Search a number
-
+
130413331412144 = 24112993712475139
BaseRepresentation
bin11101101001110000111000…
…010010101111010010110000
3122002202101121021222120012222
4131221300320102233102300
5114043143000320142034
61141211020220340212
736320023632556334
oct3551607022572260
9562671537876188
10130413331412144
113860aa8a793910
1212762b889a4668
13579cc02b40981
14242c078b197c4
15101253b55a12e
hex769c384af4b0

130413331412144 has 40 divisors (see below), whose sum is σ = 275647391693760. Its totient is φ = 59278565044800.

The previous prime is 130413331412113. The next prime is 130413331412173. The reversal of 130413331412144 is 441214133314031.

It is a happy 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 7 ways as a sum of consecutive naturals, for example, 51451727 + ... + 53926865.

It is an arithmetic number, because the mean of its divisors is an integer number (6891184792344).

Almost surely, 2130413331412144 is an apocalyptic number.

It is an amenable number.

130413331412144 is an abundant number, since it is smaller than the sum of its proper divisors (145234060281616).

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

130413331412144 is a wasteful number, since it uses less digits than its factorization.

130413331412144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774529 (or 2774523 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

Adding to 130413331412144 its reverse (441214133314031), we get a palindrome (571627464726175).

The spelling of 130413331412144 in words is "one hundred thirty trillion, four hundred thirteen billion, three hundred thirty-one million, four hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 299371 598742 1197484 2394968 2475139 3293081 4789936 4950278 6586162 9900556 13172324 19801112 26344648 27226529 39602224 52689296 54453058 108906116 217812232 435624464 740984837569 1481969675138 2963939350276 5927878700552 8150833213259 11855757401104 16301666426518 32603332853036 65206665706072 130413331412144