Search a number
-
+
11314251114030 = 2325277734526479
BaseRepresentation
bin1010010010100100110111…
…1010110010011000101110
31111001122001121120022022200
42210221031322302120232
52440333041241122110
640021410055322330
72245266455446254
oct244511572623056
944048047508280
1011314251114030
11367238a8790a7
12132893b9803a6
13640c108a42c7
142b188127a5d4
1514949a0506c0
hexa4a4deb262e

11314251114030 has 48 divisors (see below), whose sum is σ = 29418118591680. Its totient is φ = 3017024328384.

The previous prime is 11314251114007. The next prime is 11314251114037. The reversal of 11314251114030 is 3041115241311.

11314251114030 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 4 + 2 + 511 + 140 + 3 + 0 = 666.

11314251114030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11314251113985 and 11314251114003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11314251114037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236331 + ... + 4762809.

It is an arithmetic number, because the mean of its divisors is an integer number (612877470660).

Almost surely, 211314251114030 is an apocalyptic number.

11314251114030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11314251114030 is an abundant number, since it is smaller than the sum of its proper divisors (18103867477650).

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

11314251114030 is a wasteful number, since it uses less digits than its factorization.

11314251114030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4554265 (or 4554262 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 11314251114030 its reverse (3041115241311), we get a palindrome (14355366355341).

The spelling of 11314251114030 in words is "eleven trillion, three hundred fourteen billion, two hundred fifty-one million, one hundred fourteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 27773 55546 83319 138865 166638 249957 277730 416595 499914 833190 1249785 2499570 4526479 9052958 13579437 22632395 27158874 40738311 45264790 67897185 81476622 135794370 203691555 407383110 125713901267 251427802534 377141703801 628569506335 754283407602 1131425111403 1257139012670 1885708519005 2262850222806 3771417038010 5657125557015 11314251114030