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1315381914 = 2327112341263
BaseRepresentation
bin100111001100111…
…0010001010011010
310101200010022202200
41032121302022122
510143214210124
6334305111030
744411363460
oct11631621232
93350108680
101315381914
116155539a0
12308628476
1317c6923c2
14c69a6830
157a72cbc9
hex4e67229a

1315381914 has 96 divisors (see below), whose sum is σ = 3707817984. Its totient is φ = 326795040.

The previous prime is 1315381909. The next prime is 1315381927. The reversal of 1315381914 is 4191835131.

It is a happy number.

1315381914 is a `hidden beast` number, since 1 + 31 + 538 + 1 + 91 + 4 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11247 + ... + 52509.

It is an arithmetic number, because the mean of its divisors is an integer number (38623104).

Almost surely, 21315381914 is an apocalyptic number.

1315381914 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1315381914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853908992).

1315381914 is an abundant number, since it is smaller than the sum of its proper divisors (2392436070).

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

1315381914 is a wasteful number, since it uses less digits than its factorization.

1315381914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41312 (or 41309 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 1315381914 is about 36268.1942478530. The cubic root of 1315381914 is about 1095.6805577332.

The spelling of 1315381914 in words is "one billion, three hundred fifteen million, three hundred eighty-one thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 23 33 42 46 63 66 69 77 99 126 138 154 161 198 207 231 253 322 414 462 483 506 693 759 966 1386 1449 1518 1771 2277 2898 3542 4554 5313 10626 15939 31878 41263 82526 123789 247578 288841 371367 453893 577682 742734 866523 907786 949049 1361679 1733046 1898098 2599569 2723358 2847147 3177251 4085037 5199138 5694294 6354502 6643343 8170074 8541441 9531753 10439539 13286686 17082882 19063506 19930029 20879078 28595259 31318617 39860058 57190518 59790087 62637234 73076773 93955851 119580174 146153546 187911702 219230319 438460638 657690957 1315381914