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11412344412 = 22327227123873
BaseRepresentation
bin10101010000011101…
…01000111001011100
31002110100100011102200
422220032220321130
5141333030010122
65124234051500
7552544220100
oct125016507134
932410304380
1011412344412
114926a752a7
122265b79b90
1310cb49b921
147a3969900
1546bd905ac
hex2a83a8e5c

11412344412 has 108 divisors (see below), whose sum is σ = 33682967136. Its totient is φ = 3248501760.

The previous prime is 11412344399. The next prime is 11412344431. The reversal of 11412344412 is 21444321411.

11412344412 is a `hidden beast` number, since 1 + 14 + 1 + 234 + 4 + 412 = 666.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 466108 + ... + 489980.

Almost surely, 211412344412 is an apocalyptic number.

11412344412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11412344412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16841483568).

11412344412 is an abundant number, since it is smaller than the sum of its proper divisors (22270622724).

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

11412344412 is a wasteful number, since it uses less digits than its factorization.

11412344412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24168 (or 24156 counting only the distinct ones).

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

Adding to 11412344412 its reverse (21444321411), we get a palindrome (32856665823).

The spelling of 11412344412 in words is "eleven billion, four hundred twelve million, three hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 271 294 441 542 588 813 882 1084 1626 1764 1897 2439 3252 3794 4878 5691 7588 9756 11382 13279 17073 22764 23873 26558 34146 39837 47746 53116 68292 71619 79674 95492 119511 143238 159348 167111 214857 239022 286476 334222 429714 478044 501333 668444 859428 1002666 1169777 1503999 2005332 2339554 3007998 3509331 4679108 6015996 6469583 7018662 10527993 12939166 14037324 19408749 21055986 25878332 38817498 42111972 45287081 58226247 77634996 90574162 116452494 135861243 181148324 232904988 271722486 317009567 407583729 543444972 634019134 815167458 951028701 1268038268 1630334916 1902057402 2853086103 3804114804 5706172206 11412344412