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141402400932 = 22313193167103223
BaseRepresentation
bin1000001110110000111…
…1010110100010100100
3111111222120120020011110
42003230033112202210
54304043003312212
6144543120105020
713134040401522
oct2035417264244
9444876506143
10141402400932
1154a71a72781
12234a3465170
13104462a1530
146bb59a7312
153a28ddca3c
hex20ec3d68a4

141402400932 has 384 divisors, whose sum is σ = 397426032640. Its totient is φ = 38737543680.

The previous prime is 141402400877. The next prime is 141402400939. The reversal of 141402400932 is 239004204141.

It is a self number, because there is not a number n which added to its sum of digits gives 141402400932.

It is not an unprimeable number, because it can be changed into a prime (141402400939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 634091373 + ... + 634091595.

Almost surely, 2141402400932 is an apocalyptic number.

141402400932 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 141402400932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198713016320).

141402400932 is an abundant number, since it is smaller than the sum of its proper divisors (256023631708).

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

141402400932 is a wasteful number, since it uses less digits than its factorization.

141402400932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 141402400932 in words is "one hundred forty-one billion, four hundred two million, four hundred thousand, nine hundred thirty-two".