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114541311344119 = 1134267303873887
BaseRepresentation
bin11010000010110010111010…
…001011001011110111110111
3120000120001010221000220201221
4122002302322023023313313
5110003121101201002434
61043335315122331211
733061223321162002
oct3202627213136767
9500501127026657
10114541311344119
1133550774193570
1210a1aa594b9b07
134bbb278b7777a
14203db86ca6539
15d39737eb92b4
hex682cba2cbdf7

114541311344119 has 8 divisors (see below), whose sum is σ = 124957804727808. Its totient is φ = 104125425776760.

The previous prime is 114541311344113. The next prime is 114541311344137. The reversal of 114541311344119 is 911443113145411.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 114541311344119 - 217 = 114541311213047 is a prime.

It is a super-3 number, since 3×1145413113441193 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114541311344113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151560007 + ... + 152313880.

It is an arithmetic number, because the mean of its divisors is an integer number (15619725590976).

Almost surely, 2114541311344119 is an apocalyptic number.

114541311344119 is a deficient number, since it is larger than the sum of its proper divisors (10416493383689).

114541311344119 is a wasteful number, since it uses less digits than its factorization.

114541311344119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303908165.

The product of its digits is 103680, while the sum is 43.

The spelling of 114541311344119 in words is "one hundred fourteen trillion, five hundred forty-one billion, three hundred eleven million, three hundred forty-four thousand, one hundred nineteen".

Divisors: 1 11 34267 376937 303873887 3342612757 10412846485829 114541311344119