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442131464995 = 5111719154916067
BaseRepresentation
bin1100110111100010001…
…01101100001100100011
31120021012220100112210021
412123301011230030203
524220441123334440
6535040135414311
743641300305323
oct6336105541443
91507186315707
10442131464995
1116056375a660
1271830b24397
133290117749c
141758388b283
15b77a5b084a
hex66f116c323

442131464995 has 64 divisors (see below), whose sum is σ = 645547968000. Its totient is φ = 286504335360.

The previous prime is 442131464977. The next prime is 442131465001. The reversal of 442131464995 is 599464131244.

It is a happy number.

It is not a de Polignac number, because 442131464995 - 27 = 442131464867 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 27509952 + ... + 27526018.

It is an arithmetic number, because the mean of its divisors is an integer number (10086687000).

Almost surely, 2442131464995 is an apocalyptic number.

442131464995 is a deficient number, since it is larger than the sum of its proper divisors (203416503005).

442131464995 is a wasteful number, since it uses less digits than its factorization.

442131464995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17668.

The product of its digits is 3732480, while the sum is 52.

The spelling of 442131464995 in words is "four hundred forty-two billion, one hundred thirty-one million, four hundred sixty-four thousand, nine hundred ninety-five".

Divisors: 1 5 11 17 19 55 85 95 187 209 323 935 1045 1549 1615 3553 7745 16067 17039 17765 26333 29431 80335 85195 131665 147155 176737 273139 289663 305273 323741 500327 883685 1365695 1448315 1526365 1618705 2501635 3004529 3358003 5189641 5503597 15022645 16790015 24887783 25948205 27517985 57086051 124438915 273765613 285430255 423092311 472867877 1368828065 2115461555 2364339385 4654015421 5201546647 8038753909 23270077105 26007733235 40193769545 88426292999 442131464995