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11232400144 = 247243333187
BaseRepresentation
bin10100111011000000…
…01101001100010000
31001222210202001022011
422131200031030100
5141000443301034
65054325152304
7545230553200
oct123540151420
931883661264
1011232400144
114844440529
12221585b694
1310a0117224
14787ac8400
1545b198864
hex29d80d310

11232400144 has 60 divisors (see below), whose sum is σ = 25904700624. Its totient is φ = 4701920832.

The previous prime is 11232400111. The next prime is 11232400169. The reversal of 11232400144 is 44100423211.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132882 + ... + 200305.

Almost surely, 211232400144 is an apocalyptic number.

11232400144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11232400144 is an abundant number, since it is smaller than the sum of its proper divisors (14672300480).

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

11232400144 is a wasteful number, since it uses less digits than its factorization.

11232400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333252 (or 333239 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 11232400144 its reverse (44100423211), we get a palindrome (55332823355).

The spelling of 11232400144 in words is "eleven billion, two hundred thirty-two million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 43 49 56 86 98 112 172 196 301 344 392 602 688 784 1204 2107 2408 4214 4816 8428 16856 33712 333187 666374 1332748 2332309 2665496 4664618 5330992 9329236 14327041 16326163 18658472 28654082 32652326 37316944 57308164 65304652 100289287 114616328 130609304 200578574 229232656 261218608 401157148 702025009 802314296 1404050018 1604628592 2808100036 5616200072 11232400144