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42223422432224 = 2511165829723353
BaseRepresentation
bin10011001100110111010000…
…00110000110001111100000
312112111112000220111101102202
421212123220012012033200
521013242032120312344
6225445101131232332
711615353524636155
oct1146335006061740
9175445026441382
1042223422432224
11124a9942223060
12489b2228a86a8
131a738618a3c47
14a5d8a5a9c22c
154d34dc5c394e
hex2666e81863e0

42223422432224 has 48 divisors (see below), whose sum is σ = 90685068127920. Its totient is φ = 19192322472960.

The previous prime is 42223422432157. The next prime is 42223422432227.

42223422432224 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42223422432227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58010132 + ... + 58733484.

It is an arithmetic number, because the mean of its divisors is an integer number (1889272252665).

Almost surely, 242223422432224 is an apocalyptic number.

42223422432224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42223422432224 is an abundant number, since it is smaller than the sum of its proper divisors (48461645695696).

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

42223422432224 is a wasteful number, since it uses less digits than its factorization.

42223422432224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889203 (or 889195 counting only the distinct ones).

The product of its digits is 589824, while the sum is 38.

It can be divided in two parts, 4222342 and 2432224, that added together give a palindrome (6654566).

The spelling of 42223422432224 in words is "forty-two trillion, two hundred twenty-three billion, four hundred twenty-two million, four hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 165829 331658 663316 723353 1326632 1446706 1824119 2653264 2893412 3648238 5306528 5786824 7296476 7956883 11573648 14592952 15913766 23147296 29185904 31827532 58371808 63655064 127310128 254620256 119952904637 239905809274 479811618548 959623237096 1319481951007 1919246474192 2638963902014 3838492948384 5277927804028 10555855608056 21111711216112 42223422432224