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14022275040 = 253353245897
BaseRepresentation
bin11010000111100101…
…01110111111100000
31100012020101101012000
431003302232333200
5212204200300130
610235230004000
71004325241224
oct150362567740
940166341160
1014022275040
115a46232864
122874046600
13142610a987
14970434784
15571083260
hex343caefe0

14022275040 has 96 divisors (see below), whose sum is σ = 49077977760. Its totient is φ = 3739272192.

The previous prime is 14022275027. The next prime is 14022275051. The reversal of 14022275040 is 4057222041.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 14022274995 and 14022275013.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1618629 + ... + 1627268.

It is an arithmetic number, because the mean of its divisors is an integer number (511228935).

Almost surely, 214022275040 is an apocalyptic number.

14022275040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14022275040 is an abundant number, since it is smaller than the sum of its proper divisors (35055702720).

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

14022275040 is a wasteful number, since it uses less digits than its factorization.

14022275040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3245921 (or 3245907 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 14022275040 its reverse (4057222041), we get a palindrome (18079497081).

The spelling of 14022275040 in words is "fourteen billion, twenty-two million, two hundred seventy-five thousand, 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 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 3245897 6491794 9737691 12983588 16229485 19475382 25967176 29213073 32458970 38950764 48688455 51934352 58426146 64917940 77901528 87639219 97376910 103868704 116852292 129835880 146065365 155803056 175278438 194753820 233704584 259671760 292130730 311606112 350556876 389507640 438196095 467409168 519343520 584261460 701113752 779015280 876392190 934818336 1168522920 1402227504 1558030560 1752784380 2337045840 2804455008 3505568760 4674091680 7011137520 14022275040