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44430422316 = 22372371323903
BaseRepresentation
bin101001011000010000…
…100111000100101100
311020200102200022100220
4221120100213010230
51211443142003231
632224442051340
73132012233640
oct513020470454
9136612608326
1044430422316
111792a8a6995
12873b7a9b50
134260c07827
142216b64c20
15125092e896
hexa5842712c

44430422316 has 96 divisors (see below), whose sum is σ = 125374169088. Its totient is φ = 11971417920.

The previous prime is 44430422297. The next prime is 44430422347. The reversal of 44430422316 is 61322403444.

It is a super-2 number, since 2×444304223162 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24780 + ... + 299123.

It is an arithmetic number, because the mean of its divisors is an integer number (1305980928).

Almost surely, 244430422316 is an apocalyptic number.

44430422316 is a gapful number since it is divisible by the number (46) 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 44430422316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62687084544).

44430422316 is an abundant number, since it is smaller than the sum of its proper divisors (80943746772).

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

44430422316 is a wasteful number, since it uses less digits than its factorization.

44430422316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324011 (or 324009 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

The spelling of 44430422316 in words is "forty-four billion, four hundred thirty million, four hundred twenty-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 71 84 92 138 142 161 213 276 284 322 426 483 497 644 852 966 994 1491 1633 1932 1988 2982 3266 4899 5964 6532 9798 11431 19596 22862 34293 45724 68586 137172 323903 647806 971709 1295612 1943418 2267321 3886836 4534642 6801963 7449769 9069284 13603926 14899538 22349307 22997113 27207852 29799076 44698614 45994226 52148383 68991339 89397228 91988452 104296766 137982678 156445149 160979791 208593532 275965356 312890298 321959582 482939373 528933599 625780596 643919164 965878746 1057867198 1586800797 1931757492 2115734396 3173601594 3702535193 6347203188 7405070386 11107605579 14810140772 22215211158 44430422316