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12140332074 = 232131926910151
BaseRepresentation
bin10110100111001111…
…01100010000101010
31011100002011202202200
423103213230100222
5144330411111244
65324401241030
7606564056103
oct132347542052
934302152680
1012140332074
11516a9a01a2
122429933176
1311b625a060
1483250b3aa
154b0c40669
hex2d39ec42a

12140332074 has 96 divisors (see below), whose sum is σ = 29932156800. Its totient is φ = 3525379200.

The previous prime is 12140332069. The next prime is 12140332081. The reversal of 12140332074 is 47023304121.

It is a happy number.

12140332074 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1190899 + ... + 1201049.

It is an arithmetic number, because the mean of its divisors is an integer number (311793300).

Almost surely, 212140332074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12140332074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14966078400).

12140332074 is an abundant number, since it is smaller than the sum of its proper divisors (17791824726).

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

12140332074 is a wasteful number, since it uses less digits than its factorization.

12140332074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10460 (or 10457 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 12140332074 its reverse (47023304121), we get a palindrome (59163636195).

The spelling of 12140332074 in words is "twelve billion, one hundred forty million, three hundred thirty-two thousand, seventy-four".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 269 342 494 538 741 807 1482 1614 2223 2421 3497 4446 4842 5111 6994 10151 10222 10491 15333 20302 20982 30453 30666 31473 45999 60906 62946 66443 91359 91998 131963 132886 182718 192869 199329 263926 385738 395889 398658 578607 597987 791778 1157214 1187667 1195974 1735821 2375334 2507297 2730619 3471642 5014594 5461238 7521891 8191857 15043782 16383714 22565673 24575571 35498047 45131346 49151142 51881761 70996094 103763522 106494141 155645283 212988282 311290566 319482423 466935849 638964846 674462893 933871698 1348925786 2023388679 4046777358 6070166037 12140332074