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141331684704 = 2537317614139
BaseRepresentation
bin1000001110100000000…
…1100101110101100000
3111111210122111110201220
42003220001211311200
54303421402402304
6144532112255040
713132221333000
oct2035001456540
9444718443656
10141331684704
1154a36062611
1223483841480
1310434741a02
146baa43a000
153a22abead9
hex20e8065d60

141331684704 has 384 divisors, whose sum is σ = 465720192000. Its totient is φ = 37373091840.

The previous prime is 141331684667. The next prime is 141331684709. The reversal of 141331684704 is 407486133141.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141331684709) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34144267 + ... + 34148405.

It is an arithmetic number, because the mean of its divisors is an integer number (1212813000).

Almost surely, 2141331684704 is an apocalyptic number.

141331684704 is a gapful number since it is divisible by the number (14) 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 141331684704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232860096000).

141331684704 is an abundant number, since it is smaller than the sum of its proper divisors (324388507296).

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

141331684704 is a wasteful number, since it uses less digits than its factorization.

141331684704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4251 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 141331684704 in words is "one hundred forty-one billion, three hundred thirty-one million, six hundred eighty-four thousand, seven hundred four".