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78140160000000 = 214335771719
BaseRepresentation
bin10001110001000101101100…
…011110101100000000000000
3101020200010102002202220011000
4101301011230132230000000
540220222021430000000
6434105032142452000
722313304003011010
oct2161055436540000
9336603362686130
1078140160000000
11229970682348aa
128920105594000
13347a77c3805b7
14154200aaa1c40
15907911735000
hex47116c7ac000

78140160000000 has 3840 divisors, whose sum is σ = 368627806310400. Its totient is φ = 15925248000000.

The previous prime is 78140159999971. The next prime is 78140160000101. The reversal of 78140160000000 is 6104187.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×781401600000002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 255 ways as a sum of consecutive naturals, for example, 4112639999991 + ... + 4112640000009.

It is an arithmetic number, because the mean of its divisors is an integer number (95996824560).

Almost surely, 278140160000000 is an apocalyptic number.

78140160000000 is a gapful number since it is divisible by the number (70) 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 78140160000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184313903155200).

78140160000000 is an abundant number, since it is smaller than the sum of its proper divisors (290487646310400).

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

78140160000000 is an frugal number, since it uses more digits than its factorization.

78140160000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 78140160000000 its reverse (6104187), we get a palindrome (78140166104187).

The spelling of 78140160000000 in words is "seventy-eight trillion, one hundred forty billion, one hundred sixty million", and thus it is an aban number.