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11144001413232 = 2432174552288159
BaseRepresentation
bin1010001000101010101000…
…1111101110000001110000
31110110100121121201102002200
42202022222033232001300
52430040403330210412
635411252241343200
72230061513043402
oct242125217560160
943410547642080
1011144001413232
113607165302036
1212bb947637b00
1362ab4acb0a8c
142a75303a4b72
15144d3382e9dc
hexa22aa3ee070

11144001413232 has 60 divisors (see below), whose sum is σ = 33022298312640. Its totient is φ = 3496157305344.

The previous prime is 11144001413231. The next prime is 11144001413239. The reversal of 11144001413232 is 23231410044111.

It is a happy number.

11144001413232 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 400 + 14 + 13 + 232 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11144001413196 and 11144001413205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11144001413231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2276141632 + ... + 2276146527.

It is an arithmetic number, because the mean of its divisors is an integer number (550371638544).

Almost surely, 211144001413232 is an apocalyptic number.

11144001413232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11144001413232 is an abundant number, since it is smaller than the sum of its proper divisors (21878296899408).

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

11144001413232 is a wasteful number, since it uses less digits than its factorization.

11144001413232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4552288190 (or 4552288181 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11144001413232 its reverse (23231410044111), we get a palindrome (34375411457343).

The spelling of 11144001413232 in words is "eleven trillion, one hundred forty-four billion, one million, four hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 4552288159 9104576318 13656864477 18209152636 27313728954 36418305272 40970593431 54627457908 72836610544 77388898703 81941186862 109254915816 154777797406 163882373724 218509831632 232166696109 309555594812 327764747448 464333392218 619111189624 655529494896 696500088327 928666784436 1238222379248 1393000176654 1857333568872 2786000353308 3714667137744 5572000706616 11144001413232