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150840742320 = 24335431998161
BaseRepresentation
bin1000110001111011001…
…1110001000110110000
3112102100100110122112000
42030132303301012300
54432410212223240
6153143440334000
713616655104022
oct2143663610660
9472310418460
10150840742320
1158a75737314
1225298314300
13112bb7c8a18
14742d2c4012
153dcc803430
hex231ecf11b0

150840742320 has 320 divisors, whose sum is σ = 534382464000. Its totient is φ = 39086530560.

The previous prime is 150840742279. The next prime is 150840742333. The reversal of 150840742320 is 23247048051.

It is a happy number.

150840742320 is a `hidden beast` number, since 1 + 508 + 40 + 74 + 23 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18479040 + ... + 18487200.

It is an arithmetic number, because the mean of its divisors is an integer number (1669945200).

Almost surely, 2150840742320 is an apocalyptic number.

150840742320 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 150840742320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267191232000).

150840742320 is an abundant number, since it is smaller than the sum of its proper divisors (383541721680).

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

150840742320 is a wasteful number, since it uses less digits than its factorization.

150840742320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8425 (or 8413 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 150840742320 in words is "one hundred fifty billion, eight hundred forty million, seven hundred forty-two thousand, three hundred twenty".