Search a number
-
+
39960814229 = 729731326861
BaseRepresentation
bin100101001101110110…
…011010001010010101
310211010221022200201122
4211031312122022111
51123314432023404
630205134533325
72613160213400
oct451566321225
9124127280648
1039960814229
1115a46924206
1278b2967245
1339cac1250b
141d112cad37
15108d3463be
hex94dd9a295

39960814229 has 24 divisors (see below), whose sum is σ = 47116055448. Its totient is φ = 33789450240.

The previous prime is 39960814211. The next prime is 39960814241. The reversal of 39960814229 is 92241806993.

39960814229 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3404139025 + 36556675204 = 58345^2 + 191198^2 .

It is not a de Polignac number, because 39960814229 - 28 = 39960813973 is a prime.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39960814249) 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, 1474259 + ... + 1501119.

It is an arithmetic number, because the mean of its divisors is an integer number (1963168977).

Almost surely, 239960814229 is an apocalyptic number.

It is an amenable number.

39960814229 is a deficient number, since it is larger than the sum of its proper divisors (7155241219).

39960814229 is a wasteful number, since it uses less digits than its factorization.

39960814229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27285 (or 27278 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 53.

The spelling of 39960814229 in words is "thirty-nine billion, nine hundred sixty million, eight hundred fourteen thousand, two hundred twenty-nine".

Divisors: 1 7 49 97 313 679 2191 4753 15337 26861 30361 188027 212527 1316189 1487689 2605517 8407493 18238619 58852451 127670333 411967157 815526821 5708687747 39960814229