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1314130224 = 243114357881
BaseRepresentation
bin100111001010100…
…0000100100110000
310101120202201202210
41032111000210300
510142404131344
6334222212120
744364631311
oct11625004460
93346681683
101314130224
11614879540
12308124040
1317c344764
14c675c608
157a581db9
hex4e540930

1314130224 has 80 divisors (see below), whose sum is σ = 3789650304. Its totient is φ = 388953600.

The previous prime is 1314130211. The next prime is 1314130253. The reversal of 1314130224 is 4220314131.

It is a self number, because there is not a number n which added to its sum of digits gives 1314130224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6237 + ... + 51644.

Almost surely, 21314130224 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 1314130224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894825152).

1314130224 is an abundant number, since it is smaller than the sum of its proper divisors (2475520080).

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

1314130224 is a wasteful number, since it uses less digits than its factorization.

1314130224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57946 (or 57940 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1314130224 is about 36250.9341121025. The cubic root of 1314130224 is about 1095.3329051799.

Adding to 1314130224 its reverse (4220314131), we get a palindrome (5534444355).

It can be divided in two parts, 13141 and 30224, that added together give a triangular number (43365 = T294).

The spelling of 1314130224 in words is "one billion, three hundred fourteen million, one hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 86 88 129 132 172 176 258 264 344 473 516 528 688 946 1032 1419 1892 2064 2838 3784 5676 7568 11352 22704 57881 115762 173643 231524 347286 463048 636691 694572 926096 1273382 1389144 1910073 2488883 2546764 2778288 3820146 4977766 5093528 7466649 7640292 9955532 10187056 14933298 15280584 19911064 27377713 29866596 30561168 39822128 54755426 59733192 82133139 109510852 119466384 164266278 219021704 328532556 438043408 657065112 1314130224