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4412004144 = 24391916753
BaseRepresentation
bin1000001101111100…
…11101011100110000
3102101110222000212220
410012332131130300
533013433113034
62005444321040
7214222262562
oct40676353460
912343860786
104412004144
111964509019
12a316a3180
135540a6b52
142dbd61332
151ac50a749
hex106f9d730

4412004144 has 20 divisors (see below), whose sum is σ = 11397677496. Its totient is φ = 1470668032.

The previous prime is 4412004131. The next prime is 4412004167. The reversal of 4412004144 is 4414002144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 3 ways as a sum of consecutive naturals, for example, 45958329 + ... + 45958424.

Almost surely, 24412004144 is an apocalyptic number.

It is an amenable number.

4412004144 is an abundant number, since it is smaller than the sum of its proper divisors (6985673352).

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

4412004144 is a wasteful number, since it uses less digits than its factorization.

4412004144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91916764 (or 91916758 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4412004144 is about 66422.9188157220. The cubic root of 4412004144 is about 1640.1313775380.

Adding to 4412004144 its reverse (4414002144), we get a palindrome (8826006288).

The spelling of 4412004144 in words is "four billion, four hundred twelve million, four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 91916753 183833506 275750259 367667012 551500518 735334024 1103001036 1470668048 2206002072 4412004144