Search a number
-
+
1014134240304 = 2432171093800647
BaseRepresentation
bin11101100000111110001…
…11000111010000110000
310120221122202111020010200
432300133013013100300
5113103421331142204
62053515320155200
7133161122545503
oct16603707072060
93527582436120
101014134240304
11361101381929
12144667608b00
137482b649243
14371276a513a
151b5a7564539
hexec1f1c7430

1014134240304 has 120 divisors (see below), whose sum is σ = 3032689065120. Its totient is φ = 315240781824.

The previous prime is 1014134240299. The next prime is 1014134240359. The reversal of 1014134240304 is 4030424314101.

1014134240304 is a `hidden beast` number, since 1 + 0 + 1 + 413 + 4 + 240 + 3 + 0 + 4 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1633492 + ... + 2167155.

It is an arithmetic number, because the mean of its divisors is an integer number (25272408876).

Almost surely, 21014134240304 is an apocalyptic number.

It is an amenable number.

1014134240304 is an abundant number, since it is smaller than the sum of its proper divisors (2018554824816).

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

1014134240304 is a wasteful number, since it uses less digits than its factorization.

1014134240304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800787 (or 3800778 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1014134240304 its reverse (4030424314101), we get a palindrome (5044558554405).

The spelling of 1014134240304 in words is "one trillion, fourteen billion, one hundred thirty-four million, two hundred forty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 109 136 144 153 204 218 272 306 327 408 436 612 654 816 872 981 1224 1308 1744 1853 1962 2448 2616 3706 3924 5232 5559 7412 7848 11118 14824 15696 16677 22236 29648 33354 44472 66708 88944 133416 266832 3800647 7601294 11401941 15202588 22803882 30405176 34205823 45607764 60810352 64610999 68411646 91215528 129221998 136823292 182431056 193832997 258443996 273646584 387665994 414270523 516887992 547293168 581498991 775331988 828541046 1033775984 1162997982 1242811569 1550663976 1657082092 2325995964 2485623138 3101327952 3314164184 3728434707 4651991928 4971246276 6628328368 7042598891 7456869414 9303983856 9942492552 14085197782 14913738828 19884985104 21127796673 28170395564 29827477656 42255593346 56340791128 59654955312 63383390019 84511186692 112681582256 126766780038 169022373384 253533560076 338044746768 507067120152 1014134240304