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42442244442324 = 22321178951234509
BaseRepresentation
bin10011010011001110110101…
…11001110100100011010100
312120021102211222201020211100
421221213122321310203110
521030333204034123244
6230133410430310100
711640231245222166
oct1151473271644324
9176242758636740
1042442244442324
1112583722580001
124915711958330
131a8b3955118ac
14a6a303824936
154d9048174b69
hex2699dae748d4

42442244442324 has 18 divisors (see below), whose sum is σ = 107284562340410. Its totient is φ = 14147414814096.

The previous prime is 42442244442277. The next prime is 42442244442371. The reversal of 42442244442324 is 42324444224424.

42442244442324 is a `hidden beast` number, since 4 + 2 + 4 + 42 + 244 + 4 + 42 + 324 = 666.

It is an interprime number because it is at equal distance from previous prime (42442244442277) and next prime (42442244442371).

It can be written as a sum of positive squares in only one way, i.e., 38709550890000 + 3732693552324 = 6221700^2 + 1932018^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×424422444423242 (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42442244442324.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 589475617219 + ... + 589475617290.

Almost surely, 242442244442324 is an apocalyptic number.

It is an amenable number.

42442244442324 is an abundant number, since it is smaller than the sum of its proper divisors (64842317898086).

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

42442244442324 is a wasteful number, since it uses less digits than its factorization.

42442244442324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178951234519 (or 1178951234514 counting only the distinct ones).

The product of its digits is 6291456, while the sum is 45.

Adding to 42442244442324 its reverse (42324444224424), we get a palindrome (84766688666748).

The spelling of 42442244442324 in words is "forty-two trillion, four hundred forty-two billion, two hundred forty-four million, four hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1178951234509 2357902469018 3536853703527 4715804938036 7073707407054 10610561110581 14147414814108 21221122221162 42442244442324