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151464495240 = 23355103151289
BaseRepresentation
bin1000110100001111111…
…1001100100010001000
3112110221211011120200000
42031003333030202020
54440144402321430
6153325401443000
713641300652452
oct2150377144210
9473854146600
10151464495240
11592658390a3
12254311a0460
131138aabcca6
14748c0912d2
153e17463e60
hex2343fcc888

151464495240 has 192 divisors, whose sum is σ = 515451081600. Its totient is φ = 39998126592.

The previous prime is 151464495211. The next prime is 151464495277. The reversal of 151464495240 is 42594464151.

151464495240 is a `hidden beast` number, since 1 + 514 + 6 + 4 + 4 + 95 + 2 + 40 = 666.

151464495240 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 925516 + ... + 1076804.

It is an arithmetic number, because the mean of its divisors is an integer number (2684641050).

Almost surely, 2151464495240 is an apocalyptic number.

151464495240 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 151464495240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257725540800).

151464495240 is an abundant number, since it is smaller than the sum of its proper divisors (363986586360).

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

151464495240 is a wasteful number, since it uses less digits than its factorization.

151464495240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151418 (or 151402 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 151464495240 in words is "one hundred fifty-one billion, four hundred sixty-four million, four hundred ninety-five thousand, two hundred forty".