Search a number
-
+
20341414302 = 23112109725541
BaseRepresentation
bin10010111100011100…
…010101100110011110
31221111121221220121220
4102330130111212132
5313124400224202
613202243034210
71320036111606
oct227434254636
957447856556
1020341414302
11869921a700
123b3836b966
131bc2345c31
14dad799c06
157e0c0aabc
hex4bc71599e

20341414302 has 48 divisors (see below), whose sum is σ = 44760005136. Its totient is φ = 6158204800.

The previous prime is 20341414273. The next prime is 20341414309.

20341414302 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×203414143022 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20341414309) 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 23 ways as a sum of consecutive naturals, for example, 783652 + ... + 809192.

It is an arithmetic number, because the mean of its divisors is an integer number (932500107).

Almost surely, 220341414302 is an apocalyptic number.

20341414302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20341414302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22380002568).

20341414302 is an abundant number, since it is smaller than the sum of its proper divisors (24418590834).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20341414302 is a wasteful number, since it uses less digits than its factorization.

20341414302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26665 (or 26654 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 20341414302 in words is "twenty billion, three hundred forty-one million, four hundred fourteen thousand, three hundred two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1097 2194 3291 6582 12067 24134 25541 36201 51082 72402 76623 132737 153246 265474 280951 398211 561902 796422 842853 1685706 3090461 6180922 9271383 18542766 28018477 56036954 84055431 168110862 308203247 616406494 924609741 1849219482 3390235717 6780471434 10170707151 20341414302