Search a number
-
+
442142505119 = 72179313161053
BaseRepresentation
bin1100110111100011011…
…11110011100010011111
31120021020200010102222202
412123301233303202133
524221001440130434
6535041212202115
743641463166300
oct6336157634237
91507220112882
10442142505119
11160569a10227
127183476933b
13329035415c3
14175851227a7
15b77b541a7e
hex66f1bf389f

442142505119 has 24 divisors (see below), whose sum is σ = 518858008560. Its totient is φ = 375655722624.

The previous prime is 442142505107. The next prime is 442142505131. The reversal of 442142505119 is 911505241244.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (442142505107) and next prime (442142505131).

It is not a de Polignac number, because 442142505119 - 220 = 442141456543 is a prime.

It is a super-2 number, since 2×4421425051192 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442142505179) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2664797 + ... + 2825849.

It is an arithmetic number, because the mean of its divisors is an integer number (21619083690).

Almost surely, 2442142505119 is an apocalyptic number.

442142505119 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

442142505119 is a deficient number, since it is larger than the sum of its proper divisors (76715503441).

442142505119 is a wasteful number, since it uses less digits than its factorization.

442142505119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161559 (or 161552 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The spelling of 442142505119 in words is "four hundred forty-two billion, one hundred forty-two million, five hundred five thousand, one hundred nineteen".

Divisors: 1 7 49 179 313 1253 2191 8771 15337 56027 161053 392189 1127371 2745323 7891597 28828487 50409589 201799409 352867123 1412595863 2470069861 9023316431 63163215017 442142505119