Search a number
-
+
129744760401 = 321200672
BaseRepresentation
bin111100011010101100…
…0111110111001010001
3110101220010122201201100
41320311120332321101
54111204124313101
6135334240255013
712242124160404
oct1706530767121
9411803581640
10129744760401
115002a597913
122118b311469
13c309049299
1463cb627d3b
153595746e86
hex1e3563ee51

129744760401 has 9 divisors (see below), whose sum is σ = 187410659241. Its totient is φ = 86495786532.

The previous prime is 129744760357. The next prime is 129744760421. The reversal of 129744760401 is 104067447921.

The square root of 129744760401 is 360201.

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

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 129744760401 - 215 = 129744727633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (129744760421) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1020570 + ... + 1140636.

Almost surely, 2129744760401 is an apocalyptic number.

129744760401 is the 360201-st square number.

129744760401 is the 180101-st centered octagonal number.

It is an amenable number.

129744760401 is a deficient number, since it is larger than the sum of its proper divisors (57665898840).

129744760401 is an frugal number, since it uses more digits than its factorization.

129744760401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240140 (or 120070 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 129744760401 in words is "one hundred twenty-nine billion, seven hundred forty-four million, seven hundred sixty thousand, four hundred one".

Divisors: 1 3 9 120067 360201 1080603 14416084489 43248253467 129744760401