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1317214140 = 22351119234567
BaseRepresentation
bin100111010000011…
…0001011110111100
310101210120102002220
41032200301132330
510144201323030
6334412245340
744433064314
oct11640613674
93353512086
101317214140
11616595530
12309170850
1317cb84368
14c6d22444
157a990a10
hex4e8317bc

1317214140 has 192 divisors, whose sum is σ = 4420362240. Its totient is φ = 289301760.

The previous prime is 1317214127. The next prime is 1317214147. The reversal of 1317214140 is 414127131.

It is a self number, because there is not a number n which added to its sum of digits gives 1317214140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1317214147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286137 + ... + 290703.

It is an arithmetic number, because the mean of its divisors is an integer number (23022720).

Almost surely, 21317214140 is an apocalyptic number.

1317214140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1317214140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210181120).

1317214140 is an abundant number, since it is smaller than the sum of its proper divisors (3103148100).

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

1317214140 is a wasteful number, since it uses less digits than its factorization.

1317214140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4632 (or 4630 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1317214140 is about 36293.4448626746. Note that the first 3 decimals coincide. The cubic root of 1317214140 is about 1096.1890546676.

The spelling of 1317214140 in words is "one billion, three hundred seventeen million, two hundred fourteen thousand, one hundred forty".