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434432144344 = 231144831101211
BaseRepresentation
bin1100101001001100010…
…11000111001111011000
31112112100022201112102011
412110212023013033120
524104204112104334
6531324140315304
743246430204332
oct6244613071730
91475308645364
10434432144344
11158272690040
1270242542b34
1331c7500c453
14170530d2452
15b4796aa564
hex65262c73d8

434432144344 has 32 divisors (see below), whose sum is σ = 888810229440. Its totient is φ = 197424928800.

The previous prime is 434432144257. The next prime is 434432144407. The reversal of 434432144344 is 443441234434.

It is a junction number, because it is equal to n+sod(n) for n = 434432144297 and 434432144306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156102 + ... + 945109.

It is an arithmetic number, because the mean of its divisors is an integer number (27775319670).

Almost surely, 2434432144344 is an apocalyptic number.

434432144344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

434432144344 is an abundant number, since it is smaller than the sum of its proper divisors (454378085096).

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

434432144344 is a wasteful number, since it uses less digits than its factorization.

434432144344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105711 (or 1105707 counting only the distinct ones).

The product of its digits is 884736, while the sum is 40.

Adding to 434432144344 its reverse (443441234434), we get a palindrome (877873378778).

The spelling of 434432144344 in words is "four hundred thirty-four billion, four hundred thirty-two million, one hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 4483 8966 17932 35864 49313 98626 197252 394504 1101211 2202422 4404844 8809688 12113321 24226642 48453284 96906568 4936728913 9873457826 19746915652 39493831304 54304018043 108608036086 217216072172 434432144344