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141412737312 = 2532711191013323
BaseRepresentation
bin1000001110110011011…
…0110010000100100000
3111112000022000101000100
42003230312302010200
54304103130043222
6144544125422400
713134224301660
oct2035466620440
9445008011010
10141412737312
1154a77892640
12234a6a0aa00
1310448480232
146bb70d81a0
153a29c804ac
hex20ecdb2120

141412737312 has 576 divisors, whose sum is σ = 533146199040. Its totient is φ = 34442496000.

The previous prime is 141412737311. The next prime is 141412737317. The reversal of 141412737312 is 213737214141.

141412737312 is a `hidden beast` number, since 141 + 412 + 73 + 7 + 31 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (141412737311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42554083 + ... + 42557405.

It is an arithmetic number, because the mean of its divisors is an integer number (925601040).

Almost surely, 2141412737312 is an apocalyptic number.

141412737312 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 141412737312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266573099520).

141412737312 is an abundant number, since it is smaller than the sum of its proper divisors (391733461728).

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

141412737312 is a wasteful number, since it uses less digits than its factorization.

141412737312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3477 (or 3466 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The spelling of 141412737312 in words is "one hundred forty-one billion, four hundred twelve million, seven hundred thirty-seven thousand, three hundred twelve".