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13293427140 = 223257195310477
BaseRepresentation
bin11000110000101100…
…11001100111000100
31021022102221001211100
430120112121213010
5204211104132030
610035032140100
7650265160230
oct143026314704
937272831740
1013293427140
11570187a624
1226abb37630
13133b10ab26
1490170b5c0
1552c0b3360
hex3185999c4

13293427140 has 288 divisors, whose sum is σ = 49429336320. Its totient is φ = 2823994368.

The previous prime is 13293427127. The next prime is 13293427141. The reversal of 13293427140 is 4172439231.

It is a happy number.

13293427140 is a `hidden beast` number, since 1 + 3 + 2 + 93 + 427 + 140 = 666.

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 = 13293427095 and 13293427104.

It is not an unprimeable number, because it can be changed into a prime (13293427141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1263582 + ... + 1274058.

It is an arithmetic number, because the mean of its divisors is an integer number (171629640).

Almost surely, 213293427140 is an apocalyptic number.

13293427140 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 13293427140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24714668160).

13293427140 is an abundant number, since it is smaller than the sum of its proper divisors (36135909180).

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

13293427140 is a wasteful number, since it uses less digits than its factorization.

13293427140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10571 (or 10566 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 13293427140 in words is "thirteen billion, two hundred ninety-three million, four hundred twenty-seven thousand, one hundred forty".