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130440224013420 = 223523531783432103
BaseRepresentation
bin11101101010001001111011…
…001101110111110001101100
3122002211222000111011020220110
4131222021323031313301230
5114044113034321412140
61141231224530220020
736321665231113566
oct3552117315676154
9562758014136813
10130440224013420
113862042a982222
1212768233124610
1357a25ca4ba1a9
14242d4aa5a2336
1510130b2478380
hex76a27b377c6c

130440224013420 has 96 divisors (see below), whose sum is σ = 388303105139712. Its totient is φ = 32643941195008.

The previous prime is 130440224013391. The next prime is 130440224013433. The reversal of 130440224013420 is 24310422044031.

130440224013420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1304402240134202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 891642912 + ... + 891789191.

It is an arithmetic number, because the mean of its divisors is an integer number (4044824011872).

Almost surely, 2130440224013420 is an apocalyptic number.

130440224013420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130440224013420 is an abundant number, since it is smaller than the sum of its proper divisors (257862881126292).

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

130440224013420 is a wasteful number, since it uses less digits than its factorization.

130440224013420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783432191 (or 1783432189 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 130440224013420 its reverse (24310422044031), we get a palindrome (154750646057451).

The spelling of 130440224013420 in words is "one hundred thirty trillion, four hundred forty billion, two hundred twenty-four million, thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 53 60 69 92 106 115 138 159 212 230 265 276 318 345 460 530 636 690 795 1060 1219 1380 1590 2438 3180 3657 4876 6095 7314 12190 14628 18285 24380 36570 73140 1783432103 3566864206 5350296309 7133728412 8917160515 10700592618 17834321030 21401185236 26751481545 35668642060 41018938369 53502963090 82037876738 94521901459 107005926180 123056815107 164075753476 189043802918 205094691845 246113630214 283565704377 378087605836 410189383690 472609507295 492227260428 567131408754 615284075535 820378767380 945219014590 1134262817508 1230568151070 1417828521885 1890438029180 2174003733557 2461136302140 2835657043770 4348007467114 5671314087540 6522011200671 8696014934228 10870018667785 13044022401342 21740037335570 26088044802684 32610056003355 43480074671140 65220112006710 130440224013420