Search a number
-
+
14145040512405 = 32511179159641561
BaseRepresentation
bin1100110111010110011000…
…0111010111010110010101
31212002020211012020101122100
43031311212013113112111
53323223020332344110
650030050352352313
72656642201355235
oct315654607272625
955066735211570
1014145040512405
114563972677360
1217054a1545699
137b7b43b8a65a
1436c8a32a5cc5
15197e293c9bc0
hexcdd661d7595

14145040512405 has 48 divisors (see below), whose sum is σ = 26896410365760. Its totient is φ = 6819887443200.

The previous prime is 14145040512389. The next prime is 14145040512409. The reversal of 14145040512405 is 50421504054141.

14145040512405 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 5 + 0 + 405 + 1 + 240 + 5 = 666.

It is not a de Polignac number, because 14145040512405 - 24 = 14145040512389 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14145040512405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14145040512409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79732176 + ... + 79909385.

It is an arithmetic number, because the mean of its divisors is an integer number (560341882620).

Almost surely, 214145040512405 is an apocalyptic number.

14145040512405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14145040512405 is a deficient number, since it is larger than the sum of its proper divisors (12751369853355).

14145040512405 is a wasteful number, since it uses less digits than its factorization.

14145040512405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159641762 (or 159641759 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Adding to 14145040512405 its reverse (50421504054141), we get a palindrome (64566544566546).

The spelling of 14145040512405 in words is "fourteen trillion, one hundred forty-five billion, forty million, five hundred twelve thousand, four hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 179 495 537 895 1611 1969 2685 5907 8055 9845 17721 29535 88605 159641561 478924683 798207805 1436774049 1756057171 2394623415 5268171513 7183870245 8780285855 15804514539 26340857565 28575839419 79022572695 85727518257 142879197095 257182554771 314334233609 428637591285 943002700827 1285912773855 1571671168045 2829008102481 4715013504135 14145040512405