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114121655741 = 1711359407421
BaseRepresentation
bin110101001001000101…
…1100100010110111101
3101220120100000210010102
41222102023210112331
53332210120440431
6124232103050445
711150020032332
oct1522213442675
9356510023112
10114121655741
1144442777075
121a14b140a25
13a9b93a5062
145748764989
152e7dd9ddcb
hex1a922e45bd

114121655741 has 8 divisors (see below), whose sum is σ = 121904029944. Its totient is φ = 106458096640.

The previous prime is 114121655729. The next prime is 114121655773. The reversal of 114121655741 is 147556121411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14662788100 + 99458867641 = 121090^2 + 315371^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114121655741 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114121655695 and 114121655704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114121555741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29701790 + ... + 29705631.

It is an arithmetic number, because the mean of its divisors is an integer number (15238003743).

Almost surely, 2114121655741 is an apocalyptic number.

It is an amenable number.

114121655741 is a deficient number, since it is larger than the sum of its proper divisors (7782374203).

114121655741 is a wasteful number, since it uses less digits than its factorization.

114121655741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59407551.

The product of its digits is 33600, while the sum is 38.

The spelling of 114121655741 in words is "one hundred fourteen billion, one hundred twenty-one million, six hundred fifty-five thousand, seven hundred forty-one".

Divisors: 1 17 113 1921 59407421 1009926157 6713038573 114121655741