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434421310444 = 221121752797923
BaseRepresentation
bin1100101001001011000…
…01110010001111101100
31112112022120100010002121
412110211201302033230
524104143323413234
6531323112202324
743246236132532
oct6244541621754
91475276303077
10434421310444
11158267560400
127023a9993a4
1331c729b8164
14170518b2152
15b47876a4b4
hex65258723ec

434421310444 has 36 divisors (see below), whose sum is σ = 884787610392. Its totient is φ = 185848685440.

The previous prime is 434421310409. The next prime is 434421310451. The reversal of 434421310444 is 444013124434.

It is a Harshad number since it is a multiple of its sum of digits (34).

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 11 ways as a sum of consecutive naturals, for example, 26390734 + ... + 26407189.

It is an arithmetic number, because the mean of its divisors is an integer number (24577433622).

Almost surely, 2434421310444 is an apocalyptic number.

434421310444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

434421310444 is an abundant number, since it is smaller than the sum of its proper divisors (450366299948).

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

434421310444 is a wasteful number, since it uses less digits than its factorization.

434421310444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52797966 (or 52797953 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 434421310444 its reverse (444013124434), we get a palindrome (878434434878).

The spelling of 434421310444 in words is "four hundred thirty-four billion, four hundred twenty-one million, three hundred ten thousand, four hundred forty-four".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 374 484 748 2057 4114 8228 52797923 105595846 211191692 580777153 897564691 1161554306 1795129382 2323108612 3590258764 6388548683 9873211601 12777097366 19746423202 25554194732 39492846404 108605327611 217210655222 434421310444