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434201103104 = 289721418167
BaseRepresentation
bin1100101000110000110…
…01110000101100000000
31112111202012222102102012
412110120121300230000
524103220440244404
6531245204312052
743240623323606
oct6243031605400
91474665872365
10434201103104
1115816422636a
12701990a2628
1331c391a7262
141703054d876
15b46426da6e
hex6518670b00

434201103104 has 72 divisors (see below), whose sum is σ = 876157476768. Its totient is φ = 214735749120.

The previous prime is 434201103097. The next prime is 434201103151. The reversal of 434201103104 is 401301102434.

It is a self number, because there is not a number n which added to its sum of digits gives 434201103104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53161229 + ... + 53169395.

It is an arithmetic number, because the mean of its divisors is an integer number (12168853844).

Almost surely, 2434201103104 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 434201103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438078738384).

434201103104 is an abundant number, since it is smaller than the sum of its proper divisors (441956373664).

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

434201103104 is an equidigital number, since it uses as much as digits as its factorization.

434201103104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10421 (or 10407 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 434201103104 its reverse (401301102434), we get a palindrome (835502205538).

The spelling of 434201103104 in words is "four hundred thirty-four billion, two hundred one million, one hundred three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 776 1552 2141 3104 4282 6208 8167 8564 12416 16334 17128 24832 32668 34256 65336 68512 130672 137024 207677 261344 274048 415354 522688 548096 792199 830708 1045376 1584398 1661416 2090752 3168796 3322832 6337592 6645664 12675184 13291328 17485547 25350368 26582656 34971094 50700736 53165312 69942188 101401472 139884376 202802944 279768752 559537504 1119075008 1696098059 2238150016 3392196118 4476300032 6784392236 13568784472 27137568944 54275137888 108550275776 217100551552 434201103104