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424344241024 = 27113126573659
BaseRepresentation
bin1100010110011001110…
…00110100001110000000
31111120022021112221121021
412023030320310032000
523423024111203044
6522535133435224
742441434351434
oct6131470641600
91446267487537
10424344241024
11153a66296a60
126a2a803bb14
13310280554a2
141677740a9c4
15b088c36e84
hex62cce34380

424344241024 has 128 divisors (see below), whose sum is σ = 952593177600. Its totient is φ = 186540441600.

The previous prime is 424344240977. The next prime is 424344241049. The reversal of 424344241024 is 420142443424.

It is a tau number, because it is divible by the number of its divisors (128).

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, 115970907 + ... + 115974565.

It is an arithmetic number, because the mean of its divisors is an integer number (7442134200).

Almost surely, 2424344241024 is an apocalyptic number.

424344241024 is a gapful number since it is divisible by the number (44) 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 424344241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476296588800).

424344241024 is an abundant number, since it is smaller than the sum of its proper divisors (528248936576).

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

424344241024 is a wasteful number, since it uses less digits than its factorization.

424344241024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6372 (or 6360 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 424344241024 its reverse (420142443424), we get a palindrome (844486684448).

The spelling of 424344241024 in words is "four hundred twenty-four billion, three hundred forty-four million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 341 352 496 682 704 992 1364 1408 1984 2657 2728 3659 3968 5314 5456 7318 10628 10912 14636 21256 21824 29227 29272 40249 42512 43648 58454 58544 80498 82367 85024 113429 116908 117088 160996 164734 170048 226858 233816 234176 321992 329468 340096 453716 467632 468352 643984 658936 906037 907432 935264 1247719 1287968 1317872 1812074 1814864 1870528 2495438 2575936 2635744 3624148 3629728 3741056 4990876 5151872 5271488 7248296 7259456 9721963 9981752 10542976 14496592 14518912 19443926 19963504 28993184 38887852 39927008 57986368 77775704 79854016 106941593 115972736 155551408 159708032 213883186 301380853 311102816 427766372 602761706 622205632 855532744 1205523412 1244411264 1711065488 2411046824 3315189383 3422130976 4822093648 6630378766 6844261952 9644187296 13260757532 13688523904 19288374592 26521515064 38576749184 53043030128 106086060256 212172120512 424344241024