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42020907024 = 24343112171669
BaseRepresentation
bin100111001000101001…
…000010100000010000
311000110111202020202210
4213020221002200100
51142024323011044
631145405512120
73015213550005
oct471051024020
9130414666683
1042020907024
1116903785438
128188872640
133c68969b35
142068b498ac
15115e1291b9
hex9c8a42810

42020907024 has 80 divisors (see below), whose sum is σ = 108960526080. Its totient is φ = 13954621440.

The previous prime is 42020907023. The next prime is 42020907077. The reversal of 42020907024 is 42070902024.

It is a junction number, because it is equal to n+sod(n) for n = 42020906982 and 42020907000.

It is not an unprimeable number, because it can be changed into a prime (42020907023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25176462 + ... + 25178130.

It is an arithmetic number, because the mean of its divisors is an integer number (1362006576).

Almost surely, 242020907024 is an apocalyptic number.

It is an amenable number.

42020907024 is an abundant number, since it is smaller than the sum of its proper divisors (66939619056).

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

42020907024 is a wasteful number, since it uses less digits than its factorization.

42020907024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328 (or 3322 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

Subtracting 42020907024 from its reverse (42070902024), we obtain a triangular number (49995000 = T9999).

The spelling of 42020907024 in words is "forty-two billion, twenty million, nine hundred seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 431 862 1217 1293 1669 1724 2434 2586 3338 3448 3651 4868 5007 5172 6676 6896 7302 9736 10014 10344 13352 14604 19472 20028 20688 26704 29208 40056 58416 80112 524527 719339 1049054 1438678 1573581 2031173 2098108 2158017 2877356 3147162 4062346 4196216 4316034 5754712 6093519 6294324 8124692 8392432 8632068 11509424 12187038 12588648 16249384 17264136 24374076 25177296 32498768 34528272 48748152 97496304 875435563 1750871126 2626306689 3501742252 5252613378 7003484504 10505226756 14006969008 21010453512 42020907024