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2111442444 = 2233373111699
BaseRepresentation
bin111110111011010…
…0000111000001100
312110011001101112000
41331312200320030
513311012124234
6545303312300
7103215651606
oct17566407014
95404041460
102111442444
11993943a61
124ab14b690
13278596137
141605c8176
15c5577899
hex7dda0e0c

2111442444 has 96 divisors (see below), whose sum is σ = 5643456000. Its totient is φ = 682188480.

The previous prime is 2111442419. The next prime is 2111442451. The reversal of 2111442444 is 4442441112.

It is a happy number.

2111442444 is a `hidden beast` number, since 211 + 1 + 4 + 4 + 2 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1241907 + ... + 1243605.

It is an arithmetic number, because the mean of its divisors is an integer number (58786000).

Almost surely, 22111442444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111442444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821728000).

2111442444 is an abundant number, since it is smaller than the sum of its proper divisors (3532013556).

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

2111442444 is a wasteful number, since it uses less digits than its factorization.

2111442444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2052 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 2111442444 is about 45950.4346442991. The cubic root of 2111442444 is about 1282.9008192832.

Adding to 2111442444 its reverse (4442441112), we get a palindrome (6553883556).

The spelling of 2111442444 in words is "two billion, one hundred eleven million, four hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 311 333 444 622 666 933 999 1244 1332 1699 1866 1998 2799 3398 3732 3996 5097 5598 6796 8397 10194 11196 11507 15291 16794 20388 23014 30582 33588 34521 45873 46028 61164 62863 69042 91746 103563 125726 138084 183492 188589 207126 251452 310689 377178 414252 528389 565767 621378 754356 1056778 1131534 1242756 1585167 1697301 2113556 2263068 3170334 3394602 4755501 6340668 6789204 9511002 14266503 19022004 19550393 28533006 39100786 57066012 58651179 78201572 117302358 175953537 234604716 351907074 527860611 703814148 1055721222 2111442444