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141402277632 = 28372112911779
BaseRepresentation
bin1000001110110000111…
…0111000011100000000
3111111222120022222000210
42003230032320130000
54304042440341012
6144543113314120
713134036346200
oct2035416703400
9444876288023
10141402277632
1154a71999080
12234a3405940
131044625a385
146bb5974400
153a28db623c
hex20ec3b8700

141402277632 has 432 divisors, whose sum is σ = 494087126400. Its totient is φ = 35458375680.

The previous prime is 141402277619. The next prime is 141402277669. The reversal of 141402277632 is 236772204141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11998719 + ... + 12010497.

It is an arithmetic number, because the mean of its divisors is an integer number (1143720200).

Almost surely, 2141402277632 is an apocalyptic number.

141402277632 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 141402277632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247043563200).

141402277632 is an abundant number, since it is smaller than the sum of its proper divisors (352684848768).

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

141402277632 is a wasteful number, since it uses less digits than its factorization.

141402277632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11852 (or 11831 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 141402277632 in words is "one hundred forty-one billion, four hundred two million, two hundred seventy-seven thousand, six hundred thirty-two".