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141314015232 = 21434138191
BaseRepresentation
bin1000001110011011111…
…0001100000000000000
3111111202102020202210000
42003212332030000000
54303402341441412
6144530241440000
713131615211335
oct2034676140000
9444672222700
10141314015232
1154a27094245
1223479940000
1310430b962c0
146ba7d5a98c
153a2127e4dc
hex20e6f8c000

141314015232 has 300 divisors, whose sum is σ = 454715785216. Its totient is φ = 43475927040.

The previous prime is 141314015203. The next prime is 141314015243. The reversal of 141314015232 is 232510413141.

141314015232 is a `hidden beast` number, since 1 + 4 + 131 + 4 + 0 + 1 + 523 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 141314015196 and 141314015205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17248257 + ... + 17256447.

Almost surely, 2141314015232 is an apocalyptic number.

141314015232 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 141314015232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227357892608).

141314015232 is an abundant number, since it is smaller than the sum of its proper divisors (313401769984).

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

141314015232 is an frugal number, since it uses more digits than its factorization.

141314015232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8244 (or 8209 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 141314015232 its reverse (232510413141), we get a palindrome (373824428373).

The spelling of 141314015232 in words is "one hundred forty-one billion, three hundred fourteen million, fifteen thousand, two hundred thirty-two".