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114021200281041 = 32472757312
BaseRepresentation
bin11001111011001110100001…
…001000111011110111010001
3112221201022122111022100100100
4121323032201020323313101
5104421110404232443131
61042300341041243013
733005521431115344
oct3173164110736721
9487638574270310
10114021200281041
1133370135039789
12109560a5333469
134b811cb336b91
142022926b2a45b
15d2ae469cc7e6
hex67b3a123bdd1

114021200281041 has 27 divisors (see below), whose sum is σ = 168278266388713. Its totient is φ = 74395829148360.

The previous prime is 114021200281039. The next prime is 114021200281061. The reversal of 114021200281041 is 140182002120411.

The square root of 114021200281041 is 10678071.

It is a perfect power (a square), and thus also a powerful number.

114021200281041 is a `hidden beast` number, since 1 + 1 + 402 + 1 + 200 + 2 + 8 + 10 + 41 = 666.

It is not a de Polignac number, because 114021200281041 - 21 = 114021200281039 is a prime.

It is a super-2 number, since 2×1140212002810412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114021200280996 and 114021200281014.

It is not an unprimeable number, because it can be changed into a prime (114021200281061) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1505570146 + ... + 1505645876.

Almost surely, 2114021200281041 is an apocalyptic number.

114021200281041 is the 10678071-st square number.

114021200281041 is the 5339036-th centered octagonal number.

It is an amenable number.

114021200281041 is a deficient number, since it is larger than the sum of its proper divisors (54257066107672).

114021200281041 is an frugal number, since it uses more digits than its factorization.

114021200281041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151562 (or 75781 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 114021200281041 in words is "one hundred fourteen trillion, twenty-one billion, two hundred million, two hundred eighty-one thousand, forty-one".

Divisors: 1 3 9 47 141 423 2209 6627 19881 75731 227193 681579 3559357 10678071 32034213 167289779 501869337 1505608011 5735184361 17205553083 51616659249 269553664967 808660994901 2425982984703 12669022253449 38007066760347 114021200281041