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42133233124 = 22101238143801
BaseRepresentation
bin100111001111010101…
…100001110111100100
311000202100010000012201
4213033111201313210
51142242101424444
631204501224244
73021046400233
oct471725416744
9130670100181
1042133233124
1116961125724
1281ba402084
133c86007b98
142079a28b1a
151168e15dd4
hex9cf561de4

42133233124 has 24 divisors (see below), whose sum is σ = 74496163896. Its totient is φ = 20848800000.

The previous prime is 42133233119. The next prime is 42133233127.

It is a happy number.

42133233124 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 4387737600 + 37745495524 = 66240^2 + 194282^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42133233092 and 42133233101.

It is not an unprimeable number, because it can be changed into a prime (42133233127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 940024 + ... + 983824.

It is an arithmetic number, because the mean of its divisors is an integer number (3104006829).

Almost surely, 242133233124 is an apocalyptic number.

It is an amenable number.

42133233124 is a deficient number, since it is larger than the sum of its proper divisors (32362930772).

42133233124 is a wasteful number, since it uses less digits than its factorization.

42133233124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46287 (or 46285 counting only the distinct ones).

The product of its digits is 10368, while the sum is 28.

The spelling of 42133233124 in words is "forty-two billion, one hundred thirty-three million, two hundred thirty-three thousand, one hundred twenty-four".

Divisors: 1 2 4 101 202 404 2381 4762 9524 43801 87602 175204 240481 480962 961924 4423901 8847802 17695604 104290181 208580362 417160724 10533308281 21066616562 42133233124