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14017448385 = 3354122911059
BaseRepresentation
bin11010000111000000…
…10100100111000001
31100011220022011021000
431003200110213001
5212201431322020
610234534322213
71004236226313
oct150340244701
940156264230
1014017448385
115a43536496
1228724b9369
13142510aa75
1496d9397b3
1557092d090
hex3438149c1

14017448385 has 64 divisors (see below), whose sum is σ = 25641504000. Its totient is φ = 7261125120.

The previous prime is 14017448377. The next prime is 14017448407. The reversal of 14017448385 is 58384471041.

It is not a de Polignac number, because 14017448385 - 23 = 14017448377 is a prime.

It is a super-2 number, since 2×140174483852 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 14017448385.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1261986 + ... + 1273044.

It is an arithmetic number, because the mean of its divisors is an integer number (400648500).

Almost surely, 214017448385 is an apocalyptic number.

14017448385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14017448385 is a deficient number, since it is larger than the sum of its proper divisors (11624055615).

14017448385 is a wasteful number, since it uses less digits than its factorization.

14017448385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11343 (or 11337 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 14017448385 in words is "fourteen billion, seventeen million, four hundred forty-eight thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 27 41 45 123 135 205 229 369 615 687 1107 1145 1845 2061 3435 5535 6183 9389 10305 11059 28167 30915 33177 46945 55295 84501 99531 140835 165885 253503 298593 422505 453419 497655 1267515 1360257 1492965 2267095 2532511 4080771 6801285 7597533 12242313 12662555 20403855 22792599 37987665 61211565 68377797 103832951 113962995 311498853 341888985 519164755 934496559 1557494265 2803489677 4672482795 14017448385