Search a number
-
+
14012310400040 = 235615156951351
BaseRepresentation
bin1100101111100111111011…
…0010001010110000101000
31211121120020000010001220202
43023321332302022300220
53314034202430300130
645445055545411332
72644233054130511
oct313717662126050
954546200101822
1014012310400040
114512650a14417
1216a381a499b48
137a84804b8224
143662b13a9a08
1519475ba34145
hexcbe7ec8ac28

14012310400040 has 32 divisors (see below), whose sum is σ = 31532824575360. Its totient is φ = 5604012840000.

The previous prime is 14012310400027. The next prime is 14012310400043. The reversal of 14012310400040 is 4000401321041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14012310399985 and 14012310400021.

It is not an unprimeable number, because it can be changed into a prime (14012310400043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28229636 + ... + 28721715.

It is an arithmetic number, because the mean of its divisors is an integer number (985400767980).

Almost surely, 214012310400040 is an apocalyptic number.

14012310400040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14012310400040 is an abundant number, since it is smaller than the sum of its proper divisors (17520514175320).

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

14012310400040 is a wasteful number, since it uses less digits than its factorization.

14012310400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56957513 (or 56957509 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14012310400040 its reverse (4000401321041), we get a palindrome (18012711721081).

The spelling of 14012310400040 in words is "fourteen trillion, twelve billion, three hundred ten million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 6151 12302 24604 30755 49208 61510 123020 246040 56951351 113902702 227805404 284756755 455610808 569513510 1139027020 2278054040 350307760001 700615520002 1401231040004 1751538800005 2802462080008 3503077600010 7006155200020 14012310400040