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44342131224 = 23361186716223
BaseRepresentation
bin101001010010111111…
…110011101000011000
311020110021112122202110
4221102333303220120
51211303041144344
632212005432320
73126560616336
oct512277635030
9136407478673
1044342131224
1117894a82546
12871610b6a0
134248833691
142209140b56
151247cde3b9
hexa52ff3a18

44342131224 has 64 divisors (see below), whose sum is σ = 112739927040. Its totient is φ = 14529720960.

The previous prime is 44342131217. The next prime is 44342131307. The reversal of 44342131224 is 42213124344.

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 = 44342131191 and 44342131200.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2725177 + ... + 2741399.

It is an arithmetic number, because the mean of its divisors is an integer number (1761561360).

Almost surely, 244342131224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44342131224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56369963520).

44342131224 is an abundant number, since it is smaller than the sum of its proper divisors (68397795816).

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

44342131224 is a wasteful number, since it uses less digits than its factorization.

44342131224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18160 (or 18156 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 44342131224 its reverse (42213124344), we get a palindrome (86555255568).

The spelling of 44342131224 in words is "forty-four billion, three hundred forty-two million, one hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1464 1867 3734 5601 7468 11202 14936 16223 22404 32446 44808 48669 64892 97338 113887 129784 194676 227774 341661 389352 455548 683322 911096 989603 1366644 1979206 2733288 2968809 3958412 5937618 7916824 11875236 23750472 30288341 60576682 90865023 121153364 181730046 242306728 363460092 726920184 1847588801 3695177602 5542766403 7390355204 11085532806 14780710408 22171065612 44342131224