Search a number
-
+
130320142404 = 223232118117383
BaseRepresentation
bin111100101011110101…
…1111001000001000100
3110110101020100011102220
41321113223321001010
54113343424024104
6135511312532340
712262311635064
oct1712753710104
9413336304386
10130320142404
11502a5360931
122130bb510b0
13c39b3057ca
146443c033a4
1535cb0007d9
hex1e57af9044

130320142404 has 72 divisors (see below), whose sum is σ = 318163497792. Its totient is φ = 41513778240.

The previous prime is 130320142387. The next prime is 130320142409. The reversal of 130320142404 is 404241023031.

It is not an unprimeable number, because it can be changed into a prime (130320142409) by changing a digit.

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, 7488297 + ... + 7505679.

Almost surely, 2130320142404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130320142404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159081748896).

130320142404 is an abundant number, since it is smaller than the sum of its proper divisors (187843355388).

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

130320142404 is a wasteful number, since it uses less digits than its factorization.

130320142404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18617 (or 18592 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 130320142404 its reverse (404241023031), we get a palindrome (534561165435).

The spelling of 130320142404 in words is "one hundred thirty billion, three hundred twenty million, one hundred forty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 529 1058 1181 1587 2116 2362 3174 3543 4724 6348 7086 14172 17383 27163 34766 52149 54326 69532 81489 104298 108652 162978 208596 325956 399809 624749 799618 1199427 1249498 1599236 1874247 2398854 2498996 3748494 4797708 7496988 9195607 18391214 20529323 27586821 36782428 41058646 55173642 61587969 82117292 110347284 123175938 246351876 472174429 944348858 1416523287 1888697716 2833046574 5666093148 10860011867 21720023734 32580035601 43440047468 65160071202 130320142404