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140012134346016 = 25336716746731013
BaseRepresentation
bin11111110101011100011101…
…100010000010110100100000
3200100202000210101011012001000
4133311130131202002310200
5121322424322343033031
61213440404144112000
741330354132364132
oct3765343542026440
9610660711135030
10140012134346016
11406808a3802a89
1213853358605600
13601811a652bba
1426808a2abb052
15112c0849483e6
hex7f571d882d20

140012134346016 has 384 divisors, whose sum is σ = 417851889960960. Its totient is φ = 45599512882176.

The previous prime is 140012134345981. The next prime is 140012134346017. The reversal of 140012134346016 is 610643431210041.

140012134346016 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 1 + 2 + 1 + 3 + 43 + 4 + 601 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (140012134346017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4514611726 + ... + 4514642738.

It is an arithmetic number, because the mean of its divisors is an integer number (1088155963440).

Almost surely, 2140012134346016 is an apocalyptic number.

140012134346016 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 140012134346016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208925944980480).

140012134346016 is an abundant number, since it is smaller than the sum of its proper divisors (277839755614944).

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

140012134346016 is a wasteful number, since it uses less digits than its factorization.

140012134346016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31733 (or 31719 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 140012134346016 its reverse (610643431210041), we get a palindrome (750655565556057).

The spelling of 140012134346016 in words is "one hundred forty trillion, twelve billion, one hundred thirty-four million, three hundred forty-six thousand, sixteen".