Search a number
-
+
114473735365428 = 22326152128294793
BaseRepresentation
bin11010000001110011111110…
…010101010010001100110100
3120000022120201102220111222100
4122001303332111102030310
5110001014202223143203
61043244301422502100
733053311606633605
oct3201637625221464
9500276642814870
10114473735365428
113352504732059a
1210a0993a434930
134bb4a999a966a
14203a7b61a3dac
15d37ad05c6ea3
hex681cfe552334

114473735365428 has 36 divisors (see below), whose sum is σ = 294107839227748. Its totient is φ = 37532372250240.

The previous prime is 114473735365411. The next prime is 114473735365439. The reversal of 114473735365428 is 824563537374411.

It is a happy number.

114473735365428 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 7 + 3 + 73 + 536 + 5 + 4 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15295201384464 + 99178533980964 = 3910908^2 + 9958842^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 26064145201 + ... + 26064149592.

Almost surely, 2114473735365428 is an apocalyptic number.

114473735365428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114473735365428 is an abundant number, since it is smaller than the sum of its proper divisors (179634103862320).

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

114473735365428 is a wasteful number, since it uses less digits than its factorization.

114473735365428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52128294864 (or 52128294859 counting only the distinct ones).

The product of its digits is 203212800, while the sum is 63.

The spelling of 114473735365428 in words is "one hundred fourteen trillion, four hundred seventy-three billion, seven hundred thirty-five million, three hundred sixty-five thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 52128294793 104256589586 156384884379 208513179172 312769768758 469154653137 625539537516 938309306274 1876618612548 3179825982373 6359651964746 9539477947119 12719303929492 19078955894238 28618433841357 38157911788476 57236867682714 114473735365428