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1314250144 = 25175714231
BaseRepresentation
bin100111001010101…
…1101110110100000
310101120222211021021
41032111131312200
510142422001034
6334224535224
744365641034
oct11625356640
93346884237
101314250144
11614950649
12308181514
1317c38720c
14c67901c4
157a5a76b4
hex4e55dda0

1314250144 has 48 divisors (see below), whose sum is σ = 2745078336. Its totient is φ = 617241600.

The previous prime is 1314250141. The next prime is 1314250183. The reversal of 1314250144 is 4410524131.

It is not an unprimeable number, because it can be changed into a prime (1314250141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 308509 + ... + 312739.

It is an arithmetic number, because the mean of its divisors is an integer number (57189132).

Almost surely, 21314250144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314250144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372539168).

1314250144 is an abundant number, since it is smaller than the sum of its proper divisors (1430828192).

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

1314250144 is a wasteful number, since it uses less digits than its factorization.

1314250144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4829 (or 4821 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 1314250144 is about 36252.5881007136. The cubic root of 1314250144 is about 1095.3662221030.

Adding to 1314250144 its reverse (4410524131), we get a palindrome (5724774275).

The spelling of 1314250144 in words is "one billion, three hundred fourteen million, two hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 571 1142 2284 4231 4568 8462 9136 9707 16924 18272 19414 33848 38828 67696 71927 77656 135392 143854 155312 287708 310624 575416 1150832 2301664 2415901 4831802 9663604 19327208 38654416 41070317 77308832 82140634 164281268 328562536 657125072 1314250144