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140014644402204 = 22331113223296913693
BaseRepresentation
bin11111110101011110110011…
…001001001001100000011100
3200100202021021022021020211000
4133311132303021021200130
5121322444442431332304
61213441501211230300
741330503261455165
oct3765366311114034
9610667238236730
10140014644402204
1140681971655390
1213853939148390
13601842a693650
142680a601c876c
15112c17eead939
hex7f57b324981c

140014644402204 has 384 divisors, whose sum is σ = 428550596812800. Its totient is φ = 38973329418240.

The previous prime is 140014644402187. The next prime is 140014644402221. The reversal of 140014644402204 is 402204446410041.

140014644402204 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 1 + 4 + 6 + 4 + 440 + 2 + 204 = 666.

It is an interprime number because it is at equal distance from previous prime (140014644402187) and next prime (140014644402221).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10225264782 + ... + 10225278474.

It is an arithmetic number, because the mean of its divisors is an integer number (1116017179200).

Almost surely, 2140014644402204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140014644402204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214275298406400).

140014644402204 is an abundant number, since it is smaller than the sum of its proper divisors (288535952410596).

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

140014644402204 is a wasteful number, since it uses less digits than its factorization.

140014644402204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16922 (or 16914 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 140014644402204 in words is "one hundred forty trillion, fourteen billion, six hundred forty-four million, four hundred two thousand, two hundred four".