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42334214016 = 273110245349
BaseRepresentation
bin100111011011010100…
…001101011110000000
311001021100021220011110
4213123110031132000
51143200024322031
631240441043320
73026036611323
oct473324153600
9131240256143
1042334214016
1116a54618636
128255786540
133cb88467a3
1420985c47ba
15117b8b5c46
hex9db50d780

42334214016 has 32 divisors (see below), whose sum is σ = 112450257000. Its totient is φ = 14111404544.

The previous prime is 42334213997. The next prime is 42334214053. The reversal of 42334214016 is 61041243324.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55122291 + ... + 55123058.

Almost surely, 242334214016 is an apocalyptic number.

It is an amenable number.

42334214016 is an abundant number, since it is smaller than the sum of its proper divisors (70116042984).

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

42334214016 is a wasteful number, since it uses less digits than its factorization.

42334214016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110245366 (or 110245354 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 42334214016 in words is "forty-two billion, three hundred thirty-four million, two hundred fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 110245349 220490698 330736047 440981396 661472094 881962792 1322944188 1763925584 2645888376 3527851168 5291776752 7055702336 10583553504 14111404672 21167107008 42334214016