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11314061340 = 22351730736131
BaseRepresentation
bin10101000100101111…
…01110000000011100
31002012111101212101220
422202113232000130
5141132344430330
65110403333340
7550241635401
oct124227560034
932174355356
1011314061340
11488654681a
122239081250
1310b400976a
147948a42a8
15463429710
hex2a25ee01c

11314061340 has 96 divisors (see below), whose sum is σ = 33653055744. Its totient is φ = 2830279680.

The previous prime is 11314061281. The next prime is 11314061359. The reversal of 11314061340 is 4316041311.

It is a self number, because there is not a number n which added to its sum of digits gives 11314061340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295075 + ... + 331205.

It is an arithmetic number, because the mean of its divisors is an integer number (350552664).

Almost surely, 211314061340 is an apocalyptic number.

11314061340 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 11314061340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16826527872).

11314061340 is an abundant number, since it is smaller than the sum of its proper divisors (22338994404).

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

11314061340 is a wasteful number, since it uses less digits than its factorization.

11314061340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36467 (or 36465 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 11314061340 in words is "eleven billion, three hundred fourteen million, sixty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 307 340 510 614 921 1020 1228 1535 1842 3070 3684 4605 5219 6140 9210 10438 15657 18420 20876 26095 31314 36131 52190 62628 72262 78285 104380 108393 144524 156570 180655 216786 313140 361310 433572 541965 614227 722620 1083930 1228454 1842681 2167860 2456908 3071135 3685362 6142270 7370724 9213405 11092217 12284540 18426810 22184434 33276651 36853620 44368868 55461085 66553302 110922170 133106604 166383255 188567689 221844340 332766510 377135378 565703067 665533020 754270756 942838445 1131406134 1885676890 2262812268 2828515335 3771353780 5657030670 11314061340