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141823891440 = 243457113153173
BaseRepresentation
bin1000010000010101011…
…1001101011111110000
3111120001221200011110000
42010011113031133300
54310423404011230
6145053014110000
713150346121030
oct2040527153760
9446057604400
10141823891440
1155168986840
12235a064b300
13104b26c87ba
146c159638c0
153a50de8b60
hex21055cd7f0

141823891440 has 1600 divisors, whose sum is σ = 649624707072. Its totient is φ = 27819417600.

The previous prime is 141823891421. The next prime is 141823891459. The reversal of 141823891440 is 44198328141.

141823891440 is a `hidden beast` number, since 1 + 41 + 82 + 3 + 8 + 91 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (141823891421) and next prime (141823891459).

It is a super-2 number, since 2×1418238914402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 819791194 + ... + 819791366.

Almost surely, 2141823891440 is an apocalyptic number.

141823891440 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 141823891440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324812353536).

141823891440 is an abundant number, since it is smaller than the sum of its proper divisors (507800815632).

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

141823891440 is a wasteful number, since it uses less digits than its factorization.

141823891440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 141823891440 in words is "one hundred forty-one billion, eight hundred twenty-three million, eight hundred ninety-one thousand, four hundred forty".