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14015403444 = 22377310192243
BaseRepresentation
bin11010000110110001…
…00001010110110100
31100011202110021010110
431003120201112310
5212200420402234
610234422423020
71004212651350
oct150330412664
940152407113
1014015403444
115a4236a059
122871891a70
131424873043
1496d566460
155706771e9
hex3436215b4

14015403444 has 96 divisors (see below), whose sum is σ = 37940474880. Its totient is φ = 3943911168.

The previous prime is 14015403433. The next prime is 14015403461. The reversal of 14015403444 is 44430451041.

It is a super-2 number, since 2×140154034442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6247387 + ... + 6249629.

It is an arithmetic number, because the mean of its divisors is an integer number (395213280).

Almost surely, 214015403444 is an apocalyptic number.

14015403444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14015403444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18970237440).

14015403444 is an abundant number, since it is smaller than the sum of its proper divisors (23925071436).

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

14015403444 is a wasteful number, since it uses less digits than its factorization.

14015403444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3349 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 14015403444 its reverse (44430451041), we get a palindrome (58445854485).

The spelling of 14015403444 in words is "fourteen billion, fifteen million, four hundred three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 146 219 292 438 511 876 1019 1022 1533 2038 2044 2243 3057 3066 4076 4486 6114 6132 6729 7133 8972 12228 13458 14266 15701 21399 26916 28532 31402 42798 47103 62804 74387 85596 94206 148774 163739 188412 223161 297548 327478 446322 491217 520709 654956 892644 982434 1041418 1146173 1562127 1964868 2082836 2285617 2292346 3124254 3438519 4571234 4584692 6248508 6856851 6877038 9142468 13713702 13754076 15999319 27427404 31998638 47997957 63997276 95995914 166850041 191991828 333700082 500550123 667400164 1001100246 1167950287 2002200492 2335900574 3503850861 4671801148 7007701722 14015403444