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14730466403741 = 114789320137057
BaseRepresentation
bin1101011001011011010000…
…1101111010010110011101
31221011012220112100000112012
43112112310031322112131
53412320443344404431
651155025521121005
73050145455342444
oct326266415722635
957135815300465
1014730466403741
11476a179298350
12179aa43489165
1382b1002a720a
1438cd5bb09d5b
151a828ea0d22b
hexd65b437a59d

14730466403741 has 16 divisors (see below), whose sum is σ = 16595905086720. Its totient is φ = 12959148026880.

The previous prime is 14730466403711. The next prime is 14730466403771.

14730466403741 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (14730466403711) and next prime (14730466403771).

It is a de Polignac number, because none of the positive numbers 2k-14730466403741 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14730466403741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14730466403711) 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, 160022516 + ... + 160114541.

It is an arithmetic number, because the mean of its divisors is an integer number (1037244067920).

Almost surely, 214730466403741 is an apocalyptic number.

14730466403741 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14730466403741 is a deficient number, since it is larger than the sum of its proper divisors (1865438682979).

14730466403741 is a wasteful number, since it uses less digits than its factorization.

14730466403741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320137204.

The product of its (nonzero) digits is 4064256, while the sum is 50.

It can be divided in two parts, 1473046 and 6403741, that added together give a palindrome (7876787).

The spelling of 14730466403741 in words is "fourteen trillion, seven hundred thirty billion, four hundred sixty-six million, four hundred three thousand, seven hundred forty-one".

Divisors: 1 11 47 89 517 979 4183 46013 320137057 3521507627 15046441679 28492198073 165510858469 313414178803 1339133309431 14730466403741