Search a number
-
+
14073110765 = 5717231371213
BaseRepresentation
bin11010001101101001…
…01010000011101101
31100022210001002200122
431012310222003231
5212310204021030
610244243334325
71005513316310
oct150664520355
940283032618
1014073110765
115a719a445a
1228890813a5
1314337c959c
149770a8977
155757758e5
hex346d2a0ed

14073110765 has 96 divisors (see below), whose sum is σ = 21753636864. Its totient is φ = 8544890880.

The previous prime is 14073110683. The next prime is 14073110861. The reversal of 14073110765 is 56701137041.

14073110765 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14073110765 - 28 = 14073110509 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11601299 + ... + 11602511.

It is an arithmetic number, because the mean of its divisors is an integer number (226600384).

Almost surely, 214073110765 is an apocalyptic number.

It is an amenable number.

14073110765 is a deficient number, since it is larger than the sum of its proper divisors (7680526099).

14073110765 is a wasteful number, since it uses less digits than its factorization.

14073110765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 35.

The spelling of 14073110765 in words is "fourteen billion, seventy-three million, one hundred ten thousand, seven hundred sixty-five".

Divisors: 1 5 7 17 31 35 37 85 119 155 185 217 259 289 527 595 629 1085 1147 1213 1295 1445 2023 2635 3145 3689 4403 5735 6065 8029 8491 8959 10115 10693 18445 19499 20621 22015 37603 40145 42455 44795 44881 53465 62713 74851 97495 103105 136493 144347 188015 224405 263221 313565 314167 331483 350557 374255 639251 682465 721735 762977 1316105 1391311 1570835 1657415 1752785 2320381 2453899 3196255 3814885 4474757 5340839 6956555 9739177 10867267 11601905 12269495 12970609 22373785 23652287 26704195 48695885 54336335 64853045 76070869 90794263 118261435 165566009 380354345 402088879 453971315 827830045 2010444395 2814622153 14073110765