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12042002340 = 22325292306897
BaseRepresentation
bin10110011011100001…
…00101111110100100
31011002020011002201200
423031300211332210
5144130223033330
65310525522500
7604261221354
oct131560457644
934066132650
1012042002340
11511a43a655
122400a13430
13119ba7c894
14823432b64
154a72baa60
hex2cdc25fa4

12042002340 has 72 divisors (see below), whose sum is σ = 37786989240. Its totient is φ = 3100468224.

The previous prime is 12042002317. The next prime is 12042002341. The reversal of 12042002340 is 4320024021.

12042002340 is a `hidden beast` number, since 12 + 0 + 420 + 0 + 234 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 451584 + 12041550756 = 672^2 + 109734^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12042002341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1148229 + ... + 1158668.

It is an arithmetic number, because the mean of its divisors is an integer number (524819295).

Almost surely, 212042002340 is an apocalyptic number.

12042002340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12042002340 is an abundant number, since it is smaller than the sum of its proper divisors (25744986900).

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

12042002340 is a wasteful number, since it uses less digits than its factorization.

12042002340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306941 (or 2306936 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12042002340 its reverse (4320024021), we get a palindrome (16362026361).

The spelling of 12042002340 in words is "twelve billion, forty-two million, two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 2306897 4613794 6920691 9227588 11534485 13841382 20762073 23068970 27682764 34603455 41524146 46137940 66900013 69206910 83048292 103810365 133800026 138413820 200700039 207620730 267600052 334500065 401400078 415241460 602100117 669000130 802800156 1003500195 1204200234 1338000260 2007000390 2408400468 3010500585 4014000780 6021001170 12042002340