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42225543136 = 2574110942181
BaseRepresentation
bin100111010100110101…
…101010011111100000
311000222202210211202001
4213110311222133200
51142434214340021
631221555533344
73023250123520
oct472465523740
9130882724661
1042225543136
11169a9244597
1282252ba254
133c9c1883aa
142087db7680
15117209c091
hex9d4d6a7e0

42225543136 has 96 divisors (see below), whose sum is σ = 98219943360. Its totient is φ = 17492889600.

The previous prime is 42225543077. The next prime is 42225543137. The reversal of 42225543136 is 63134552224.

It is a junction number, because it is equal to n+sod(n) for n = 42225543095 and 42225543104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42225543137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 979966 + ... + 1022146.

It is an arithmetic number, because the mean of its divisors is an integer number (1023124410).

Almost surely, 242225543136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42225543136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49109971680).

42225543136 is an abundant number, since it is smaller than the sum of its proper divisors (55994400224).

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

42225543136 is a wasteful number, since it uses less digits than its factorization.

42225543136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42348 (or 42340 counting only the distinct ones).

The product of its digits is 172800, while the sum is 37.

The spelling of 42225543136 in words is "forty-two billion, two hundred twenty-five million, five hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 109 112 164 218 224 287 328 436 574 656 763 872 1148 1312 1526 1744 2296 3052 3488 4469 4592 6104 8938 9184 12208 17876 24416 31283 35752 42181 62566 71504 84362 125132 143008 168724 250264 295267 337448 500528 590534 674896 1001056 1181068 1349792 1729421 2362136 3458842 4597729 4724272 6917684 9195458 9448544 12105947 13835368 18390916 24211894 27670736 32184103 36781832 48423788 55341472 64368206 73563664 96847576 128736412 147127328 188506889 193695152 257472824 377013778 387390304 514945648 754027556 1029891296 1319548223 1508055112 2639096446 3016110224 5278192892 6032220448 10556385784 21112771568 42225543136