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150141371400 = 233252438232357
BaseRepresentation
bin1000101111010100011…
…1111000010000001000
3112100112121110220222100
42023311013320100020
54424442142341100
6152550214353400
713563433412526
oct2136507702010
9470477426870
10150141371400
1158746987619
122512205b860
1311209949a87
1473a4471316
153d8b207400
hex22f51f8408

150141371400 has 288 divisors, whose sum is σ = 516797012160. Its totient is φ = 39042501120.

The previous prime is 150141371383. The next prime is 150141371407. The reversal of 150141371400 is 4173141051.

150141371400 is a `hidden beast` number, since 1 + 50 + 141 + 3 + 71 + 400 = 666.

It is not an unprimeable number, because it can be changed into a prime (150141371407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63699022 + ... + 63701378.

It is an arithmetic number, because the mean of its divisors is an integer number (1794434070).

Almost surely, 2150141371400 is an apocalyptic number.

150141371400 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 150141371400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258398506080).

150141371400 is an abundant number, since it is smaller than the sum of its proper divisors (366655640760).

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

150141371400 is a wasteful number, since it uses less digits than its factorization.

150141371400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3245 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 150141371400 in words is "one hundred fifty billion, one hundred forty-one million, three hundred seventy-one thousand, four hundred".