Search a number
-
+
13778381084214 = 23103199311186711
BaseRepresentation
bin1100100010000000011110…
…0000101001011000110110
31210210012102001211120001110
43020200013200221120312
53301221111024143324
645145411220335450
72621312061554415
oct310400740513066
953705361746043
1013778381084214
114432418a1403a
121666413b44586
1378c3aca30616
14358c3d08947c
1518d619a24329
hexc8807829636

13778381084214 has 32 divisors (see below), whose sum is σ = 27838267052544. Its totient is φ = 4545920969280.

The previous prime is 13778381084213. The next prime is 13778381084341. The reversal of 13778381084214 is 41248018387731.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13778381084213) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4361682 + ... + 6825029.

It is an arithmetic number, because the mean of its divisors is an integer number (869945845392).

Almost surely, 213778381084214 is an apocalyptic number.

13778381084214 is an abundant number, since it is smaller than the sum of its proper divisors (14059885968330).

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

13778381084214 is a wasteful number, since it uses less digits than its factorization.

13778381084214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11188812.

The product of its (nonzero) digits is 7225344, while the sum is 57.

The spelling of 13778381084214 in words is "thirteen trillion, seven hundred seventy-eight billion, three hundred eighty-one million, eighty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 103 206 309 618 1993 3986 5979 11958 205279 410558 615837 1231674 11186711 22373422 33560133 67120266 1152231233 2304462466 3456693699 6913387398 22295115023 44590230046 66885345069 133770690138 2296396847369 4592793694738 6889190542107 13778381084214