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16340253444 = 2234246720443
BaseRepresentation
bin11110011011111010…
…00111101100000100
31120011210001212210000
433031331013230010
5231431101102234
611301232201300
71115632601604
oct171575075404
946153055700
1016340253444
116a25713299
123200399230
131705409028
14b10222c04
15659806899
hex3cdf47b04

16340253444 has 60 divisors (see below), whose sum is σ = 42736055824. Its totient is φ = 5444276976.

The previous prime is 16340253439. The next prime is 16340253473. The reversal of 16340253444 is 44435204361.

16340253444 is a `hidden beast` number, since 163 + 4 + 0 + 2 + 53 + 444 = 666.

It is a super-3 number, since 3×163402534443 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16340253399 and 16340253408.

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 19 ways as a sum of consecutive naturals, for example, 789087 + ... + 809529.

Almost surely, 216340253444 is an apocalyptic number.

It is an amenable number.

16340253444 is an abundant number, since it is smaller than the sum of its proper divisors (26395802380).

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

16340253444 is a wasteful number, since it uses less digits than its factorization.

16340253444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22926 (or 22915 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 16340253444 in words is "sixteen billion, three hundred forty million, two hundred fifty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 2467 4934 7401 9868 14802 20443 22203 29604 40886 44406 61329 66609 81772 88812 122658 133218 183987 199827 245316 266436 367974 399654 551961 735948 799308 1103922 1655883 2207844 3311766 6623532 50432881 100865762 151298643 201731524 302597286 453895929 605194572 907791858 1361687787 1815583716 2723375574 4085063361 5446751148 8170126722 16340253444