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150023427840 = 283251121317487
BaseRepresentation
bin1000101110111000010…
…1111101011100000000
3112100020101112202211100
42023232011331130000
54424221444142330
6152530402414400
713560502044666
oct2135605753400
9470211482740
10150023427840
115869634a900
12250aa661400
13111bb392ba0
14739292cc36
153d80bab060
hex22ee17d700

150023427840 has 1296 divisors, whose sum is σ = 651909795264. Its totient is φ = 31531991040.

The previous prime is 150023427833. The next prime is 150023427847. The reversal of 150023427840 is 48724320051.

It is a happy number.

150023427840 is a `hidden beast` number, since 1 + 500 + 2 + 3 + 42 + 78 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (150023427833) and next prime (150023427847).

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

It is a junction number, because it is equal to n+sod(n) for n = 150023427795 and 150023427804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150023427847) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 308056077 + ... + 308056563.

Almost surely, 2150023427840 is an apocalyptic number.

150023427840 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 150023427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325954897632).

150023427840 is an abundant number, since it is smaller than the sum of its proper divisors (501886367424).

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

150023427840 is a wasteful number, since it uses less digits than its factorization.

150023427840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 538 counting only the distinct ones).

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

Adding to 150023427840 its reverse (48724320051), we get a palindrome (198747747891).

The spelling of 150023427840 in words is "one hundred fifty billion, twenty-three million, four hundred twenty-seven thousand, eight hundred forty".