Search a number
-
+
40079639601 = 32667332
BaseRepresentation
bin100101010100111011…
…101100010000110001
310211110012220122111100
4211110323230100301
51124040341431401
630225021435013
72616132213141
oct452473542061
9124405818440
1040079639601
1115aa7a034a1
12792670ba69
133a197178a1
141d22dbc921
1510989b8b86
hex954eec431

40079639601 has 9 divisors (see below), whose sum is σ = 57893680299. Its totient is φ = 26719359336.

The previous prime is 40079639599. The next prime is 40079639629. The reversal of 40079639601 is 10693697004.

The square root of 40079639601 is 200199.

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

40079639601 is a `hidden beast` number, since 4 + 0 + 0 + 7 + 9 + 6 + 39 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39674664225 + 404975376 = 199185^2 + 20124^2 .

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

It is not a de Polignac number, because 40079639601 - 21 = 40079639599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40079639651) 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 8 ways as a sum of consecutive naturals, for example, 567231 + ... + 633963.

Almost surely, 240079639601 is an apocalyptic number.

40079639601 is the 200199-th square number.

40079639601 is the 100100-th centered octagonal number.

It is an amenable number.

40079639601 is a deficient number, since it is larger than the sum of its proper divisors (17814040698).

40079639601 is an frugal number, since it uses more digits than its factorization.

40079639601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133472 (or 66736 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 40079639601 in words is "forty billion, seventy-nine million, six hundred thirty-nine thousand, six hundred one".

Divisors: 1 3 9 66733 200199 600597 4453293289 13359879867 40079639601