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42222111122224 = 2411311771377359
BaseRepresentation
bin10011001100110100110011…
…11011110110001100110000
312112111101122112000221021201
421212122121323312030300
521013231340421402344
6225444323045300544
711615306162662015
oct1146323173661460
9175441575027251
1042222111122224
11124a932a000490
12489ab17704754
131a736b3009077
14a5d7bd87570c
154d34623ec4d4
hex266699ef6330

42222111122224 has 40 divisors (see below), whose sum is σ = 89529141911040. Its totient is φ = 19130158478400.

The previous prime is 42222111122203. The next prime is 42222111122239.

It is a happy number.

42222111122224 is nontrivially palindromic in base 10.

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 = 42222111122192 and 42222111122201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 385633944 + ... + 385743415.

It is an arithmetic number, because the mean of its divisors is an integer number (2238228547776).

Almost surely, 242222111122224 is an apocalyptic number.

42222111122224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42222111122224 is an abundant number, since it is smaller than the sum of its proper divisors (47307030788816).

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

42222111122224 is a wasteful number, since it uses less digits than its factorization.

42222111122224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771377689 (or 771377683 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

It can be divided in two parts, 4222211 and 1122224, that added together give a palindrome (5344435).

The spelling of 42222111122224 in words is "forty-two trillion, two hundred twenty-two billion, one hundred eleven million, one hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 311 622 1244 2488 3421 4976 6842 13684 27368 54736 771377359 1542754718 3085509436 6171018872 8485150949 12342037744 16970301898 33940603796 67881207592 135762415184 239898358649 479796717298 959593434596 1919186869192 2638881945139 3838373738384 5277763890278 10555527780556 21111055561112 42222111122224