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24140230130304 = 2732181115773817
BaseRepresentation
bin1010111110100100101011…
…10101110111101010000000
310011110210011010212220202200
411133102111311313222000
511131003142403132204
6123201511342313200
75041034256332121
oct537222565675200
9104423133786680
1024140230130304
1177678a5635082
12285a656288800
13106154c547b22
145d65715b2048
152bce21d6e539
hex15f495d77a80

24140230130304 has 96 divisors (see below), whose sum is σ = 69849817613940. Its totient is φ = 8002286161920.

The previous prime is 24140230130293. The next prime is 24140230130329. The reversal of 24140230130304 is 40303103204142.

24140230130304 is a `hidden beast` number, since 2 + 414 + 0 + 230 + 13 + 0 + 3 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21833938382400 + 2306291747904 = 4672680^2 + 1518648^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57678397 + ... + 58095420.

Almost surely, 224140230130304 is an apocalyptic number.

24140230130304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

24140230130304 is an abundant number, since it is smaller than the sum of its proper divisors (45709587483636).

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

24140230130304 is a wasteful number, since it uses less digits than its factorization.

24140230130304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115774018 (or 115774003 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 24140230130304 its reverse (40303103204142), we get a palindrome (64443333334446).

The spelling of 24140230130304 in words is "twenty-four trillion, one hundred forty billion, two hundred thirty million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 181 192 288 362 384 543 576 724 1086 1152 1448 1629 2172 2896 3258 4344 5792 6516 8688 11584 13032 17376 23168 26064 34752 52128 69504 104256 208512 115773817 231547634 347321451 463095268 694642902 926190536 1041964353 1389285804 1852381072 2083928706 2778571608 3704762144 4167857412 5557143216 7409524288 8335714824 11114286432 14819048576 16671429648 20955060877 22228572864 33342859296 41910121754 44457145728 62865182631 66685718592 83820243508 125730365262 133371437184 167640487016 188595547893 251460730524 335280974032 377191095786 502921461048 670561948064 754382191572 1005842922096 1341123896128 1508764383144 2011685844192 2682247792256 3017528766288 4023371688384 6035057532576 8046743376768 12070115065152 24140230130304