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140309859227328 = 263575232464349
BaseRepresentation
bin11111111001110001101111…
…010100010101011011000000
3200101210111021100001012200000
4133321301233110111123000
5121342314042430233303
61214225243125400000
741361024053204430
oct3771615724253300
9611714240035600
10140309859227328
11407860937329aa
12138a0ba7b69000
13603a21700b81b
1426910679ca2c0
151134bac4ecda3
hex7f9c6f5156c0

140309859227328 has 336 divisors, whose sum is σ = 477560905785600. Its totient is φ = 40011863860224.

The previous prime is 140309859227269. The next prime is 140309859227383. The reversal of 140309859227328 is 823722958903041.

140309859227328 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 0 + 9 + 8 + 592 + 2 + 7 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55703698 + ... + 58168046.

It is an arithmetic number, because the mean of its divisors is an integer number (1421312219600).

Almost surely, 2140309859227328 is an apocalyptic number.

140309859227328 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 140309859227328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238780452892800).

140309859227328 is an abundant number, since it is smaller than the sum of its proper divisors (337251046558272).

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

140309859227328 is an equidigital number, since it uses as much as digits as its factorization.

140309859227328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464906 (or 2464884 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 140309859227328 in words is "one hundred forty trillion, three hundred nine billion, eight hundred fifty-nine million, two hundred twenty-seven thousand, three hundred twenty-eight".