Search a number
-
+
42145363025 = 5224127725253
BaseRepresentation
bin100111010000000011…
…110011010001010001
311000210011221021022022
4213100003303101101
51142303203104100
631210013221225
73021254450333
oct472003632121
9130704837268
1042145363025
1116967a60037
128202491815
133c8869403c
14207b4a5453
15116a00ee85
hex9d00f3451

42145363025 has 24 divisors (see below), whose sum is σ = 52668631224. Its totient is φ = 33453849600.

The previous prime is 42145363021. The next prime is 42145363061. The reversal of 42145363025 is 52036354124.

It can be written as a sum of positive squares in 12 ways, for example, as 3577116481 + 38568246544 = 59809^2 + 196388^2 .

It is not a de Polignac number, because 42145363025 - 22 = 42145363021 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42145363021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1656299 + ... + 1681551.

It is an arithmetic number, because the mean of its divisors is an integer number (2194526301).

Almost surely, 242145363025 is an apocalyptic number.

It is an amenable number.

42145363025 is a deficient number, since it is larger than the sum of its proper divisors (10523268199).

42145363025 is a wasteful number, since it uses less digits than its factorization.

42145363025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25781 (or 25776 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 42145363025 in words is "forty-two billion, one hundred forty-five million, three hundred sixty-three thousand, twenty-five".

Divisors: 1 5 25 241 277 1205 1385 6025 6925 25253 66757 126265 333785 631325 1668925 6085973 6995081 30429865 34975405 152149325 174877025 1685814521 8429072605 42145363025