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434122330312 = 231129174797373
BaseRepresentation
bin1100101000100111011…
…01010001000011001000
31112111112201202100110101
412110103231101003020
524103040304032222
6531233312055144
743235645631406
oct6242355210310
91474481670411
10434122330312
11158123813190
12701768344b4
1331c25a86638
1417023cc6476
15b45c3ad927
hex6513b510c8

434122330312 has 64 divisors (see below), whose sum is σ = 919132660800. Its totient is φ = 190412893440.

The previous prime is 434122330297. The next prime is 434122330381. The reversal of 434122330312 is 213033221434.

It is a happy number.

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, 4409658 + ... + 4507030.

It is an arithmetic number, because the mean of its divisors is an integer number (14361447825).

Almost surely, 2434122330312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434122330312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459566330400).

434122330312 is an abundant number, since it is smaller than the sum of its proper divisors (485010330488).

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

434122330312 is a wasteful number, since it uses less digits than its factorization.

434122330312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99166 (or 99162 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 434122330312 its reverse (213033221434), we get a palindrome (647155551746).

The spelling of 434122330312 in words is "four hundred thirty-four billion, one hundred twenty-two million, three hundred thirty thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 638 1276 1747 2552 3494 6988 13976 19217 38434 50663 76868 97373 101326 153736 194746 202652 389492 405304 557293 778984 1071103 1114586 2142206 2229172 2823817 4284412 4458344 5647634 8568824 11295268 22590536 31061987 62123974 124247948 170110631 248495896 340221262 680442524 1360885048 1871216941 3742433882 4933208299 7484867764 9866416598 14969735528 19732833196 39465666392 54265291289 108530582578 217061165156 434122330312