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141204310632 = 233271189419683
BaseRepresentation
bin1000001110000001101…
…1101100101001101000
3111111110202211012100200
42003200123230221220
54303141300420012
6144511322232200
713126113560010
oct2034033545150
9444422735320
10141204310632
1154980174590
1223449055660
1310414235538
146b97560c40
153a1680e3dc
hex20e06eca68

141204310632 has 384 divisors, whose sum is σ = 484009344000. Its totient is φ = 36124830720.

The previous prime is 141204310609. The next prime is 141204310673. The reversal of 141204310632 is 236013402141.

It is a happy number.

141204310632 is a `hidden beast` number, since 1 + 4 + 1 + 20 + 4 + 3 + 1 + 0 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 141204310596 and 141204310605.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 206740963 + ... + 206741645.

It is an arithmetic number, because the mean of its divisors is an integer number (1260441000).

Almost surely, 2141204310632 is an apocalyptic number.

141204310632 is a gapful number since it is divisible by the number (12) 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 141204310632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242004672000).

141204310632 is an abundant number, since it is smaller than the sum of its proper divisors (342805033368).

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

141204310632 is a wasteful number, since it uses less digits than its factorization.

141204310632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 141204310632 its reverse (236013402141), we get a palindrome (377217712773).

The spelling of 141204310632 in words is "one hundred forty-one billion, two hundred four million, three hundred ten thousand, six hundred thirty-two".