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434104222244 = 2271114923993943
BaseRepresentation
bin1100101000100101010…
…00001100001000100100
31112111111110200100212012
412110102220030020210
524103021140102434
6531231424013352
743235336002250
oct6242250141044
91474443610765
10434104222244
11158114575340
1270170761258
1331c220b63c4
1417021731260
15b45a9d33ce
hex6512a0c224

434104222244 has 96 divisors (see below), whose sum is σ = 954132480000. Its totient is φ = 167883788160.

The previous prime is 434104222241. The next prime is 434104222261. The reversal of 434104222244 is 442222401434.

It is a self number, because there is not a number n which added to its sum of digits gives 434104222244.

It is not an unprimeable number, because it can be changed into a prime (434104222241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 110092937 + ... + 110096879.

It is an arithmetic number, because the mean of its divisors is an integer number (9938880000).

Almost surely, 2434104222244 is an apocalyptic number.

434104222244 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 434104222244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477066240000).

434104222244 is an abundant number, since it is smaller than the sum of its proper divisors (520028257756).

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

434104222244 is a wasteful number, since it uses less digits than its factorization.

434104222244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6513 (or 6511 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 434104222244 its reverse (442222401434), we get a palindrome (876326623678).

The spelling of 434104222244 in words is "four hundred thirty-four billion, one hundred four million, two hundred twenty-two thousand, two hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 149 154 298 308 596 1043 1639 2086 2399 3278 3943 4172 4798 6556 7886 9596 11473 15772 16793 22946 26389 27601 33586 43373 45892 52778 55202 67172 86746 105556 110404 173492 184723 303611 357451 369446 587507 607222 714902 738892 1175014 1214444 1429804 2350028 2502157 3931961 4112549 5004314 6462577 7863922 8225098 9459257 10008628 12925154 15727844 16450196 18918514 25850308 27523727 37837028 45238039 55047454 66214799 90476078 104051827 110094908 132429598 180952156 208103654 264859196 416207308 728362789 1409429293 1456725578 2818858586 2913451156 5637717172 9866005051 15503722223 19732010102 31007444446 39464020204 62014888892 108526055561 217052111122 434104222244