Search a number
-
+
14432041041 = 3113141477321
BaseRepresentation
bin11010111000011011…
…10111100001010001
31101020210102122110120
431130031313201101
5214024100303131
610344024420453
71020432216255
oct153415674121
941223378416
1014432041041
116136569050
122969317729
13148cc8b472
149aca1c265
15597025496
hex35c377851

14432041041 has 64 divisors (see below), whose sum is σ = 22673129472. Its totient is φ = 8081280000.

The previous prime is 14432041037. The next prime is 14432041049. The reversal of 14432041041 is 14014023441.

It is not a de Polignac number, because 14432041041 - 22 = 14432041037 is a prime.

14432041041 is a modest number, since divided by 41041 gives 14432 as remainder.

It is not an unprimeable number, because it can be changed into a prime (14432041049) 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, 1967661 + ... + 1974981.

It is an arithmetic number, because the mean of its divisors is an integer number (354267648).

Almost surely, 214432041041 is an apocalyptic number.

14432041041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14432041041 is a deficient number, since it is larger than the sum of its proper divisors (8241088431).

14432041041 is a wasteful number, since it uses less digits than its factorization.

14432041041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7454.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14432041041 its reverse (14014023441), we get a palindrome (28446064482).

The spelling of 14432041041 in words is "fourteen billion, four hundred thirty-two million, forty-one thousand, forty-one".

Divisors: 1 3 11 31 33 41 47 93 123 141 341 451 517 1023 1271 1353 1457 1551 1927 3813 4371 5781 7321 13981 16027 21197 21963 41943 48081 59737 63591 80531 179211 226951 241593 300161 344087 657107 680853 900483 1032261 1971321 2496461 3301771 3784957 7489383 9304991 9905313 10666697 11354871 14107567 27914973 32000091 42322701 102354901 117333667 155183237 307064703 352001001 437334577 465549711 1312003731 4810680347 14432041041