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434144324004 = 223174349492057
BaseRepresentation
bin1100101000101010000…
…01001010100110100100
31112111121021010202010120
412110111001022212210
524103111421332004
6531235415321540
743236333603066
oct6242501124644
91474537122116
10434144324004
11158135175396
12701820802b0
1331c2a4b7361
1417026bad736
15b45e2a53d9
hex651504a9a4

434144324004 has 48 divisors (see below), whose sum is σ = 1097535878208. Its totient is φ = 133034646528.

The previous prime is 434144323981. The next prime is 434144324017. The reversal of 434144324004 is 400423441434.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24737257 + ... + 24754800.

It is an arithmetic number, because the mean of its divisors is an integer number (22865330796).

Almost surely, 2434144324004 is an apocalyptic number.

It is an amenable number.

434144324004 is an abundant number, since it is smaller than the sum of its proper divisors (663391554204).

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

434144324004 is a wasteful number, since it uses less digits than its factorization.

434144324004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49492124 (or 49492122 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 434144324004 its reverse (400423441434), we get a palindrome (834567765438).

The spelling of 434144324004 in words is "four hundred thirty-four billion, one hundred forty-four million, three hundred twenty-four thousand, four".

Divisors: 1 2 3 4 6 12 17 34 43 51 68 86 102 129 172 204 258 516 731 1462 2193 2924 4386 8772 49492057 98984114 148476171 197968228 296952342 593904684 841364969 1682729938 2128158451 2524094907 3365459876 4256316902 5048189814 6384475353 8512633804 10096379628 12768950706 25537901412 36178693667 72357387334 108536081001 144714774668 217072162002 434144324004