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140561479296 = 27327891391409
BaseRepresentation
bin1000001011101000011…
…1011111011010000000
3111102210222012222112200
42002322013133122000
54300332214314141
6144323440153200
713104146601120
oct2027207373200
9442728188480
10140561479296
1154680321917
12232a9908800
1310340cc1474
146b36028c80
1539ca180ab6
hex20ba1df680

140561479296 has 384 divisors, whose sum is σ = 471154320000. Its totient is φ = 39395524608.

The previous prime is 140561479291. The next prime is 140561479301. The reversal of 140561479296 is 692974165041.

140561479296 is a `hidden beast` number, since 1 + 4 + 0 + 561 + 4 + 79 + 2 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (140561479291) and next prime (140561479301).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (140561479291) 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 47 ways as a sum of consecutive naturals, for example, 99759040 + ... + 99760448.

It is an arithmetic number, because the mean of its divisors is an integer number (1226964375).

Almost surely, 2140561479296 is an apocalyptic number.

140561479296 is a gapful number since it is divisible by the number (16) 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 140561479296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235577160000).

140561479296 is an abundant number, since it is smaller than the sum of its proper divisors (330592840704).

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

140561479296 is a wasteful number, since it uses less digits than its factorization.

140561479296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 140561479296 in words is "one hundred forty billion, five hundred sixty-one million, four hundred seventy-nine thousand, two hundred ninety-six".