Search a number
-
+
4042424220440 = 2351627603710289
BaseRepresentation
bin111010110100110011010…
…000100111101100011000
3112022110012111100101200212
4322310303100213230120
51012212341100023230
612333021500150252
7565025016635024
oct72646320475430
915273174311625
104042424220440
1113194230a5381
12553547838388
13234278197058
14dd923873384
15702456ee895
hex3ad33427b18

4042424220440 has 64 divisors (see below), whose sum is σ = 9103437050400. Its totient is φ = 1615551141888.

The previous prime is 4042424220437. The next prime is 4042424220463. The reversal of 4042424220440 is 440224242404.

4042424220440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4042424220397 and 4042424220406.

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, 392882816 + ... + 392893104.

Almost surely, 24042424220440 is an apocalyptic number.

4042424220440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042424220440 is an abundant number, since it is smaller than the sum of its proper divisors (5061012829960).

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

4042424220440 is a wasteful number, since it uses less digits than its factorization.

4042424220440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17964 (or 17960 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 4042424220440 its reverse (440224242404), we get a palindrome (4482648462844).

The spelling of 4042424220440 in words is "four trillion, forty-two billion, four hundred twenty-four million, two hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1627 3254 6037 6508 8135 10289 12074 13016 16270 20578 24148 30185 32540 41156 48296 51445 60370 65080 82312 102890 120740 205780 241480 411560 9822199 16740203 19644398 33480406 39288796 49110995 62114693 66960812 78577592 83701015 98221990 124229386 133921624 167402030 196443980 248458772 310573465 334804060 392887960 496917544 621146930 669608120 1242293860 2484587720 101060605511 202121211022 404242422044 505303027555 808484844088 1010606055110 2021212110220 4042424220440