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114434330010 = 2357211133714713
BaseRepresentation
bin110101010010011010…
…0010100110110011010
3101221101010101021120220
41222210310110312122
53333330142030020
6124323112500510
711160534520200
oct1524464246632
9357333337526
10114434330010
1144593217960
121a2179aa736
13aa390bca10
1457780b7070
152e9b563240
hex1aa4d14d9a

114434330010 has 384 divisors, whose sum is σ = 385505858304. Its totient is φ = 21354762240.

The previous prime is 114434329993. The next prime is 114434330029. The reversal of 114434330010 is 10033434411.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7770414 + ... + 7785126.

It is an arithmetic number, because the mean of its divisors is an integer number (1003921506).

Almost surely, 2114434330010 is an apocalyptic number.

114434330010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114434330010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192752929152).

114434330010 is an abundant number, since it is smaller than the sum of its proper divisors (271071528294).

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

114434330010 is a wasteful number, since it uses less digits than its factorization.

114434330010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14798 (or 14791 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 114434330010 its reverse (10033434411), we get a palindrome (124467764421).

It can be divided in two parts, 114434 and 330010, that added together give a palindrome (444444).

The spelling of 114434330010 in words is "one hundred fourteen billion, four hundred thirty-four million, three hundred thirty thousand, ten".