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14044466744 = 2371157139929
BaseRepresentation
bin11010001010001110…
…11000111000111000
31100020210010211110222
431011013120320320
5212230340413434
610241341355212
71005014666120
oct150507307070
940223124428
1014044466744
115a5780a810
12287b568b08
13142a8aa869
1497336dc80
15572eb872e
hex3451d8e38

14044466744 has 64 divisors (see below), whose sum is σ = 32889542400. Its totient is φ = 5462150400.

The previous prime is 14044466741. The next prime is 14044466773. The reversal of 14044466744 is 44766444041.

It is a super-2 number, since 2×140444667442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 14044466695 and 14044466704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14044466741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331772 + ... + 371700.

It is an arithmetic number, because the mean of its divisors is an integer number (513899100).

Almost surely, 214044466744 is an apocalyptic number.

14044466744 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 14044466744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16444771200).

14044466744 is an abundant number, since it is smaller than the sum of its proper divisors (18845075656).

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

14044466744 is a wasteful number, since it uses less digits than its factorization.

14044466744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40524 (or 40520 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 44.

The spelling of 14044466744 in words is "fourteen billion, forty-four million, four hundred sixty-six thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 571 616 1142 2284 3997 4568 6281 7994 12562 15988 25124 31976 39929 43967 50248 79858 87934 159716 175868 279503 319432 351736 439219 559006 878438 1118012 1756876 2236024 3074533 3513752 6149066 12298132 22799459 24596264 45598918 91197836 159596213 182395672 250794049 319192426 501588098 638384852 1003176196 1276769704 1755558343 2006352392 3511116686 7022233372 14044466744