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141410929072 = 24722359612179
BaseRepresentation
bin1000001110110010111…
…1111000100110110000
3111112000011121111120111
42003230233320212300
54304102144212242
6144544022551104
713134203031100
oct2035457704660
9445004544514
10141410929072
1154a76868026
12234a6298494
1310447c9917a
146bb6b87200
153a29a24817
hex20ecbf89b0

141410929072 has 240 divisors, whose sum is σ = 343911916800. Its totient is φ = 56027220480.

The previous prime is 141410929067. The next prime is 141410929073. The reversal of 141410929072 is 270929014141.

141410929072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1414109290722 (a number of 23 digits) contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (141410929073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64896079 + ... + 64898257.

It is an arithmetic number, because the mean of its divisors is an integer number (1432966320).

Almost surely, 2141410929072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141410929072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171955958400).

141410929072 is an abundant number, since it is smaller than the sum of its proper divisors (202500987728).

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

141410929072 is a wasteful number, since it uses less digits than its factorization.

141410929072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 141410929072 in words is "one hundred forty-one billion, four hundred ten million, nine hundred twenty-nine thousand, seventy-two".