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42052325024 = 2541110329059
BaseRepresentation
bin100111001010100000…
…111000111010100000
311000112200212110011102
4213022200320322200
51142110343400044
631152451133532
73016044602453
oct471240707240
9130480773142
1042052325024
111691a494226
1281972a42a8
133c7231a378
14206cda749a
151161c8324e
hex9ca838ea0

42052325024 has 48 divisors (see below), whose sum is σ = 84889607040. Its totient is φ = 20494026240.

The previous prime is 42052324967. The next prime is 42052325027.

42052325024 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (42052325027) 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, 1432607 + ... + 1461665.

It is an arithmetic number, because the mean of its divisors is an integer number (1768533480).

Almost surely, 242052325024 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 42052325024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42444803520).

42052325024 is an abundant number, since it is smaller than the sum of its proper divisors (42837282016).

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

42052325024 is a wasteful number, since it uses less digits than its factorization.

42052325024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30213 (or 30205 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

The spelling of 42052325024 in words is "forty-two billion, fifty-two million, three hundred twenty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1103 1312 2206 4412 8824 17648 29059 35296 45223 58118 90446 116236 180892 232472 361784 464944 723568 929888 1191419 1447136 2382838 4765676 9531352 19062704 32052077 38125408 64104154 128208308 256416616 512833232 1025666464 1314135157 2628270314 5256540628 10513081256 21026162512 42052325024