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434441343424 = 26115211184461
BaseRepresentation
bin1100101001001101011…
…10001101000111000000
31112112100222000220011211
412110212232031013000
524104213440442144
6531325105415504
743246601326654
oct6244656150700
91475328026154
10434441343424
111582778a3490
127024563a594
1331c76bb05aa
1417054408a64
15b47a3c6034
hex6526b8d1c0

434441343424 has 56 divisors (see below), whose sum is σ = 942272685936. Its totient is φ = 197094144000.

The previous prime is 434441343353. The next prime is 434441343437. The reversal of 434441343424 is 424343144434.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 225447 + ... + 959014.

Almost surely, 2434441343424 is an apocalyptic number.

434441343424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

434441343424 is an abundant number, since it is smaller than the sum of its proper divisors (507831342512).

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

434441343424 is a wasteful number, since it uses less digits than its factorization.

434441343424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185005 (or 1184995 counting only the distinct ones).

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

Adding to 434441343424 its reverse (424343144434), we get a palindrome (858784487858).

The spelling of 434441343424 in words is "four hundred thirty-four billion, four hundred forty-one million, three hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 521 704 1042 2084 4168 5731 8336 11462 16672 22924 33344 45848 91696 183392 366784 1184461 2368922 4737844 9475688 13029071 18951376 26058142 37902752 52116284 75805504 104232568 208465136 416930272 617104181 833860544 1234208362 2468416724 4936833448 6788145991 9873666896 13576291982 19747333792 27152583964 39494667584 54305167928 108610335856 217220671712 434441343424