Search a number
-
+
21425391434304 = 263211131039125033
BaseRepresentation
bin1001101111100011111001…
…10110000111101001000000
32210212020200100220210212100
410313301330312013221000
510302013200201344204
6113322404451230400
74340635113221124
oct467617466075100
983766610823770
1021425391434304
1169105039a6780
1224a04742a8400
13bc5537556940
14540dccbc5584
152724cc238a39
hex137c7cd87a40

21425391434304 has 336 divisors, whose sum is σ = 72158208280704. Its totient is φ = 5992300339200.

The previous prime is 21425391434261. The next prime is 21425391434309. The reversal of 21425391434304 is 40343419352412.

21425391434304 is a `hidden beast` number, since 2 + 1 + 4 + 253 + 91 + 4 + 3 + 4 + 304 = 666.

It is a super-2 number, since 2×214253914343042 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21425391434304.

It is not an unprimeable number, because it can be changed into a prime (21425391434309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 855873372 + ... + 855898404.

It is an arithmetic number, because the mean of its divisors is an integer number (214756572264).

Almost surely, 221425391434304 is an apocalyptic number.

21425391434304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21425391434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36079104140352).

21425391434304 is an abundant number, since it is smaller than the sum of its proper divisors (50732816846400).

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

21425391434304 is a wasteful number, since it uses less digits than its factorization.

21425391434304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35466 (or 35453 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 21425391434304 in words is "twenty-one trillion, four hundred twenty-five billion, three hundred ninety-one million, four hundred thirty-four thousand, three hundred four".