Search a number
-
+
1414066941 = 327229110569
BaseRepresentation
bin101010001001000…
…1111001011111101
310122112211001011200
41110102033023331
510344000120231
6352152210113
750020241100
oct12422171375
93575731150
101414066941
11666227471
12335699939
13196c65501
14d5b34737
1584222be6
hex5448f2fd

1414066941 has 36 divisors (see below), whose sum is σ = 2457971100. Its totient is φ = 780167808.

The previous prime is 1414066937. The next prime is 1414066961. The reversal of 1414066941 is 1496604141.

It can be written as a sum of positive squares in 2 ways, for example, as 780084900 + 633982041 = 27930^2 + 25179^2 .

It is not a de Polignac number, because 1414066941 - 22 = 1414066937 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1414066896 and 1414066905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414066961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42496 + ... + 68073.

It is an arithmetic number, because the mean of its divisors is an integer number (68276975).

Almost surely, 21414066941 is an apocalyptic number.

It is an amenable number.

1414066941 is a deficient number, since it is larger than the sum of its proper divisors (1043904159).

1414066941 is a wasteful number, since it uses less digits than its factorization.

1414066941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110618 (or 110608 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1414066941 is about 37604.0814407160. The cubic root of 1414066941 is about 1122.4232558151.

The spelling of 1414066941 in words is "one billion, four hundred fourteen million, sixty-six thousand, nine hundred forty-one".

Divisors: 1 3 7 9 21 29 49 63 87 147 203 261 441 609 1421 1827 4263 12789 110569 331707 773983 995121 2321949 3206501 5417881 6965847 9619503 16253643 22445507 28858509 48760929 67336521 157118549 202009563 471355647 1414066941