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4112442004 = 22112193371327
BaseRepresentation
bin1111010100011110…
…1110001010010100
3101121121021200212211
43311013232022110
531410241121004
61520023523204
7203624115556
oct36507561224
911547250784
104112442004
111820403600
129692b9504
13507000448
142b02634d6
15191086504
hexf51ee294

4112442004 has 72 divisors (see below), whose sum is σ = 8357847680. Its totient is φ = 1764322560.

The previous prime is 4112441999. The next prime is 4112442007. The reversal of 4112442004 is 4002442114.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4112442007) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3098389 + ... + 3099715.

Almost surely, 24112442004 is an apocalyptic number.

4112442004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4112442004 is an abundant number, since it is smaller than the sum of its proper divisors (4245405676).

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

4112442004 is a wasteful number, since it uses less digits than its factorization.

4112442004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 4112442004 is about 64128.3245064145. The cubic root of 4112442004 is about 1602.1380276884.

Adding to 4112442004 its reverse (4002442114), we get a palindrome (8114884118).

The spelling of 4112442004 in words is "four billion, one hundred twelve million, four hundred forty-two thousand, four".

Divisors: 1 2 4 11 19 22 38 44 76 121 209 242 337 418 484 674 836 1327 1348 2299 2654 3707 4598 5308 6403 7414 9196 12806 14597 14828 25213 25612 29194 40777 50426 58388 70433 81554 100852 140866 160567 163108 277343 281732 321134 447199 554686 642268 774763 894398 1109372 1549526 1788796 3050773 3099052 4919189 6101546 8496781 9838378 12203092 16993562 19676756 33987124 54111079 93464591 108222158 186929182 216444316 373858364 1028110501 2056221002 4112442004