Search a number
-
+
14101242375 = 353119073769
BaseRepresentation
bin11010010000111111…
…11110001000000111
31100101201222100000010
431020133332020013
5212334404224000
610251130321303
71006304403543
oct151037761007
940351870003
1014101242375
115a86869120
122896589233
131439598ccc
1497ab0ca23
15577e80d50
hex3487fe207

14101242375 has 64 divisors (see below), whose sum is σ = 25632622080. Its totient is φ = 6827616000.

The previous prime is 14101242349. The next prime is 14101242377. The reversal of 14101242375 is 57324210141.

It is not a de Polignac number, because 14101242375 - 25 = 14101242343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14101242377) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3739491 + ... + 3743259.

It is an arithmetic number, because the mean of its divisors is an integer number (400509720).

Almost surely, 214101242375 is an apocalyptic number.

14101242375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14101242375 is a deficient number, since it is larger than the sum of its proper divisors (11531379705).

14101242375 is a wasteful number, since it uses less digits than its factorization.

14101242375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4705 (or 4695 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 14101242375 in words is "fourteen billion, one hundred one million, two hundred forty-two thousand, three hundred seventy-five".

Divisors: 1 3 5 11 15 25 33 55 75 125 165 275 375 825 907 1375 2721 3769 4125 4535 9977 11307 13605 18845 22675 29931 41459 49885 56535 68025 94225 113375 124377 149655 207295 249425 282675 340125 471125 621885 748275 1036475 1247125 1413375 3109425 3418483 3741375 5182375 10255449 15547125 17092415 37603313 51277245 85462075 112809939 188016565 256386225 427310375 564049695 940082825 1281931125 2820248475 4700414125 14101242375