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151411355040 = 253511244711719
BaseRepresentation
bin1000110100000011010…
…0011110110110100000
3112110211010011210000110
42031000310132312200
54440042301330130
6153320222451320
713640054165661
oct2150064366640
9473733153013
10151411355040
1159238843080
1225417433b40
131137caa549a
147484dbb368
153e12968ab0
hex2340d1eda0

151411355040 has 192 divisors, whose sum is σ = 520561520640. Its totient is φ = 36687651840.

The previous prime is 151411354973. The next prime is 151411355047. The reversal of 151411355040 is 40553114151.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 151411354989 and 151411355007.

It is not an unprimeable number, because it can be changed into a prime (151411355047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12914301 + ... + 12926019.

It is an arithmetic number, because the mean of its divisors is an integer number (2711257920).

Almost surely, 2151411355040 is an apocalyptic number.

151411355040 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 151411355040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260280760320).

151411355040 is an abundant number, since it is smaller than the sum of its proper divisors (369150165600).

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

151411355040 is a wasteful number, since it uses less digits than its factorization.

151411355040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14195 (or 14187 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

Adding to 151411355040 its reverse (40553114151), we get a palindrome (191964469191).

The spelling of 151411355040 in words is "one hundred fifty-one billion, four hundred eleven million, three hundred fifty-five thousand, forty".