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11144334132 = 223434396093
BaseRepresentation
bin10100110000100000…
…10000101100110100
31001202200000211110000
422120100100230310
5140310422143012
65041501431300
7543111164031
oct123020205464
931680024400
1011144334132
1147a97601a8
1221b026b530
131087ac1669
1477a122388
1545359eddc
hex298410b34

11144334132 has 30 divisors (see below), whose sum is σ = 29133491618. Its totient is φ = 3714777936.

The previous prime is 11144334127. The next prime is 11144334133. The reversal of 11144334132 is 23143344111.

It can be written as a sum of positive squares in only one way, i.e., 8636728356 + 2507605776 = 92934^2 + 50076^2 .

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 a junction number, because it is equal to n+sod(n) for n = 11144334096 and 11144334105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11144334133) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17197723 + ... + 17198370.

Almost surely, 211144334132 is an apocalyptic number.

11144334132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11144334132 is an abundant number, since it is smaller than the sum of its proper divisors (17989157486).

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

11144334132 is a wasteful number, since it uses less digits than its factorization.

11144334132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34396109 (or 34396098 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 11144334132 its reverse (23143344111), we get a palindrome (34287678243).

The spelling of 11144334132 in words is "eleven billion, one hundred forty-four million, three hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 34396093 68792186 103188279 137584372 206376558 309564837 412753116 619129674 928694511 1238259348 1857389022 2786083533 3714778044 5572167066 11144334132