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434144443044 = 223132995964731
BaseRepresentation
bin1100101000101010000…
…01100111101010100100
31112111121021100210102110
412110111001213222210
524103111434134134
6531235422041020
743236334610124
oct6242501475244
91474537323373
10434144443044
11158135246874
1270182119170
1331c2a5295b0
1417026c00c84
15b45e2ca7e9
hex6515067aa4

434144443044 has 48 divisors (see below), whose sum is σ = 1128545248320. Its totient is φ = 128976597120.

The previous prime is 434144442997. The next prime is 434144443067. The reversal of 434144443044 is 440344441434.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 434144442993 and 434144443011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47977842 + ... + 47986889.

It is an arithmetic number, because the mean of its divisors is an integer number (23511359340).

Almost surely, 2434144443044 is an apocalyptic number.

It is an amenable number.

434144443044 is an abundant number, since it is smaller than the sum of its proper divisors (694400805276).

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

434144443044 is a wasteful number, since it uses less digits than its factorization.

434144443044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95964780 (or 95964778 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 39.

Adding to 434144443044 its reverse (440344441434), we get a palindrome (874488884478).

The spelling of 434144443044 in words is "four hundred thirty-four billion, one hundred forty-four million, four hundred forty-three thousand, forty-four".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 1131 1508 2262 4524 95964731 191929462 287894193 383858924 575788386 1151576772 1247541503 2495083006 2782977199 3742624509 4990166012 5565954398 7485249018 8348931597 11131908796 14970498036 16697863194 33395726388 36178703587 72357407174 108536110761 144714814348 217072221522 434144443044