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141114765312 = 2123237307337
BaseRepresentation
bin1000001101101100011…
…0000111000000000000
3111111020112022211021100
42003123012013000000
54303000334442222
6144454403054400
713123645466643
oct2033306070000
9444215284240
10141114765312
1154934673894
1223423071400
13103cb812541
146b896d1a5a
153a0da224ac
hex20db187000

141114765312 has 312 divisors, whose sum is σ = 421241636816. Its totient is φ = 45482508288.

The previous prime is 141114765287. The next prime is 141114765313. The reversal of 141114765312 is 213567411141.

141114765312 is a `hidden beast` number, since 1 + 4 + 1 + 114 + 7 + 6 + 531 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141114765313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418738008 + ... + 418738344.

Almost surely, 2141114765312 is an apocalyptic number.

141114765312 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 141114765312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210620818408).

141114765312 is an abundant number, since it is smaller than the sum of its proper divisors (280126871504).

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

141114765312 is a wasteful number, since it uses less digits than its factorization.

141114765312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 686 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The spelling of 141114765312 in words is "one hundred forty-one billion, one hundred fourteen million, seven hundred sixty-five thousand, three hundred twelve".