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11214213444 = 2232744500847
BaseRepresentation
bin10100111000110101…
…10101000101000100
31001221112112001211200
422130122311011010
5140431314312234
65052435302500
7544620145560
oct123432650504
931845461750
1011214213444
1148351495a5
12220b74aa30
13109941a275
147855126a0
154597a4d99
hex29c6b5144

11214213444 has 36 divisors (see below), whose sum is σ = 32396617344. Its totient is φ = 3204060912.

The previous prime is 11214213407. The next prime is 11214213467. The reversal of 11214213444 is 44431241211.

11214213444 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 4 + 213 + 444 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×112142134442 (a number of 21 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 22250172 + ... + 22250675.

Almost surely, 211214213444 is an apocalyptic number.

11214213444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11214213444 is an abundant number, since it is smaller than the sum of its proper divisors (21182403900).

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

11214213444 is a wasteful number, since it uses less digits than its factorization.

11214213444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44500864 (or 44500859 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 11214213444 its reverse (44431241211), we get a palindrome (55645454655).

The spelling of 11214213444 in words is "eleven billion, two hundred fourteen million, two hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 44500847 89001694 133502541 178003388 267005082 311505929 400507623 534010164 623011858 801015246 934517787 1246023716 1602030492 1869035574 2803553361 3738071148 5607106722 11214213444