Search a number
-
+
20414254308279 = 3132232333750383
BaseRepresentation
bin1001010010001000100000…
…11000000101101110110111
32200021120202111000202121020
410221010100120011232313
510133431343100331104
6111230102353352223
74204611152365656
oct451042030055667
980246674022536
1020414254308279
1165607003a41a7
122358504568673
13b51095b21600
145080ab5b519d
1525604cd982d9
hex129110605bb7

20414254308279 has 48 divisors (see below), whose sum is σ = 30768529425408. Its totient is φ = 12011250615936.

The previous prime is 20414254308277. The next prime is 20414254308281. The reversal of 20414254308279 is 97280345241402.

It is an interprime number because it is at equal distance from previous prime (20414254308277) and next prime (20414254308281).

It is not a de Polignac number, because 20414254308279 - 21 = 20414254308277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20414254308271) 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 47 ways as a sum of consecutive naturals, for example, 26829922 + ... + 27580304.

It is an arithmetic number, because the mean of its divisors is an integer number (641011029696).

Almost surely, 220414254308279 is an apocalyptic number.

20414254308279 is a deficient number, since it is larger than the sum of its proper divisors (10354275117129).

20414254308279 is a wasteful number, since it uses less digits than its factorization.

20414254308279 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752768 (or 752755 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 20414254308279 in words is "twenty trillion, four hundred fourteen billion, two hundred fifty-four million, three hundred eight thousand, two hundred seventy-nine".

Divisors: 1 3 13 23 39 69 169 299 507 897 2333 3887 6999 11661 30329 53659 90987 160977 394277 697567 750383 1182831 2092701 2251149 9068371 9754979 17258809 27205113 29264937 51776427 126814727 224364517 380444181 673093551 1750643539 2916738721 5251930617 8750216163 22758366007 40264801397 68275098021 120794404191 295858758091 523442418161 887576274273 1570327254483 6804751436093 20414254308279