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2112411444 = 2231113294693
BaseRepresentation
bin111110111101000…
…1101011100110100
312110012212121201220
41331322031130310
513311234131234
6545340150340
7103230125643
oct17572153464
95405777656
102112411444
11994445a90
124ab5383b0
13278845200
1416079b35a
15c56b9a49
hex7de8d734

2112411444 has 72 divisors (see below), whose sum is σ = 5822544672. Its totient is φ = 590878080.

The previous prime is 2112411419. The next prime is 2112411473. The reversal of 2112411444 is 4441142112.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25039 + ... + 69654.

It is an arithmetic number, because the mean of its divisors is an integer number (80868676).

Almost surely, 22112411444 is an apocalyptic number.

It is an amenable number.

2112411444 is an abundant number, since it is smaller than the sum of its proper divisors (3710133228).

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

2112411444 is a wasteful number, since it uses less digits than its factorization.

2112411444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94737 (or 94722 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 2112411444 is about 45960.9774047507. The cubic root of 2112411444 is about 1283.0970422928.

Adding to 2112411444 its reverse (4441142112), we get a palindrome (6553553556).

The spelling of 2112411444 in words is "two billion, one hundred twelve million, four hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 169 286 338 429 507 572 676 858 1014 1716 1859 2028 3718 5577 7436 11154 22308 94693 189386 284079 378772 568158 1041623 1136316 1231009 2083246 2462018 3124869 3693027 4166492 4924036 6249738 7386054 12499476 13541099 14772108 16003117 27082198 32006234 40623297 48009351 54164396 64012468 81246594 96018702 162493188 176034287 192037404 352068574 528102861 704137148 1056205722 2112411444