Search a number
-
+
13434000780138 = 238354149863041
BaseRepresentation
bin1100001101111101100011…
…0110000010101101101010
31202120021111121112111020120
43003133120312002231222
53230100313144431023
644323254511304110
72554401030354321
oct303373066025552
952507447474216
1013434000780138
11430a367242494
12160b72381b036
13765a894c4373
143462cdb0b0b8
151846b10358e3
hexc37d8d82b6a

13434000780138 has 32 divisors (see below), whose sum is σ = 27241974914112. Its totient is φ = 4415870822400.

The previous prime is 13434000780113. The next prime is 13434000780139. The reversal of 13434000780138 is 83108700043431.

It is a self number, because there is not a number n which added to its sum of digits gives 13434000780138.

It is not an unprimeable number, because it can be changed into a prime (13434000780139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24662103 + ... + 25200938.

It is an arithmetic number, because the mean of its divisors is an integer number (851311716066).

Almost surely, 213434000780138 is an apocalyptic number.

13434000780138 is an abundant number, since it is smaller than the sum of its proper divisors (13807974133974).

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

13434000780138 is a wasteful number, since it uses less digits than its factorization.

13434000780138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49863670.

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 13434000780138 in words is "thirteen trillion, four hundred thirty-four billion, seven hundred eighty thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 83 166 249 498 541 1082 1623 3246 44903 89806 134709 269418 49863041 99726082 149589123 299178246 4138632403 8277264806 12415897209 24831794418 26975905181 53951810362 80927715543 161855431086 2239000130023 4478000260046 6717000390069 13434000780138