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150143130144 = 25337175359467
BaseRepresentation
bin1000101111010100111…
…0100101101000100000
3112100112201210021112000
42023311032211220200
54424443120131034
6152550320204000
713563454356210
oct2136516455040
9470481707460
10150143130144
1158747978a27
1225122769600
131120a114457
1473a47ac240
153d8b453599
hex22f53a5a20

150143130144 has 768 divisors, whose sum is σ = 550242201600. Its totient is φ = 38858047488.

The previous prime is 150143130139. The next prime is 150143130227. The reversal of 150143130144 is 441031341051.

150143130144 is a `hidden beast` number, since 1 + 501 + 4 + 3 + 13 + 0 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 321505399 + ... + 321505865.

It is an arithmetic number, because the mean of its divisors is an integer number (716461200).

Almost surely, 2150143130144 is an apocalyptic number.

150143130144 is a gapful number since it is divisible by the number (14) 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 150143130144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275121100800).

150143130144 is an abundant number, since it is smaller than the sum of its proper divisors (400099071456).

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

150143130144 is a wasteful number, since it uses less digits than its factorization.

150143130144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 150143130144 its reverse (441031341051), we get a palindrome (591174471195).

The spelling of 150143130144 in words is "one hundred fifty billion, one hundred forty-three million, one hundred thirty thousand, one hundred forty-four".