Search a number
-
+
434144024622 = 232711313235227
BaseRepresentation
bin1100101000101010000…
…00000001100000101110
31112111121020120112110100
412110111000001200232
524103111332241442
6531235405051530
743236331215210
oct6242500014056
91474536515410
10434144024622
11158134a90470
1270181b56ba6
1331c2a410cc9
1417026b325b0
15b45e24684c
hex651500182e

434144024622 has 48 divisors (see below), whose sum is σ = 1172752693632. Its totient is φ = 112764681360.

The previous prime is 434144024599. The next prime is 434144024653. The reversal of 434144024622 is 226420441434.

434144024622 is a `hidden beast` number, since 4 + 3 + 4 + 1 + 4 + 4 + 0 + 24 + 622 = 666.

It is a super-2 number, since 2×4341440246222 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156616228 + ... + 156618999.

It is an arithmetic number, because the mean of its divisors is an integer number (24432347784).

Almost surely, 2434144024622 is an apocalyptic number.

434144024622 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

434144024622 is an abundant number, since it is smaller than the sum of its proper divisors (738608669010).

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

434144024622 is a wasteful number, since it uses less digits than its factorization.

434144024622 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313235253 (or 313235250 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 434144024622 in words is "four hundred thirty-four billion, one hundred forty-four million, twenty-four thousand, six hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 313235227 626470454 939705681 1879411362 2192646589 2819117043 3445587497 4385293178 5638234086 6577939767 6891174994 10336762491 13155879534 19733819301 20673524982 24119112479 31010287473 39467638602 48238224958 62020574946 72357337437 144714674874 217072012311 434144024622