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42213233231224 = 23112535071892239
BaseRepresentation
bin10011001100100100010001…
…10001011000010101111000
312112110112201210201100022221
421212102020301120111320
521013110200201344344
6225440254105253424
711614543162104616
oct1146221061302570
9175415653640287
1042213233231224
11124a5593731590
12489925a494274
131a728c9940923
14a5d1ba7686b6
154d30e2ce1184
hex266488c58578

42213233231224 has 32 divisors (see below), whose sum is σ = 86345636025600. Its totient is φ = 19187747457120.

The previous prime is 42213233231209. The next prime is 42213233231269.

It is a happy number.

42213233231224 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 42213233231224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21362497 + ... + 23254735.

It is an arithmetic number, because the mean of its divisors is an integer number (2698301125800).

Almost surely, 242213233231224 is an apocalyptic number.

42213233231224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42213233231224 is an abundant number, since it is smaller than the sum of its proper divisors (44132402794376).

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

42213233231224 is a wasteful number, since it uses less digits than its factorization.

42213233231224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145763 (or 2145759 counting only the distinct ones).

The product of its digits is 82944, while the sum is 34.

It can be divided in two parts, 4221323 and 3231224, that added together give a palindrome (7452547).

The spelling of 42213233231224 in words is "forty-two trillion, two hundred thirteen billion, two hundred thirty-three million, two hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 253507 507014 1014028 1892239 2028056 2788577 3784478 5577154 7568956 11154308 15137912 20814629 22308616 41629258 83258516 166517032 479695832173 959391664346 1918783328692 3837566657384 5276654153903 10553308307806 21106616615612 42213233231224