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141306432512 = 210753431863
BaseRepresentation
bin1000001110011010000…
…1010000110000000000
3111111201212222112020112
42003212201100300000
54303343421320022
6144525411130452
713131463600310
oct2034641206000
9444655875215
10141306432512
1154a22885233
12234772a3a28
131042c43ca9b
146ba6d45440
153a207828e2
hex20e6850c00

141306432512 has 176 divisors, whose sum is σ = 330064699392. Its totient is φ = 59210711040.

The previous prime is 141306432511. The next prime is 141306432571. The reversal of 141306432512 is 215234603141.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (141306432511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163738193 + ... + 163739055.

Almost surely, 2141306432512 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 141306432512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165032349696).

141306432512 is an abundant number, since it is smaller than the sum of its proper divisors (188758266880).

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

141306432512 is an equidigital number, since it uses as much as digits as its factorization.

141306432512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 141306432512 in words is "one hundred forty-one billion, three hundred six million, four hundred thirty-two thousand, five hundred twelve".