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44222044022244 = 223211479233135341
BaseRepresentation
bin10100000111000001111110…
…01110011010010111100100
312210120120211021121202101100
422003200333032122113210
521244013221232202434
6234015154312200100
712212636322102234
oct1203407716322744
9183516737552340
1044222044022244
11130aa510a91040
124b62641099030
131b8a1756a88ba
14acc503459cc4
1551a4b4573699
hex28383f39a5e4

44222044022244 has 72 divisors (see below), whose sum is σ = 122200220862720. Its totient is φ = 13372643102400.

The previous prime is 44222044022239. The next prime is 44222044022279.

44222044022244 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 2 + 0 + 4 + 402 + 2 + 244 = 666.

44222044022244 is nontrivially palindromic in base 10.

44222044022244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 44222044022199 and 44222044022208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116377987 + ... + 116757354.

It is an arithmetic number, because the mean of its divisors is an integer number (1697225289760).

Almost surely, 244222044022244 is an apocalyptic number.

44222044022244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44222044022244 is an abundant number, since it is smaller than the sum of its proper divisors (77978176840476).

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

44222044022244 is a wasteful number, since it uses less digits than its factorization.

44222044022244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233135841 (or 233135836 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

It can be divided in two parts, 4422204 and 4022244, that added together give a palindrome (8444448).

The spelling of 44222044022244 in words is "forty-four trillion, two hundred twenty-two billion, forty-four million, twenty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 479 958 1437 1916 2874 4311 5269 5748 8622 10538 15807 17244 21076 31614 47421 63228 94842 189684 233135341 466270682 699406023 932541364 1398812046 2098218069 2564488751 2797624092 4196436138 5128977502 7693466253 8392872276 10257955004 15386932506 23080398759 30773865012 46160797518 92321595036 111671828339 223343656678 335015485017 446687313356 670030970034 1005046455051 1228390111729 1340061940068 2010092910102 2456780223458 3685170335187 4020185820204 4913560446916 7370340670374 11055511005561 14740681340748 22111022011122 44222044022244