Search a number
-
+
14786543040 = 263515402649
BaseRepresentation
bin11011100010101100…
…01011110111000000
31102011111111012210020
431301112023313000
5220240323334130
610443130533440
71032265353633
oct156126136700
942144435706
1014786543040
1162a8688705
122a47b97280
13151855c869
14a03b3bc1a
155b81ece10
hex37158bdc0

14786543040 has 56 divisors (see below), whose sum is σ = 46947277200. Its totient is φ = 3943077888.

The previous prime is 14786543039. The next prime is 14786543041. The reversal of 14786543040 is 4034568741.

14786543040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14786543039) and next prime (14786543041).

It is a junction number, because it is equal to n+sod(n) for n = 14786542983 and 14786543001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14786543041) by changing a digit.

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, 7700365 + ... + 7702284.

Almost surely, 214786543040 is an apocalyptic number.

14786543040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14786543040 is an abundant number, since it is smaller than the sum of its proper divisors (32160734160).

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

14786543040 is a wasteful number, since it uses less digits than its factorization.

14786543040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15402669 (or 15402659 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 14786543040 in words is "fourteen billion, seven hundred eighty-six million, five hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 15402649 30805298 46207947 61610596 77013245 92415894 123221192 154026490 184831788 231039735 246442384 308052980 369663576 462079470 492884768 616105960 739327152 924158940 985769536 1232211920 1478654304 1848317880 2464423840 2957308608 3696635760 4928847680 7393271520 14786543040