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4415665144 = 231199750329
BaseRepresentation
bin1000001110011000…
…11011001111111000
3102101201212000211111
410013030123033320
533020402241034
62010055010104
7214265351212
oct40714331770
912351760744
104415665144
111966589640
12a32969934
13554a89317
142dc6355b2
151ac9d0364
hex10731b3f8

4415665144 has 32 divisors (see below), whose sum is σ = 9041281200. Its totient is φ = 2005067520.

The previous prime is 4415665139. The next prime is 4415665201.

It is a happy number.

4415665144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4415665097 and 4415665106.

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 7 ways as a sum of consecutive naturals, for example, 62572 + ... + 112900.

Almost surely, 24415665144 is an apocalyptic number.

4415665144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4415665144 is an abundant number, since it is smaller than the sum of its proper divisors (4625616056).

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

4415665144 is a wasteful number, since it uses less digits than its factorization.

4415665144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51343 (or 51339 counting only the distinct ones).

The product of its digits is 230400, while the sum is 40.

The square root of 4415665144 is about 66450.4713602545. The cubic root of 4415665144 is about 1640.5849024160.

The spelling of 4415665144 in words is "four billion, four hundred fifteen million, six hundred sixty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 997 1994 3988 7976 10967 21934 43868 50329 87736 100658 201316 402632 553619 1107238 2214476 4428952 50178013 100356026 200712052 401424104 551958143 1103916286 2207832572 4415665144