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444113345136 = 24390641102077
BaseRepresentation
bin1100111011001110011…
…01111101101001110000
31120110100000121111020110
412131213031331221300
524234021004021021
6540004534141320
744041354101456
oct6354715755160
91513300544213
10444113345136
1116139045052a
12720a47b1840
1332b58949126
14176d0b8a9d6
15b844594476
hex676737da70

444113345136 has 40 divisors (see below), whose sum is σ = 1147316705424. Its totient is φ = 148034698240.

The previous prime is 444113345051. The next prime is 444113345141. The reversal of 444113345136 is 631543311444.

It is a junction number, because it is equal to n+sod(n) for n = 444113345094 and 444113345103.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4299730 + ... + 4401806.

Almost surely, 2444113345136 is an apocalyptic number.

It is an amenable number.

444113345136 is an abundant number, since it is smaller than the sum of its proper divisors (703203360288).

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

444113345136 is a wasteful number, since it uses less digits than its factorization.

444113345136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192729 (or 192723 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

The spelling of 444113345136 in words is "four hundred forty-four billion, one hundred thirteen million, three hundred forty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 90641 102077 181282 204154 271923 306231 362564 408308 543846 612462 725128 816616 1087692 1224924 1450256 1633232 2175384 2449848 4350768 4899696 9252361357 18504722714 27757084071 37009445428 55514168142 74018890856 111028336284 148037781712 222056672568 444113345136