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114010511521032 = 23347231489733921
BaseRepresentation
bin11001111011000100100100…
…000010100011010100001000
3112221200022001120112002010000
4121323010210002203110020
5104420422011422133112
61042251412252123000
733004662521134620
oct3173044402432410
9487608046462100
10114010511521032
113336664a562125
1210954001766460
134b801b6a44409
1420221d1317880
15d2aa1d41c7dc
hex67b1240a3508

114010511521032 has 320 divisors, whose sum is σ = 381078136454400. Its totient is φ = 31137184235520.

The previous prime is 114010511521003. The next prime is 114010511521037. The reversal of 114010511521032 is 230125115010411.

114010511521032 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 105 + 1 + 1 + 521 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 114010511520987 and 114010511521005.

It is not an unprimeable number, because it can be changed into a prime (114010511521037) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 154977432 + ... + 155711352.

It is an arithmetic number, because the mean of its divisors is an integer number (1190869176420).

Almost surely, 2114010511521032 is an apocalyptic number.

114010511521032 is a gapful number since it is divisible by the number (12) 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 114010511521032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190539068227200).

114010511521032 is an abundant number, since it is smaller than the sum of its proper divisors (267067624933368).

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

114010511521032 is a wasteful number, since it uses less digits than its factorization.

114010511521032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735458 (or 735445 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

Adding to 114010511521032 its reverse (230125115010411), we get a palindrome (344135626531443).

The spelling of 114010511521032 in words is "one hundred fourteen trillion, ten billion, five hundred eleven million, five hundred twenty-one thousand, thirty-two".