Search a number
-
+
21434120344 = 2371357151563
BaseRepresentation
bin10011111101100100…
…101011100010011000
32001022210002010112001
4103331210223202120
5322344113322334
613502515330344
71356105005530
oct237544534230
961283063461
1021434120344
1190aa00294a
1241a22b09b4
132037841960
14107495a4c0
15856b00714
hex4fd92b898

21434120344 has 64 divisors (see below), whose sum is σ = 49550941440. Its totient is φ = 8464417920.

The previous prime is 21434120339. The next prime is 21434120363. The reversal of 21434120344 is 44302143412.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389907 + ... + 441469.

It is an arithmetic number, because the mean of its divisors is an integer number (774233460).

Almost surely, 221434120344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21434120344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24775470720).

21434120344 is an abundant number, since it is smaller than the sum of its proper divisors (28116821096).

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

21434120344 is a wasteful number, since it uses less digits than its factorization.

21434120344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52160 (or 52156 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 21434120344 its reverse (44302143412), we get a palindrome (65736263756).

It can be divided in two parts, 21434 and 120344, that added together give a triangular number (141778 = T532).

The spelling of 21434120344 in words is "twenty-one billion, four hundred thirty-four million, one hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 571 728 1142 2284 3997 4568 7423 7994 14846 15988 29692 31976 51563 51961 59384 103126 103922 206252 207844 360941 412504 415688 670319 721882 1340638 1443764 2681276 2887528 4692233 5362552 9384466 18768932 29442473 37537864 58884946 117769892 206097311 235539784 382752149 412194622 765504298 824389244 1531008596 1648778488 2679265043 3062017192 5358530086 10717060172 21434120344