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12141343648 = 25773742499
BaseRepresentation
bin10110100111010111…
…00011001110100000
31011100011002011101101
423103223203032200
5144331140444043
65324435044144
7606605501230
oct132353431640
934304064341
1012141343648
115170521205
12242a140654
1311b6522615
148326d1cc0
154b0d9024d
hex2d3ae33a0

12141343648 has 48 divisors (see below), whose sum is σ = 27692280000. Its totient is φ = 5132146176.

The previous prime is 12141343619. The next prime is 12141343663. The reversal of 12141343648 is 84634314121.

12141343648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×121413436483 (a number of 31 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 354898 + ... + 387601.

It is an arithmetic number, because the mean of its divisors is an integer number (576922500).

Almost surely, 212141343648 is an apocalyptic number.

It is an amenable number.

12141343648 is an abundant number, since it is smaller than the sum of its proper divisors (15550936352).

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

12141343648 is an equidigital number, since it uses as much as digits as its factorization.

12141343648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742589 (or 742581 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

Adding to 12141343648 its reverse (84634314121), we get a palindrome (96775657769).

The spelling of 12141343648 in words is "twelve billion, one hundred forty-one million, three hundred forty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 73 112 146 224 292 511 584 1022 1168 2044 2336 4088 8176 16352 742499 1484998 2969996 5197493 5939992 10394986 11879984 20789972 23759968 41579944 54202427 83159888 108404854 166319776 216809708 379416989 433619416 758833978 867238832 1517667956 1734477664 3035335912 6070671824 12141343648