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12042004144 = 2443612631091
BaseRepresentation
bin10110011011100001…
…00110011010110000
31011002020011012012111
423031300212122300
5144130223113034
65310525535104
7604261226542
oct131560463260
934066135174
1012042004144
11511a440a45
122400a14494
13119ba80651
14823433692
154a72bb364
hex2cdc266b0

12042004144 has 80 divisors (see below), whose sum is σ = 24379939584. Its totient is φ = 5757292800.

The previous prime is 12042004141. The next prime is 12042004147. The reversal of 12042004144 is 44140024021.

It is an interprime number because it is at equal distance from previous prime (12042004141) and next prime (12042004147).

It is a super-2 number, since 2×120420041442 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12042004141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11037039 + ... + 11038129.

Almost surely, 212042004144 is an apocalyptic number.

It is an amenable number.

12042004144 is an abundant number, since it is smaller than the sum of its proper divisors (12337935440).

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

12042004144 is a wasteful number, since it uses less digits than its factorization.

12042004144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 12042004144 its reverse (44140024021), we get a palindrome (56182028165).

The spelling of 12042004144 in words is "twelve billion, forty-two million, four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 43 61 86 122 172 244 263 344 488 526 688 976 1052 1091 2104 2182 2623 4208 4364 5246 8728 10492 11309 16043 17456 20984 22618 32086 41968 45236 46913 64172 66551 90472 93826 128344 133102 180944 187652 256688 266204 286933 375304 532408 573866 689849 750608 1064816 1147732 1379698 2295464 2759396 2861693 4590928 5518792 5723386 11037584 11446772 12338119 17502913 22893544 24676238 35005826 45787088 49352476 70011652 98704952 140023304 197409904 280046608 752625259 1505250518 3010501036 6021002072 12042004144