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42133033124 = 22713941912289
BaseRepresentation
bin100111001111010100…
…110001000010100100
311000202022201211212022
4213033110301002210
51142242024024444
631204453042312
73021044605160
oct471724610244
9130668654768
1042133033124
1116960aa9436
1281ba326398
133c85c67b40
1420799b5ca0
151168dc69ee
hex9cf5310a4

42133033124 has 48 divisors (see below), whose sum is σ = 90765091200. Its totient is φ = 16664887296.

The previous prime is 42133033109. The next prime is 42133033169.

42133033124 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 42133033093 and 42133033102.

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, 3422372 + ... + 3434660.

It is an arithmetic number, because the mean of its divisors is an integer number (1890939400).

Almost surely, 242133033124 is an apocalyptic number.

It is an amenable number.

42133033124 is an abundant number, since it is smaller than the sum of its proper divisors (48632058076).

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

42133033124 is a wasteful number, since it uses less digits than its factorization.

42133033124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21732 (or 21730 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 421330 and 33124, that added together give a palindrome (454454).

The spelling of 42133033124 in words is "forty-two billion, one hundred thirty-three million, thirty-three thousand, one hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 9419 12289 18838 24578 37676 49156 65933 86023 122447 131866 159757 172046 244894 263732 319514 344092 489788 639028 857129 1118299 1714258 2236598 3428516 4473196 115750091 231500182 463000364 810250637 1504751183 1620501274 3009502366 3241002548 6019004732 10533258281 21066516562 42133033124