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60115134240 = 25325710357901
BaseRepresentation
bin110111111111001001…
…000010011100100000
312202011112020020020100
4313333021002130200
51441103433243430
643341055542400
74225465132020
oct677711023440
9182145206210
1060115134240
1123549476127
12b79852aa00
13589056c465
142ca3ca3a80
15186c8e6960
hexdff242720

60115134240 has 288 divisors, whose sum is σ = 236729316096. Its totient is φ = 13606963200.

The previous prime is 60115134229. The next prime is 60115134251. The reversal of 60115134240 is 4243151106.

It is a happy number.

60115134240 is a `hidden beast` number, since 60 + 11 + 513 + 42 + 40 = 666.

60115134240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (60115134229) and next prime (60115134251).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×601151342402 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1009290 + ... + 1067190.

It is an arithmetic number, because the mean of its divisors is an integer number (821976792).

Almost surely, 260115134240 is an apocalyptic number.

60115134240 is a gapful number since it is divisible by the number (60) 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 60115134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118364658048).

60115134240 is an abundant number, since it is smaller than the sum of its proper divisors (176614181856).

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

60115134240 is a wasteful number, since it uses less digits than its factorization.

60115134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58032 (or 58021 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 60115134240 its reverse (4243151106), we get a palindrome (64358285346).

The spelling of 60115134240 in words is "sixty billion, one hundred fifteen million, one hundred thirty-four thousand, two hundred forty".