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13830367230 = 23254110336389
BaseRepresentation
bin11001110000101101…
…01010011111111110
31022200212021110011100
430320112222133332
5211311033222410
610204212433530
7666505116231
oct147026523776
938625243140
1013830367230
115957977669
12281b9188a6
1313c5427a64
14952b5b418
1555e2c68c0
hex3385aa7fe

13830367230 has 96 divisors (see below), whose sum is σ = 37194655680. Its totient is φ = 3563112960.

The previous prime is 13830367217. The next prime is 13830367253. The reversal of 13830367230 is 3276303831.

It is a happy number.

13830367230 is a `hidden beast` number, since 1 + 38 + 30 + 367 + 230 = 666.

It is a congruent 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, 361876 + ... + 398264.

It is an arithmetic number, because the mean of its divisors is an integer number (387444330).

Almost surely, 213830367230 is an apocalyptic number.

13830367230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13830367230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18597327840).

13830367230 is an abundant number, since it is smaller than the sum of its proper divisors (23364288450).

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

13830367230 is a wasteful number, since it uses less digits than its factorization.

13830367230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36546 (or 36543 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 13830367230 in words is "thirteen billion, eight hundred thirty million, three hundred sixty-seven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 103 123 205 206 246 309 369 410 515 615 618 738 927 1030 1230 1545 1845 1854 3090 3690 4223 4635 8446 9270 12669 21115 25338 36389 38007 42230 63345 72778 76014 109167 126690 181945 190035 218334 327501 363890 380070 545835 655002 1091670 1491949 1637505 2983898 3275010 3748067 4475847 7459745 7496134 8951694 11244201 13427541 14919490 18740335 22379235 22488402 26855082 33732603 37480670 44758470 56221005 67137705 67465206 112442010 134275410 153670747 168663015 307341494 337326030 461012241 768353735 922024482 1383036723 1536707470 2305061205 2766073446 4610122410 6915183615 13830367230