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13224321144 = 233420407903
BaseRepresentation
bin11000101000011101…
…10010000001111000
31021010121220010020000
430110032302001320
5204040411234034
610024123033000
7645465606066
oct142416620170
937117803200
1013224321144
11567686a231
12269096b760
1313299c31c8
148d647d036
15525eb2599
hex3143b2078

13224321144 has 40 divisors (see below), whose sum is σ = 37040345760. Its totient is φ = 4408106832.

The previous prime is 13224321137. The next prime is 13224321161. The reversal of 13224321144 is 44112342231.

13224321144 is a `hidden beast` number, since 1 + 322 + 4 + 321 + 14 + 4 = 666.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10203304 + ... + 10204599.

It is an arithmetic number, because the mean of its divisors is an integer number (926008644).

Almost surely, 213224321144 is an apocalyptic number.

It is an amenable number.

13224321144 is an abundant number, since it is smaller than the sum of its proper divisors (23816024616).

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

13224321144 is a wasteful number, since it uses less digits than its factorization.

13224321144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20407921 (or 20407908 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 13224321144 its reverse (44112342231), we get a palindrome (57336663375).

The spelling of 13224321144 in words is "thirteen billion, two hundred twenty-four million, three hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 20407903 40815806 61223709 81631612 122447418 163263224 183671127 244894836 367342254 489789672 551013381 734684508 1102026762 1469369016 1653040143 2204053524 3306080286 4408107048 6612160572 13224321144