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44320322024 = 23114135934217
BaseRepresentation
bin101001010001101100…
…100111000111101000
311020101202111122011022
4221101230213013220
51211232000301044
632205510152012
73126204343556
oct512154470750
9136352448138
1044320322024
1117883736a10
12870a952608
134244168924
1422062a4bd6
151245e323ee
hexa51b271e8

44320322024 has 64 divisors (see below), whose sum is σ = 93127708800. Its totient is φ = 19598924800.

The previous prime is 44320322003. The next prime is 44320322047. The reversal of 44320322024 is 42022302344.

It is a happy number.

It is a super-2 number, since 2×443203220242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44320321984 and 44320322002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1278164 + ... + 1312380.

It is an arithmetic number, because the mean of its divisors is an integer number (1455120450).

Almost surely, 244320322024 is an apocalyptic number.

44320322024 is a gapful number since it is divisible by the number (44) 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 44320322024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46563854400).

44320322024 is an abundant number, since it is smaller than the sum of its proper divisors (48807386776).

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

44320322024 is a wasteful number, since it uses less digits than its factorization.

44320322024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34634 (or 34630 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 44320322024 its reverse (42022302344), we get a palindrome (86342624368).

The spelling of 44320322024 in words is "forty-four billion, three hundred twenty million, three hundred twenty-two thousand, twenty-four".

Divisors: 1 2 4 8 11 22 41 44 82 88 164 328 359 451 718 902 1436 1804 2872 3608 3949 7898 14719 15796 29438 31592 34217 58876 68434 117752 136868 161909 273736 323818 376387 647636 752774 1295272 1402897 1505548 2805794 3011096 5611588 11223176 12283903 15431867 24567806 30863734 49135612 61727468 98271224 123454936 135122933 270245866 503640023 540491732 1007280046 1080983464 2014560092 4029120184 5540040253 11080080506 22160161012 44320322024