Search a number
-
+
14540440096 = 257134993283
BaseRepresentation
bin11011000101010110…
…11000001000100000
31101112100101220000101
431202223120020200
5214234323040341
610402500032144
71023216462430
oct154253301040
941470356011
1014540440096
116191776946
122999692654
1314a9582c10
149bd1982c0
155a17d8831
hex362ad8220

14540440096 has 48 divisors (see below), whose sum is σ = 35232611904. Its totient is φ = 5752260864.

The previous prime is 14540440091. The next prime is 14540440133. The reversal of 14540440096 is 69004404541.

It is a super-2 number, since 2×145404400962 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14540440091) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2493730 + ... + 2499553.

It is an arithmetic number, because the mean of its divisors is an integer number (734012748).

Almost surely, 214540440096 is an apocalyptic number.

14540440096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14540440096 is an abundant number, since it is smaller than the sum of its proper divisors (20692171808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14540440096 is a wasteful number, since it uses less digits than its factorization.

14540440096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4993313 (or 4993305 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 14540440096 in words is "fourteen billion, five hundred forty million, four hundred forty thousand, ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 4993283 9986566 19973132 34952981 39946264 64912679 69905962 79892528 129825358 139811924 159785056 259650716 279623848 454388753 519301432 559247696 908777506 1038602864 1118495392 1817555012 2077205728 3635110024 7270220048 14540440096