Search a number
-
+
234401104432 = 24111092112097
BaseRepresentation
bin1101101001001101100…
…1010000001000110000
3211102000211000212011101
43122103121100020300
512320023140320212
6255403221054144
722635451341055
oct3322331201060
9742024025141
10234401104432
1190455349120
1239518557354
1319147442b81
14b4b8c5102c
15616d654157
hex3693650230

234401104432 has 60 divisors (see below), whose sum is σ = 500030167896. Its totient is φ = 105567528960.

The previous prime is 234401104423. The next prime is 234401104453.

234401104432 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 234401104432.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2035008 + ... + 2147104.

Almost surely, 2234401104432 is an apocalyptic number.

234401104432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234401104432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250015083948).

234401104432 is an abundant number, since it is smaller than the sum of its proper divisors (265629063464).

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

234401104432 is a wasteful number, since it uses less digits than its factorization.

234401104432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112334 (or 112219 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 234401 and 104432, that added together give a palindrome (338833).

The spelling of 234401104432 in words is "two hundred thirty-four billion, four hundred one million, one hundred four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 109 176 218 436 872 1199 1744 2398 4796 9592 11881 19184 23762 47524 95048 112097 130691 190096 224194 261382 448388 522764 896776 1045528 1233067 1793552 2091056 2466134 4932268 9864536 12218573 19729072 24437146 48874292 97748584 134404303 195497168 268808606 537617212 1075234424 1331824457 2150468848 2663648914 5327297828 10654595656 14650069027 21309191312 29300138054 58600276108 117200552216 234401104432