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114430511766 = 231923351712409
BaseRepresentation
bin110101010010010010…
…1110000101010010110
3101221100212012021221110
41222210211300222112
53333323202334031
6124322454555450
711160460205244
oct1524445605226
9357325167843
10114430511766
114459104a18a
121a216668b86
13aa38383abc
1457777a1794
152e9b05bc46
hex1aa4970a96

114430511766 has 64 divisors (see below), whose sum is σ = 251472268800. Its totient is φ = 34552210176.

The previous prime is 114430511729. The next prime is 114430511773. The reversal of 114430511766 is 667115034411.

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 31 ways as a sum of consecutive naturals, for example, 9215370 + ... + 9227778.

It is an arithmetic number, because the mean of its divisors is an integer number (3929254200).

Almost surely, 2114430511766 is an apocalyptic number.

114430511766 is an abundant number, since it is smaller than the sum of its proper divisors (137041757034).

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

114430511766 is a wasteful number, since it uses less digits than its factorization.

114430511766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15973.

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 114430511766 in words is "one hundred fourteen billion, four hundred thirty million, five hundred eleven thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 19 23 38 46 57 69 114 138 437 874 1311 2622 3517 7034 10551 12409 21102 24818 37227 66823 74454 80891 133646 161782 200469 235771 242673 285407 400938 471542 485346 570814 707313 856221 1414626 1536929 1712442 3073858 4610787 5422733 9221574 10845466 16268199 32536398 43642453 87284906 130927359 261854718 829206607 1003776419 1658413214 2007552838 2487619821 3011329257 4975239642 6022658514 19071751961 38143503922 57215255883 114430511766