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114504317743 = 6115733119311
BaseRepresentation
bin110101010100011111…
…1010011101100101111
3101221120000002000201011
41222220333103230233
53334001101131433
6124334052530051
711162344433104
oct1525077235457
9357500060634
10114504317743
114461977a762
121a237320927
13aa4a755a8a
1457834d4aab
152ea278a3cd
hex1aa8fd3b2f

114504317743 has 8 divisors (see below), whose sum is σ = 116389810496. Its totient is φ = 112619095200.

The previous prime is 114504317657. The next prime is 114504317789. The reversal of 114504317743 is 347713405411.

It is a happy number.

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 114504317743 - 29 = 114504317231 is a prime.

It is a super-3 number, since 3×1145043177433 (a number of 34 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 junction number, because it is equal to n+sod(n) for n = 114504317696 and 114504317705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114504317843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 900058 + ... + 1019368.

It is an arithmetic number, because the mean of its divisors is an integer number (14548726312).

Almost surely, 2114504317743 is an apocalyptic number.

114504317743 is a deficient number, since it is larger than the sum of its proper divisors (1885492753).

114504317743 is a wasteful number, since it uses less digits than its factorization.

114504317743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135105.

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 114504317743 in words is "one hundred fourteen billion, five hundred four million, three hundred seventeen thousand, seven hundred forty-three".

Divisors: 1 61 15733 119311 959713 7277971 1877119963 114504317743