1240 1250 1278 1280 1320 1332 1364 1375 1395 1408 1420 1440 1452 1466 1480 1488 1500 1550 1562 1584 1600 1628 1650 1665 1704 1705 1760 1775 1776 1800 1815 1850 1860 1875 1920 1936 1980 1984 2000 2035 2046 2112 2130 2178 2199 2200 2201 2220 2232 2250 2272 2294 2304 2325 2343 2368 2400 2420 2442 2475 2480 2500 2556 2627 2640 2664 2728 2750 2775 2790 2816 2840 2880 2904 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19698795930000 20801928502080 20969685990000 21012048992000 21489595560000 21668675523000 22367665056000 23113253891200 23425595160000 23638555116000 24415409040000 25555194720000 26002410627600 26265061240000 27085844403750 27735904669440 27959581320000 28110714192000 28652794080000 28891567364000 29298490848000 29548193895000 30501361440000 31234126880000 31518073488000 32503013284500 33551497584000 34669880836800 35138392740000 36114459205000 36623113560000 37279441760000 37821688185600 39397591860000 40628766605625 41603857004160 41939371980000 42979191120000 43337351046000 46226507782400 46851190320000 47277110232000 48830818080000 52004821255200 52530122480000 54171688807500 55919162640000 56221428384000 57783134728000 59096387790000 63036146976000 65006026569000 67102995168000 69339761673600 70276785480000 72228918410000 73246227120000 78795183720000 81257533211250 83207714008320 83878743960000 85958382240000 86674702092000 93702380640000 94554220464000 104009642510400 105060244960000 108343377615000 111838325280000 115566269456000 118192775580000 130012053138000 138679523347200 140553570960000 144457836820000 146492454240000 157590367440000 162515066422500 167757487920000 173349404184000 189108440928000 208019285020800 216686755230000 231132538912000 236385551160000 260024106276000 281107141920000 288915673640000 315180734880000 325030132845000 335514975840000 346698808368000 416038570041600 433373510460000 472771102320000 520048212552000 577831347280000 650060265690000 693397616736000 866747020920000 945542204640000 1040096425104000 1155662694560000 1300120531380000 1733494041840000 2080192850208000 2600241062760000 3466988083680000 5200482125520000 10400964251040000
- Sum of all divisors σ(n): 44343407073917952
- Sum of proper divisors (its aliquot sum) s(n): 33942442822877952
- 10400964251040000 is an abundant number, because the sum of its proper divisors (33942442822877952) is greater than itself. Its abundance is 23541478571837952
Bases of 10400964251040000
- Binary: 1001001111001110011111001100111000000100111001000000002
- Hexadecimal: 0x24F39F33813900
- Base-36: 2UEU10I4OW0
Squares and roots of 10400964251040000
- 10400964251040000 squared (104009642510400002) is 108180057351412068141081600000000
- 10400964251040000 cubed (104009642510400003) is 1125176909187493867399422228799524864000000000000
-
The
square root of 10400964251040000 is 101985117.7919602151 -
The
cube root of 10400964251040000 is 218285.3224083751
Scales and comparisons
How big is 10400964251040000?- 10,400,964,251,040,000 seconds is equal to 330,718,490 years, 46 weeks, 1 day, 8 hours.
-
To count from 1 to 10,400,964,251,040,000 would take you about nine hundred ninety-two million, one hundred fifty-five thousand, four hundred seventy-two 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 10400964251040000 cubic inches would be around 18190.4 feet tall.
Recreational maths with 10400964251040000
- 10400964251040000 backwards is 00004015246900401
- 10400964251040000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 10400964251040000's digits is 36
- More coming soon!
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The information we have on file for 10400964251040000 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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