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12034023411432 = 23311197231387929
BaseRepresentation
bin1010111100011110001110…
…1100001100111011101000
31120121102220210010111001210
42233013203230030323220
53034131134443131212
641332204245513120
72351300214152601
oct257074354147350
946542823114053
1012034023411432
11391a667542450
1214243361127a0
13693a5a4b24b9
142d8642512da8
1515d074d9653c
hexaf1e3b0cee8

12034023411432 has 64 divisors (see below), whose sum is σ = 32986663300800. Its totient is φ = 3628162711040.

The previous prime is 12034023411407. The next prime is 12034023411461. The reversal of 12034023411432 is 23411432043021.

It is a super-2 number, since 2×120340234114322 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12034023411432.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115641957 + ... + 115745972.

It is an arithmetic number, because the mean of its divisors is an integer number (515416614075).

Almost surely, 212034023411432 is an apocalyptic number.

12034023411432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12034023411432 is an abundant number, since it is smaller than the sum of its proper divisors (20952639889368).

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

12034023411432 is a wasteful number, since it uses less digits than its factorization.

12034023411432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231388146 (or 231388142 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 12034023411432 its reverse (23411432043021), we get a palindrome (35445455454453).

The spelling of 12034023411432 in words is "twelve trillion, thirty-four billion, twenty-three million, four hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 197 264 394 591 788 1182 1576 2167 2364 4334 4728 6501 8668 13002 17336 26004 52008 231387929 462775858 694163787 925551716 1388327574 1851103432 2545267219 2776655148 5090534438 5553310296 7635801657 10181068876 15271603314 20362137752 30543206628 45583422013 61086413256 91166844026 136750266039 182333688052 273500532078 364667376104 501417642143 547001064156 1002835284286 1094002128312 1504252926429 2005670568572 3008505852858 4011341137144 6017011705716 12034023411432