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114683341024512 = 283413538027053
BaseRepresentation
bin11010000100110111001011…
…110011011010110100000000
3120001001121202012221020120000
4122010313023303122310000
5110012432440300241022
61043524444411320000
733104412046430601
oct3204671363326400
9501047665836500
10114683341024512
11335a5a28246617
1210a42496a50000
134bcb7920a6480
1420469bbcb7da8
15d3d29beb26ac
hex684dcbcdad00

114683341024512 has 360 divisors, whose sum is σ = 375218506560744. Its totient is φ = 34621381656576.

The previous prime is 114683341024457. The next prime is 114683341024517. The reversal of 114683341024512 is 215420143386411.

It is a happy number.

114683341024512 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 83 + 34 + 1 + 0 + 24 + 512 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6999664896 + 114676341359616 = 83664^2 + 10708704^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114683341024517) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10273578 + ... + 18300630.

Almost surely, 2114683341024512 is an apocalyptic number.

114683341024512 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 114683341024512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187609253280372).

114683341024512 is an abundant number, since it is smaller than the sum of its proper divisors (260535165536232).

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

114683341024512 is an equidigital number, since it uses as much as digits as its factorization.

114683341024512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8027147 (or 8027124 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 114683341024512 in words is "one hundred fourteen trillion, six hundred eighty-three billion, three hundred forty-one million, twenty-four thousand, five hundred twelve".