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1314015444 = 2232721792393
BaseRepresentation
bin100111001010010…
…0100100011010100
310101120112220022200
41032110210203110
510142341443234
6334215524500
744363642550
oct11624444324
93346486280
101314015444
11614800285
12308089730
1317c304441
14c672c860
157a55cd99
hex4e5248d4

1314015444 has 72 divisors (see below), whose sum is σ = 3799373760. Its totient is φ = 375103872.

The previous prime is 1314015431. The next prime is 1314015467. The reversal of 1314015444 is 4445104131.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 547912 + ... + 550304.

It is an arithmetic number, because the mean of its divisors is an integer number (52769080).

Almost surely, 21314015444 is an apocalyptic number.

1314015444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1314015444 is an abundant number, since it is smaller than the sum of its proper divisors (2485358316).

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

1314015444 is a wasteful number, since it uses less digits than its factorization.

1314015444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4589 (or 4584 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1314015444 is about 36249.3509459135. The cubic root of 1314015444 is about 1095.3010143853.

Adding to 1314015444 its reverse (4445104131), we get a palindrome (5759119575).

The spelling of 1314015444 in words is "one billion, three hundred fourteen million, fifteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 2179 2393 4358 4786 6537 7179 8716 9572 13074 14358 15253 16751 19611 21537 26148 28716 30506 33502 39222 43074 45759 50253 61012 67004 78444 86148 91518 100506 137277 150759 183036 201012 274554 301518 549108 603036 5214347 10428694 15643041 20857388 31286082 36500429 46929123 62572164 73000858 93858246 109501287 146001716 187716492 219002574 328503861 438005148 657007722 1314015444