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1314400241 = 71131753849
BaseRepresentation
bin100111001011000…
…0010011111110001
310101121021110011102
41032112002133301
510142441301431
6334232054145
744400134450
oct11626023761
93347243142
101314400241
11614a433a0
12308234355
1317c40a62b
14c67ccb97
157a5d6dcb
hex4e5827f1

1314400241 has 16 divisors (see below), whose sum is σ = 1643932800. Its totient is φ = 1020958080.

The previous prime is 1314400229. The next prime is 1314400267. The reversal of 1314400241 is 1420044131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1314400241 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1314400291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2516 + ... + 51333.

It is an arithmetic number, because the mean of its divisors is an integer number (102745800).

Almost surely, 21314400241 is an apocalyptic number.

1314400241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1314400241 is a deficient number, since it is larger than the sum of its proper divisors (329532559).

1314400241 is a wasteful number, since it uses less digits than its factorization.

1314400241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54184.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1314400241 is about 36254.6581972579. The cubic root of 1314400241 is about 1095.4079201329.

Adding to 1314400241 its reverse (1420044131), we get a palindrome (2734444372).

The spelling of 1314400241 in words is "one billion, three hundred fourteen million, four hundred thousand, two hundred forty-one".

Divisors: 1 7 11 77 317 2219 3487 24409 53849 376943 592339 4146373 17070133 119490931 187771463 1314400241