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151016142144 = 2637792296211
BaseRepresentation
bin1000110010100101000…
…0110111010101000000
3112102210120111212211210
42030221100313111000
54433240113022034
6153213104010120
713624215012540
oct2145120672500
9472716455753
10151016142144
115905574784a
1225327000940
1311318c4baba
147448701320
153ddcded8e9
hex2329437540

151016142144 has 224 divisors, whose sum is σ = 464518451200. Its totient is φ = 42408437760.

The previous prime is 151016142131. The next prime is 151016142163. The reversal of 151016142144 is 441241610151.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24311199 + ... + 24317409.

Almost surely, 2151016142144 is an apocalyptic number.

151016142144 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 151016142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232259225600).

151016142144 is an abundant number, since it is smaller than the sum of its proper divisors (313502309056).

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

151016142144 is a wasteful number, since it uses less digits than its factorization.

151016142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6541 (or 6531 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 151016142144 its reverse (441241610151), we get a palindrome (592257752295).

The spelling of 151016142144 in words is "one hundred fifty-one billion, sixteen million, one hundred forty-two thousand, one hundred forty-four".