Search a number
-
+
150140157552 = 24347211372157
BaseRepresentation
bin1000101111010100001…
…1001111111001110000
3112100112112012020220000
42023311003033321300
54424441340020202
6152550132350000
713563420165600
oct2136503177160
9470475166800
10150140157552
1158746228640
1225121775300
1311209613418
1473a4236c00
153d8b06791c
hex22f50cfe70

150140157552 has 900 divisors, whose sum is σ = 570366947304. Its totient is φ = 37701780480.

The previous prime is 150140157523. The next prime is 150140157613. The reversal of 150140157552 is 255751041051.

150140157552 is a `hidden beast` number, since 1 + 50 + 1 + 4 + 0 + 1 + 57 + 552 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 956306658 + ... + 956306814.

Almost surely, 2150140157552 is an apocalyptic number.

150140157552 is a gapful number since it is divisible by the number (12) 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 150140157552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285183473652).

150140157552 is an abundant number, since it is smaller than the sum of its proper divisors (420226789752).

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

150140157552 is a wasteful number, since it uses less digits than its factorization.

150140157552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 35000, while the sum is 36.

The spelling of 150140157552 in words is "one hundred fifty billion, one hundred forty million, one hundred fifty-seven thousand, five hundred fifty-two".