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141400183680 = 273557129887
BaseRepresentation
bin1000001110110000011…
…0111001001110000000
3111111222102101120200000
42003230012321032000
54304041421334210
6144543000400000
713134012505320
oct2035406711600
9444872346600
10141400183680
1154a70798938
12234a2776000
13104459a6252
146bb558b280
153a28b00ac0
hex20ec1b9380

141400183680 has 384 divisors, whose sum is σ = 578697799680. Its totient is φ = 32319793152.

The previous prime is 141400183669. The next prime is 141400183681. The reversal of 141400183680 is 86381004141.

It is a happy number.

141400183680 is a `hidden beast` number, since 1 + 414 + 0 + 0 + 183 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (141400183681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1023697 + ... + 1153583.

It is an arithmetic number, because the mean of its divisors is an integer number (1507025520).

Almost surely, 2141400183680 is an apocalyptic number.

141400183680 is a gapful number since it is divisible by the number (10) 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 141400183680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289348899840).

141400183680 is an abundant number, since it is smaller than the sum of its proper divisors (437297616000).

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

141400183680 is an equidigital number, since it uses as much as digits as its factorization.

141400183680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129928 (or 129904 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 141400183680 in words is "one hundred forty-one billion, four hundred million, one hundred eighty-three thousand, six hundred eighty".