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114213545773461 = 346123115471721
BaseRepresentation
bin11001111110000001101001…
…110100110000100110010101
3112222101201010101021202110000
4121332001221310300212111
5104432233320204222321
61042524551212521513
733025441064613621
oct3176015164604625
9488351111252400
10114213545773461
1133434769059062
1210987425480299
134b963a287b514
14202bd7239a181
15d30e52e4e826
hex67e069d30995

114213545773461 has 20 divisors (see below), whose sum is σ = 173412268858444. Its totient is φ = 74894128372800.

The previous prime is 114213545773447. The next prime is 114213545773463. The reversal of 114213545773461 is 164377545312411.

114213545773461 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 1 + 3 + 5 + 4 + 577 + 3 + 4 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28449091745361 + 85764454028100 = 5333769^2 + 9260910^2 .

It is a de Polignac number, because none of the positive numbers 2k-114213545773461 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114213545773398 and 114213545773407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114213545773463) 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 19 ways as a sum of consecutive naturals, for example, 11557730920 + ... + 11557740801.

Almost surely, 2114213545773461 is an apocalyptic number.

It is an amenable number.

114213545773461 is a deficient number, since it is larger than the sum of its proper divisors (59198723084983).

114213545773461 is an equidigital number, since it uses as much as digits as its factorization.

114213545773461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23115471794 (or 23115471785 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 114213545773461 in words is "one hundred fourteen trillion, two hundred thirteen billion, five hundred forty-five million, seven hundred seventy-three thousand, four hundred sixty-one".

Divisors: 1 3 9 27 61 81 183 549 1647 4941 23115471721 69346415163 208039245489 624117736467 1410043774981 1872353209401 4230131324943 12690393974829 38071181924487 114213545773461