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140017314528 = 25337133748131
BaseRepresentation
bin1000001001100110101…
…1101010101011100000
3111101102001021112211000
42002121223222223200
54243223413031103
6144153440552000
713054521351660
oct2023153525340
9441361245730
10140017314528
115442113a873
1223177622600
1310285344c90
146ac3a581a0
1539974e1aa3
hex2099aeaae0

140017314528 has 384 divisors, whose sum is σ = 516221475840. Its totient is φ = 35928852480.

The previous prime is 140017314497. The next prime is 140017314533. The reversal of 140017314528 is 825413710041.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 140017314492 and 140017314501.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2885023 + ... + 2933153.

It is an arithmetic number, because the mean of its divisors is an integer number (1344326760).

Almost surely, 2140017314528 is an apocalyptic number.

140017314528 is a gapful number since it is divisible by the number (18) 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 140017314528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258110737920).

140017314528 is an abundant number, since it is smaller than the sum of its proper divisors (376204161312).

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

140017314528 is a wasteful number, since it uses less digits than its factorization.

140017314528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48207 (or 48193 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 140017314528 in words is "one hundred forty billion, seventeen million, three hundred fourteen thousand, five hundred twenty-eight".