Search a number
-
+
94090041081 = 3259217332
BaseRepresentation
bin101011110100000110…
…1000001011011111001
322222212022000022201100
41113220031001123321
53020144022303311
6111120244042013
76540432103401
oct1275015013371
9288768008640
1094090041081
11369a3414533
121629a693309
138b462ab52a
1447a81ad801
1526aa48aa56
hex15e83416f9

94090041081 has 27 divisors (see below), whose sum is σ = 138330223759. Its totient is φ = 61627947792.

The previous prime is 94090041079. The next prime is 94090041121. The reversal of 94090041081 is 18014009049.

The square root of 94090041081 is 306741.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 41793669225 + 52296371856 = 204435^2 + 228684^2 .

It is not a de Polignac number, because 94090041081 - 21 = 94090041079 is a prime.

It is a super-2 number, since 2×940900410812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (94090041041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 54292291 + ... + 54294023.

Almost surely, 294090041081 is an apocalyptic number.

94090041081 is the 306741-st square number.

94090041081 is the 153371-st centered octagonal number.

It is an amenable number.

94090041081 is a deficient number, since it is larger than the sum of its proper divisors (44240182678).

94090041081 is an frugal number, since it uses more digits than its factorization.

94090041081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Multiplying 94090041081 by its sum of digits (36), we get a square (3387241478916 = 18404462).

The spelling of 94090041081 in words is "ninety-four billion, ninety million, forty-one thousand, eighty-one".

Divisors: 1 3 9 59 177 531 1733 3481 5199 10443 15597 31329 102247 306741 920223 3003289 6032573 9009867 18097719 27029601 54293157 177194051 531582153 1594746459 10454449009 31363347027 94090041081