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12144054101641 = 721122530712619
BaseRepresentation
bin1011000010111000001000…
…0001111110011010001001
31120222221221000021200111021
42300232002001332122021
53042432010322223031
641454522413232441
72362243660455100
oct260560201763211
946887830250437
1012144054101641
11396229aa44570
121441723192721
136a1244166597
142ddabd805037
15160d64a02511
hexb0b8207e689

12144054101641 has 12 divisors (see below), whose sum is σ = 15411007432080. Its totient is φ = 9462899299560.

The previous prime is 12144054101639. The next prime is 12144054101713. The reversal of 12144054101641 is 14610145044121.

It is not a de Polignac number, because 12144054101641 - 21 = 12144054101639 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12144054101597 and 12144054101606.

It is not an unprimeable number, because it can be changed into a prime (12144054101611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11265355771 + ... + 11265356848.

It is an arithmetic number, because the mean of its divisors is an integer number (1284250619340).

Almost surely, 212144054101641 is an apocalyptic number.

12144054101641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12144054101641 is a deficient number, since it is larger than the sum of its proper divisors (3266953330439).

12144054101641 is a wasteful number, since it uses less digits than its factorization.

12144054101641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22530712644 (or 22530712637 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

Adding to 12144054101641 its reverse (14610145044121), we get a palindrome (26754199145762).

The spelling of 12144054101641 in words is "twelve trillion, one hundred forty-four billion, fifty-four million, one hundred one thousand, six hundred forty-one".

Divisors: 1 7 11 49 77 539 22530712619 157714988333 247837838809 1104004918331 1734864871663 12144054101641