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114410332014 = 231121797571163
BaseRepresentation
bin110101010001101100…
…0110001111101101110
3101221022110020001112020
41222203120301331232
53333303021111024
6124320454251010
711160123530166
oct1524330617556
9357273201466
10114410332014
1144580716900
121a20b956a66
13aa34139914
145774c2b5a6
152e993c2979
hex1aa3631f6e

114410332014 has 96 divisors (see below), whose sum is σ = 253470591360. Its totient is φ = 34400963520.

The previous prime is 114410332013. The next prime is 114410332019. The reversal of 114410332014 is 410233014411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114410332013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98374597 + ... + 98375759.

It is an arithmetic number, because the mean of its divisors is an integer number (2640318660).

Almost surely, 2114410332014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114410332014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126735295680).

114410332014 is an abundant number, since it is smaller than the sum of its proper divisors (139060259346).

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

114410332014 is a wasteful number, since it uses less digits than its factorization.

114410332014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 114410332014 its reverse (410233014411), we get a palindrome (524643346425).

The spelling of 114410332014 in words is "one hundred fourteen billion, four hundred ten million, three hundred thirty-two thousand, fourteen".

Divisors: 1 2 3 6 11 22 33 66 121 179 242 358 363 537 726 757 1074 1163 1514 1969 2271 2326 3489 3938 4542 5907 6978 8327 11814 12793 16654 21659 24981 25586 38379 43318 49962 64977 76758 91597 129954 135503 140723 183194 208177 271006 274791 281446 406509 416354 422169 549582 624531 813018 844338 880391 1249062 1490533 1760782 2289947 2641173 2981066 4471599 4579894 5282346 6869841 8943198 9684301 13739682 16395863 19368602 25189417 29052903 32791726 49187589 50378834 58105806 75568251 98375178 106527311 151136502 157589989 213054622 315179978 319581933 472769967 639163866 945539934 1733489879 3466979758 5200469637 10400939274 19068388669 38136777338 57205166007 114410332014