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14013325440 = 273252432869
BaseRepresentation
bin11010000110100001…
…00110000010000000
31100011121112200122100
431003100212002000
5212144402403230
610234310110400
71004156205132
oct150320460200
940147480570
1014013325440
115a4117a8a4
12287104b400
1314242c625a
1496d185052
155703b6660
hex343426080

14013325440 has 96 divisors (see below), whose sum is σ = 48389784300. Its totient is φ = 3736885248.

The previous prime is 14013325429. The next prime is 14013325441. The reversal of 14013325440 is 4452331041.

It is a happy number.

14013325440 is a `hidden beast` number, since 1 + 401 + 3 + 3 + 254 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13982589504 + 30735936 = 118248^2 + 5544^2 .

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

It is not an unprimeable number, because it can be changed into a prime (14013325441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1210675 + ... + 1222194.

Almost surely, 214013325440 is an apocalyptic number.

14013325440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14013325440 is an abundant number, since it is smaller than the sum of its proper divisors (34376458860).

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

14013325440 is a wasteful number, since it uses less digits than its factorization.

14013325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432894 (or 2432879 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 14013325440 its reverse (4452331041), we get a palindrome (18465656481).

The spelling of 14013325440 in words is "fourteen billion, thirteen million, three hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 2432869 4865738 7298607 9731476 12164345 14597214 19462952 21895821 24328690 29194428 36493035 38925904 43791642 48657380 58388856 72986070 77851808 87583284 97314760 109479105 116777712 145972140 155703616 175166568 194629520 218958210 233555424 291944280 311407232 350333136 389259040 437916420 467110848 583888560 700666272 778518080 875832840 934221696 1167777120 1401332544 1557036160 1751665680 2335554240 2802665088 3503331360 4671108480 7006662720 14013325440