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113344044444 = 223317142943201
BaseRepresentation
bin110100110001111010…
…1001101110110011100
3101211120010211000222000
41221203311031312130
53324112033410234
6124023004122300
711121525324111
oct1514365156634
9354503730860
10113344044444
1144083838204
1219b72836390
13a8c4260927
1456b3386908
152e3599a899
hex1a63d4dd9c

113344044444 has 96 divisors (see below), whose sum is σ = 311365454400. Its totient is φ = 35533209600.

The previous prime is 113344044431. The next prime is 113344044487. The reversal of 113344044444 is 444440443311.

113344044444 is a `hidden beast` number, since 1 + 133 + 4 + 40 + 44 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 113344044399 and 113344044408.

It is a congruent number.

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, 2602044 + ... + 2645244.

It is an arithmetic number, because the mean of its divisors is an integer number (3243390150).

Almost surely, 2113344044444 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 113344044444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155682727200).

113344044444 is an abundant number, since it is smaller than the sum of its proper divisors (198021409956).

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

113344044444 is a wasteful number, since it uses less digits than its factorization.

113344044444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44660 (or 44652 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 113344044444 its reverse (444440443311), we get a palindrome (557784487755).

The spelling of 113344044444 in words is "one hundred thirteen billion, three hundred forty-four million, forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1429 1836 2858 4287 5716 8574 12861 17148 24293 25722 38583 43201 48586 51444 72879 77166 86402 97172 129603 145758 154332 172804 218637 259206 291516 388809 437274 518412 655911 734417 777618 874548 1166427 1311822 1468834 1555236 2203251 2332854 2623644 2937668 4406502 4665708 6609753 8813004 13219506 19829259 26439012 39658518 61734229 79317036 123468458 185202687 246936916 370405374 555608061 740810748 1049481893 1111216122 1666824183 2098963786 2222432244 3148445679 3333648366 4197927572 6296891358 6667296732 9445337037 12593782716 18890674074 28336011111 37781348148 56672022222 113344044444