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140434423164 = 223372294871879
BaseRepresentation
bin1000001011001010001…
…0110011110101111100
3111102111010010212022000
42002302202303311330
54300102203020124
6144303101022300
713101044621100
oct2026242636574
9442433125260
10140434423164
1154615630752
1223273254990
1310320896919
146b231d3900
1539bde346c9
hex20b28b3d7c

140434423164 has 288 divisors, whose sum is σ = 439270272000. Its totient is φ = 38640405888.

The previous prime is 140434423159. The next prime is 140434423169. The reversal of 140434423164 is 461324434041.

140434423164 is a `hidden beast` number, since 1 + 40 + 4 + 34 + 423 + 164 = 666.

140434423164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (140434423159) and next prime (140434423169).

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 (140434423169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74737977 + ... + 74739855.

It is an arithmetic number, because the mean of its divisors is an integer number (1525244000).

Almost surely, 2140434423164 is an apocalyptic number.

140434423164 is a gapful number since it is divisible by the number (14) 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 140434423164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219635136000).

140434423164 is an abundant number, since it is smaller than the sum of its proper divisors (298835848836).

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

140434423164 is a wasteful number, since it uses less digits than its factorization.

140434423164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 140434423164 in words is "one hundred forty billion, four hundred thirty-four million, four hundred twenty-three thousand, one hundred sixty-four".