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141423206400 = 2133252797113
BaseRepresentation
bin1000001110110101111…
…0101110000000000000
3111112001000201020220100
42003231132232000000
54304113320101100
6144545142042400
713134412264050
oct2035536560000
9445030636810
10141423206400
1154a82793183
12234aa419400
131044a6a7468
146bb8661560
153a2ab4c400
hex20ed7ae000

141423206400 has 1008 divisors, whose sum is σ = 590091544224. Its totient is φ = 31708938240.

The previous prime is 141423206389. The next prime is 141423206401. The reversal of 141423206400 is 4602324141.

It is a happy number.

141423206400 is a `hidden beast` number, since 1 + 4 + 14 + 2 + 3 + 2 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141423206401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1251532744 + ... + 1251532856.

It is an arithmetic number, because the mean of its divisors is an integer number (585408278).

Almost surely, 2141423206400 is an apocalyptic number.

141423206400 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 141423206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295045772112).

141423206400 is an abundant number, since it is smaller than the sum of its proper divisors (448668337824).

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

141423206400 is a wasteful number, since it uses less digits than its factorization.

141423206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 141423206400 in words is "one hundred forty-one billion, four hundred twenty-three million, two hundred six thousand, four hundred".