Search a number
-
+
435231225044 = 2271117322735983
BaseRepresentation
bin1100101010101011100…
…11010111010011010100
31112121102000100001001122
412111111303113103110
524112323143200134
6531535323343112
743305302241560
oct6252563272324
91477360301048
10435231225044
11158642753210
1270426081a98
133207172ca75
14170cb29c6a0
15b4c490002e
hex6555cd74d4

435231225044 has 96 divisors (see below), whose sum is σ = 959318470656. Its totient is φ = 167843076480.

The previous prime is 435231225007. The next prime is 435231225059. The reversal of 435231225044 is 440522132534.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 435231224995 and 435231225013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12077477 + ... + 12113459.

It is an arithmetic number, because the mean of its divisors is an integer number (9992900736).

Almost surely, 2435231225044 is an apocalyptic number.

435231225044 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 435231225044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479659235328).

435231225044 is an abundant number, since it is smaller than the sum of its proper divisors (524087245612).

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

435231225044 is a wasteful number, since it uses less digits than its factorization.

435231225044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36405 (or 36403 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 435231225044 its reverse (440522132534), we get a palindrome (875753357578).

The spelling of 435231225044 in words is "four hundred thirty-five billion, two hundred thirty-one million, two hundred twenty-five thousand, forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 173 227 308 346 454 692 908 1211 1589 1903 2422 2497 3178 3806 4844 4994 6356 7612 9988 13321 17479 26642 34958 35983 39271 53284 69916 71966 78542 143932 157084 251881 274897 395813 431981 503762 549794 791626 863962 1007524 1099588 1583252 1727924 2770691 3023867 5541382 6047734 6225059 8168141 11082764 12095468 12450118 16336282 24900236 32672564 43575413 57176987 68475649 87150826 89849551 114353974 136951298 174301652 179699102 228707948 273902596 359398204 479329543 628946857 958659086 1257893714 1413088393 1917318172 2515787428 2826176786 5652353572 9891618751 15543972323 19783237502 31087944646 39566475004 62175889292 108807806261 217615612522 435231225044