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141330189312 = 2103413131071
BaseRepresentation
bin1000001110011111101…
…1111000110000000000
3111111210112200111110000
42003213323320300000
54303421012024222
6144532020240000
713132202534154
oct2034773706000
9444715614400
10141330189312
1154a35231054
1223483240000
131043433a170
146baa16b064
153a228c69ac
hex20e7ef8c00

141330189312 has 220 divisors, whose sum is σ = 454507626496. Its totient is φ = 43485880320.

The previous prime is 141330189293. The next prime is 141330189359. The reversal of 141330189312 is 213981033141.

141330189312 is a `hidden beast` number, since 1 + 4 + 1 + 330 + 1 + 8 + 9 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1012737 + ... + 1143807.

Almost surely, 2141330189312 is an apocalyptic number.

141330189312 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 141330189312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227253813248).

141330189312 is an abundant number, since it is smaller than the sum of its proper divisors (313177437184).

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

141330189312 is a wasteful number, since it uses less digits than its factorization.

141330189312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131116 (or 131089 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 141330189312 in words is "one hundred forty-one billion, three hundred thirty million, one hundred eighty-nine thousand, three hundred twelve".