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14113422240 = 253529402963
BaseRepresentation
bin11010010010011100…
…11011101110100000
31100102120220010122020
431021032123232200
5212401014002430
610252243341440
71006513052421
oct151116335640
940376803566
1014113422240
115a92728025
12289a681880
13143bc71b28
1497c59d648
15579089b10
hex34939bba0

14113422240 has 48 divisors (see below), whose sum is σ = 44457281568. Its totient is φ = 3763579136.

The previous prime is 14113422217. The next prime is 14113422353. The reversal of 14113422240 is 4222431141.

14113422240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14113422240.

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 7 ways as a sum of consecutive naturals, for example, 14701002 + ... + 14701961.

It is an arithmetic number, because the mean of its divisors is an integer number (926193366).

Almost surely, 214113422240 is an apocalyptic number.

14113422240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14113422240 is an abundant number, since it is smaller than the sum of its proper divisors (30343859328).

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

14113422240 is a wasteful number, since it uses less digits than its factorization.

14113422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29402981 (or 29402973 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14113422240 its reverse (4222431141), we get a palindrome (18335853381).

The spelling of 14113422240 in words is "fourteen billion, one hundred thirteen million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 29402963 58805926 88208889 117611852 147014815 176417778 235223704 294029630 352835556 441044445 470447408 588059260 705671112 882088890 940894816 1176118520 1411342224 1764177780 2352237040 2822684448 3528355560 4704474080 7056711120 14113422240