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14145214259 = 1117192317661
BaseRepresentation
bin11010010110001111…
…01101011100110011
31100111210201100002102
431023013231130303
5212432133324014
610255341011015
71010350223501
oct151307553463
940453640072
1014145214259
115aa9671920
1228a9253a6b
131445723687
149828b7671
1557bc698de
hex34b1ed733

14145214259 has 48 divisors (see below), whose sum is σ = 17324624736. Its totient is φ = 11412403200.

The previous prime is 14145214241. The next prime is 14145214271. The reversal of 14145214259 is 95241254141.

It is a happy number.

It is not a de Polignac number, because 14145214259 - 28 = 14145214003 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14145214229) 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, 21399389 + ... + 21400049.

It is an arithmetic number, because the mean of its divisors is an integer number (360929682).

Almost surely, 214145214259 is an apocalyptic number.

14145214259 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

14145214259 is a deficient number, since it is larger than the sum of its proper divisors (3179410477).

14145214259 is a wasteful number, since it uses less digits than its factorization.

14145214259 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1025 counting only the distinct ones).

The product of its digits is 57600, while the sum is 38.

The spelling of 14145214259 in words is "fourteen billion, one hundred forty-five million, two hundred fourteen thousand, two hundred fifty-nine".

Divisors: 1 11 17 19 187 209 317 323 361 661 3487 3553 3971 5389 6023 6137 7271 11237 12559 59279 66253 67507 102391 114437 123607 138149 209537 213503 238621 1126301 1258807 1945429 2304907 2348533 2624831 3562129 3981203 4056557 21399719 39183419 43793233 44622127 67680451 75642857 744484961 832071427 1285928569 14145214259