Search a number
-
+
42414466225 = 52371271732087
BaseRepresentation
bin100111100000000110…
…010110010010110001
311001110221022010111111
4213200012112102301
51143331100404400
631252425113321
73031033004635
oct474006262261
9131427263444
1042414466225
1116a9595127a
128278628841
133ccc3648c1
1420a5114dc5
1511839693ba
hex9e01964b1

42414466225 has 48 divisors (see below), whose sum is σ = 54781636608. Its totient is φ = 32549610240.

The previous prime is 42414466219. The next prime is 42414466231. The reversal of 42414466225 is 52266441424.

It is an interprime number because it is at equal distance from previous prime (42414466219) and next prime (42414466231).

It is a de Polignac number, because none of the positive numbers 2k-42414466225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20322132 + ... + 20324218.

It is an arithmetic number, because the mean of its divisors is an integer number (1141284096).

Almost surely, 242414466225 is an apocalyptic number.

It is an amenable number.

42414466225 is a deficient number, since it is larger than the sum of its proper divisors (12367170383).

42414466225 is a wasteful number, since it uses less digits than its factorization.

42414466225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2429 counting only the distinct ones).

The product of its digits is 368640, while the sum is 40.

The spelling of 42414466225 in words is "forty-two billion, four hundred fourteen million, four hundred sixty-six thousand, two hundred twenty-five".

Divisors: 1 5 25 37 127 173 185 635 865 925 2087 3175 4325 4699 6401 10435 21971 23495 32005 52175 77219 109855 117475 160025 265049 361051 386095 549275 812927 1325245 1805255 1930475 4064635 6626225 9026275 9806813 13358887 20323175 45853477 49034065 66794435 229267385 245170325 333972175 1146336925 1696578649 8482893245 42414466225