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12144502908 = 22331741161333
BaseRepresentation
bin10110100111101111…
…00110100001111100
31011100101000200002000
423103313212201330
5144332443043113
65325030502300
7606644400006
oct132367464174
934311020060
1012144502908
11517228986a
12242b204990
1311b708a5c5
14832cb5376
154b12b6373
hex2d3de687c

12144502908 has 96 divisors (see below), whose sum is σ = 34151181120. Its totient is φ = 3717089280.

The previous prime is 12144502907. The next prime is 12144502961. The reversal of 12144502908 is 80920544121.

12144502908 is a `hidden beast` number, since 1 + 2 + 144 + 502 + 9 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144502907) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5391 + ... + 155942.

It is an arithmetic number, because the mean of its divisors is an integer number (355741470).

Almost surely, 212144502908 is an apocalyptic number.

12144502908 is a gapful number since it is divisible by the number (18) 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 12144502908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17075590560).

12144502908 is an abundant number, since it is smaller than the sum of its proper divisors (22006678212).

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

12144502908 is a wasteful number, since it uses less digits than its factorization.

12144502908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161404 (or 161396 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 12144502908 in words is "twelve billion, one hundred forty-four million, five hundred two thousand, nine hundred eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 41 51 54 68 82 102 108 123 153 164 204 246 306 369 459 492 612 697 738 918 1107 1394 1476 1836 2091 2214 2788 4182 4428 6273 8364 12546 18819 25092 37638 75276 161333 322666 483999 645332 967998 1451997 1935996 2742661 2903994 4355991 5485322 5807988 6614653 8227983 8711982 10970644 13229306 16455966 17423964 19843959 24683949 26458612 32911932 39687918 49367898 59531877 74051847 79375836 98735796 112449101 119063754 148103694 178595631 224898202 238127508 296207388 337347303 357191262 449796404 674694606 714382524 1012041909 1349389212 2024083818 3036125727 4048167636 6072251454 12144502908