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1314197280 = 2532511163509
BaseRepresentation
bin100111001010101…
…0000111100100000
310101120220010202100
41032111100330200
510142413303110
6334223450400
744365330644
oct11625207440
93346803670
101314197280
11614914960
12308156a00
1317c369136
14c6778c24
157a596bc0
hex4e550f20

1314197280 has 288 divisors, whose sum is σ = 4932083520. Its totient is φ = 316016640.

The previous prime is 1314197251. The next prime is 1314197317. The reversal of 1314197280 is 827914131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×13141972802 = 3454228981518796800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 2581666 + ... + 2582174.

It is an arithmetic number, because the mean of its divisors is an integer number (17125290).

Almost surely, 21314197280 is an apocalyptic number.

1314197280 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 1314197280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466041760).

1314197280 is an abundant number, since it is smaller than the sum of its proper divisors (3617886240).

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

1314197280 is a wasteful number, since it uses less digits than its factorization.

1314197280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1314197280 is about 36251.8589868161. The cubic root of 1314197280 is about 1095.3515353463.

The spelling of 1314197280 in words is "one billion, three hundred fourteen million, one hundred ninety-seven thousand, two hundred eighty".