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1401324222240 = 25345108126869
BaseRepresentation
bin10100011001000101011…
…011101011011100100000
311221222001200202020220000
4110121011123223130200
5140424403000102430
62551432013220000
7203146056233205
oct24310533533440
94858050666800
101401324222240
114a0330a9a038
121a7704791600
13a21b5073027
144bb78433cac
15266b9536e60
hex146456eb720

1401324222240 has 120 divisors (see below), whose sum is σ = 4945506780060. Its totient is φ = 373686455808.

The previous prime is 1401324222229. The next prime is 1401324222269. The reversal of 1401324222240 is 422224231041.

It is a happy number.

1401324222240 is a `hidden beast` number, since 1 + 4 + 0 + 13 + 2 + 422 + 224 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1349509715856 + 51814506384 = 1161684^2 + 227628^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54050475 + ... + 54076394.

Almost surely, 21401324222240 is an apocalyptic number.

1401324222240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1401324222240 is an abundant number, since it is smaller than the sum of its proper divisors (3544182557820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1401324222240 is a wasteful number, since it uses less digits than its factorization.

1401324222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108126896 (or 108126879 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1401324222240 its reverse (422224231041), we get a palindrome (1823548453281).

The spelling of 1401324222240 in words is "one trillion, four hundred one billion, three hundred twenty-four million, two hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 108126869 216253738 324380607 432507476 540634345 648761214 865014952 973141821 1081268690 1297522428 1621903035 1730029904 1946283642 2162537380 2595044856 2919425463 3243806070 3460059808 3892567284 4325074760 4865709105 5190089712 5838850926 6487612140 7785134568 8650149520 8758276389 9731418210 10380179424 11677701852 12975224280 14597127315 15570269136 17300299040 17516552778 19462836420 23355403704 25950448560 29194254630 31140538272 35033105556 38925672840 43791381945 46710807408 51900897120 58388509260 70066211112 77851345680 87582763890 93421614816 116777018520 140132422224 155702691360 175165527780 233554037040 280264844448 350331055560 467108074080 700662111120 1401324222240