Search a number
-
+
130442022344430 = 23252934946606839
BaseRepresentation
bin11101101010001011100110…
…011001111101011011101110
3122002212010122211000221021200
4131222023212121331123232
5114044130230210010210
61141232123210510330
736322060625510256
oct3552134631753356
9562763584027250
10130442022344430
1138621172aa69a5
12127686554353a6
1357a2825c44694
14242d5db362966
15101316a2a20c0
hex76a2e667d6ee

130442022344430 has 48 divisors (see below), whose sum is σ = 340306764164640. Its totient is φ = 34665820720704.

The previous prime is 130442022344371. The next prime is 130442022344467. The reversal of 130442022344430 is 34443220244031.

130442022344430 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 4 + 202 + 2 + 3 + 4 + 443 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2473277050 + ... + 2473329789.

It is an arithmetic number, because the mean of its divisors is an integer number (7089724253430).

Almost surely, 2130442022344430 is an apocalyptic number.

130442022344430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130442022344430 is an abundant number, since it is smaller than the sum of its proper divisors (209864741820210).

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

130442022344430 is a wasteful number, since it uses less digits than its factorization.

130442022344430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4946607145 (or 4946607142 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 130442022344430 its reverse (34443220244031), we get a palindrome (164885242588461).

The spelling of 130442022344430 in words is "one hundred thirty trillion, four hundred forty-two billion, twenty-two million, three hundred forty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 293 586 879 1465 1758 2637 2930 4395 5274 8790 13185 26370 4946606839 9893213678 14839820517 24733034195 29679641034 44519461551 49466068390 74199102585 89038923102 148398205170 222597307755 445194615510 1449355803827 2898711607654 4348067411481 7246779019135 8696134822962 13044202234443 14493558038270 21740337057405 26088404468886 43480674114810 65221011172215 130442022344430