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14297005440 = 273451716223
BaseRepresentation
bin11010101000010101…
…01111110110000000
31100220101100010110000
431110022233312000
5213240013133230
610322402240000
71014202353414
oct152412576600
940811303400
1014297005440
116077317883
122930056000
13146accb943
14998b0ad44
1558a24eb60
hex3542afd80

14297005440 has 320 divisors, whose sum is σ = 54063884160. Its totient is φ = 3588046848.

The previous prime is 14297005439. The next prime is 14297005441. The reversal of 14297005440 is 4450079241.

It is a happy number.

14297005440 is a `hidden beast` number, since 1 + 42 + 9 + 70 + 0 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14297005439) and next prime (14297005441).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14297005395 and 14297005404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14297005441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 873169 + ... + 889391.

It is an arithmetic number, because the mean of its divisors is an integer number (168949638).

Almost surely, 214297005440 is an apocalyptic number.

14297005440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14297005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27031942080).

14297005440 is an abundant number, since it is smaller than the sum of its proper divisors (39766878720).

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

14297005440 is a wasteful number, since it uses less digits than its factorization.

14297005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16271 (or 16250 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 14297005440 in words is "fourteen billion, two hundred ninety-seven million, five thousand, four hundred forty".