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42222222222224 = 2411367916520589
BaseRepresentation
bin10011001100110101000001…
…00011101010001110010000
312112111101221021002101211112
421212122200203222032100
521013232102342102344
6225444342054432452
711615312012214512
oct1146324043521620
9175441837071745
1042222222222224
11124a9386793570
12489ab48962728
131a73700038005
14a5d7d0515bb2
154d346c045c9e
hex2666a08ea390

42222222222224 has 40 divisors (see below), whose sum is σ = 89244863588160. Its totient is φ = 19191394601600.

The previous prime is 42222222222211. The next prime is 42222222222269.

42222222222224 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

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, 3214922 + ... + 9735510.

It is an arithmetic number, because the mean of its divisors is an integer number (2231121589704).

Almost surely, 242222222222224 is an apocalyptic number.

42222222222224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42222222222224 is an abundant number, since it is smaller than the sum of its proper divisors (47022641365936).

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

42222222222224 is a wasteful number, since it uses less digits than its factorization.

42222222222224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6557399 (or 6557393 counting only the distinct ones).

The product of its digits is 65536, while the sum is 32.

It can be divided in two parts, 4222222 and 2222224, that added together give a palindrome (6444446).

The spelling of 42222222222224 in words is "forty-two trillion, two hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 36791 73582 147164 294328 404701 588656 809402 1618804 3237608 6475216 6520589 13041178 26082356 52164712 71726479 104329424 143452958 286905916 573811832 1147623664 239898989899 479797979798 959595959596 1919191919192 2638888888889 3838383838384 5277777777778 10555555555556 21111111111112 42222222222224