Search a number
-
+
114103410304 = 2713174033633
BaseRepresentation
bin110101001000100010…
…1111101111010000000
3101220112001200211002111
41222101011331322000
53332140433112204
6124230212025104
711146405661542
oct1522105757200
9356461624074
10114103410304
1144433444aa4
121a145002194
13a9b5687440
145746175692
152e7c497d04
hex1a9117de80

114103410304 has 64 divisors (see below), whose sum is σ = 259201320840. Its totient is φ = 49565270016.

The previous prime is 114103410299. The next prime is 114103410341. The reversal of 114103410304 is 403014301411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 92976206400 + 21127203904 = 304920^2 + 145352^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1988529 + ... + 2045104.

Almost surely, 2114103410304 is an apocalyptic number.

It is an amenable number.

114103410304 is an abundant number, since it is smaller than the sum of its proper divisors (145097910536).

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

114103410304 is a wasteful number, since it uses less digits than its factorization.

114103410304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4033677 (or 4033665 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 114103410304 its reverse (403014301411), we get a palindrome (517117711715).

The spelling of 114103410304 in words is "one hundred fourteen billion, one hundred three million, four hundred ten thousand, three hundred four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 272 416 442 544 832 884 1088 1664 1768 2176 3536 7072 14144 28288 4033633 8067266 16134532 32269064 52437229 64538128 68571761 104874458 129076256 137143522 209748916 258152512 274287044 419497832 516305024 548574088 838995664 891432893 1097148176 1677991328 1782865786 2194296352 3355982656 3565731572 4388592704 6711965312 7131463144 8777185408 14262926288 28525852576 57051705152 114103410304