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12140382375 = 3253112933829
BaseRepresentation
bin10110100111001111…
…11000100010100111
31011100002021022202200
423103213320202213
5144330414214000
65324402305543
7606564355542
oct132347704247
934302238680
1012140382375
11516aa24a70
1224299582b3
1311b6276c14
14832521859
154b0c50500
hex2d39f88a7

12140382375 has 96 divisors (see below), whose sum is σ = 24698606400. Its totient is φ = 5683104000.

The previous prime is 12140382343. The next prime is 12140382383. The reversal of 12140382375 is 57328304121.

12140382375 is a `hidden beast` number, since 12 + 1 + 403 + 8 + 237 + 5 = 666.

It is not a de Polignac number, because 12140382375 - 25 = 12140382343 is a prime.

It is a super-2 number, since 2×121403823752 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 341961 + ... + 375789.

It is an arithmetic number, because the mean of its divisors is an integer number (257277150).

Almost surely, 212140382375 is an apocalyptic number.

12140382375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12140382375 is an abundant number, since it is smaller than the sum of its proper divisors (12558224025).

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

12140382375 is a wasteful number, since it uses less digits than its factorization.

12140382375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33890 (or 33877 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 12140382375 its reverse (57328304121), we get a palindrome (69468686496).

The spelling of 12140382375 in words is "twelve billion, one hundred forty million, three hundred eighty-two thousand, three hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 29 33 45 55 75 87 99 125 145 165 225 261 275 319 375 435 495 725 825 957 1125 1305 1375 1595 2175 2475 2871 3625 4125 4785 6525 7975 10875 12375 14355 23925 32625 33829 39875 71775 101487 119625 169145 304461 358875 372119 507435 845725 981041 1116357 1522305 1860595 2537175 2943123 3349071 4228625 4905205 5581785 7611525 8829369 9302975 10791451 12685875 14715615 16745355 24526025 27908925 32374353 38057625 44146845 46514875 53957255 73578075 83726775 97123059 122630125 139544625 161871765 220734225 269786275 367890375 418633875 485615295 809358825 1103671125 1348931375 2428076475 4046794125 12140382375