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151204512240 = 243351095571153
BaseRepresentation
bin1000110011010001111…
…1011100000111110000
3112110021200222002001000
42030310133130013300
54434131323342430
6153243513242000
713631663101515
oct2146437340760
9473250862030
10151204512240
1159142007011
122537a103300
1311348c936b2
14746573730c
153dee70be60
hex23347dc1f0

151204512240 has 320 divisors, whose sum is σ = 526993948800. Its totient is φ = 39844970496.

The previous prime is 151204512229. The next prime is 151204512259. The reversal of 151204512240 is 42215402151.

It is a happy number.

151204512240 is a `hidden beast` number, since 1 + 5 + 120 + 4 + 512 + 24 + 0 = 666.

151204512240 is digitally balanced in base 2, 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131139504 + ... + 131140656.

It is an arithmetic number, because the mean of its divisors is an integer number (1646856090).

Almost surely, 2151204512240 is an apocalyptic number.

151204512240 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 151204512240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263496974400).

151204512240 is an abundant number, since it is smaller than the sum of its proper divisors (375789436560).

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

151204512240 is a wasteful number, since it uses less digits than its factorization.

151204512240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 151204512240 its reverse (42215402151), we get a palindrome (193419914391).

The spelling of 151204512240 in words is "one hundred fifty-one billion, two hundred four million, five hundred twelve thousand, two hundred forty".