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4112444440 = 2351313995653
BaseRepresentation
bin1111010100011110…
…1110110000011000
3101121121021211020001
43311013232300120
531410241210230
61520023542344
7203624125636
oct36507566030
911547254201
104112444440
111820405415
129692ba9b4
135070015a0
142b0264356
151910870ca
hexf51eec18

4112444440 has 64 divisors (see below), whose sum is σ = 9973656000. Its totient is φ = 1517087232.

The previous prime is 4112444437. The next prime is 4112444471. The reversal of 4112444440 is 444442114.

It is a junction number, because it is equal to n+sod(n) for n = 4112444399 and 4112444408.

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 15 ways as a sum of consecutive naturals, for example, 724654 + ... + 730306.

It is an arithmetic number, because the mean of its divisors is an integer number (155838375).

Almost surely, 24112444440 is an apocalyptic number.

4112444440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4112444440 is an abundant number, since it is smaller than the sum of its proper divisors (5861211560).

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

4112444440 is a wasteful number, since it uses less digits than its factorization.

4112444440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7076 (or 7072 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 4112444440 is about 64128.3434995790. The cubic root of 4112444440 is about 1602.1383440299.

Adding to 4112444440 its reverse (444442114), we get a palindrome (4556886554).

The spelling of 4112444440 in words is "four billion, one hundred twelve million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1399 2798 5596 5653 6995 11192 11306 13990 18187 22612 27980 28265 36374 45224 55960 56530 72748 73489 90935 113060 145496 146978 181870 226120 293956 363740 367445 587912 727480 734890 1469780 2939560 7908547 15817094 31634188 39542735 63268376 79085470 102811111 158170940 205622222 316341880 411244444 514055555 822488888 1028111110 2056222220 4112444440