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130440244012344 = 23327833118192867
BaseRepresentation
bin11101101010001001111100…
…011010001010010100111000
3122002211222001212210022021100
4131222021330122022110320
5114044113104431343334
61141231230523011400
736321665563106520
oct3552117432122470
9562758055708240
10130440244012344
11386204401a1762
1212768239969b60
1357a260169cc86
14242d4ad0ca680
1510130b40c8c99
hex76a27c68a538

130440244012344 has 96 divisors (see below), whose sum is σ = 408607993422720. Its totient is φ = 36819621361728.

The previous prime is 130440244012313. The next prime is 130440244012367. The reversal of 130440244012344 is 443210442044031.

130440244012344 is a `hidden beast` number, since 1 + 30 + 4 + 40 + 244 + 0 + 1 + 2 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 130440244012299 and 130440244012308.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 1559054602 + ... + 1559138265.

It is an arithmetic number, because the mean of its divisors is an integer number (4256333264820).

Almost surely, 2130440244012344 is an apocalyptic number.

130440244012344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130440244012344 is an abundant number, since it is smaller than the sum of its proper divisors (278167749410376).

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

130440244012344 is a wasteful number, since it uses less digits than its factorization.

130440244012344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3118192969 (or 3118192962 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 130440244012344 its reverse (443210442044031), we get a palindrome (573650686056375).

The spelling of 130440244012344 in words is "one hundred thirty trillion, four hundred forty billion, two hundred forty-four million, twelve thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 83 84 126 166 168 249 252 332 498 504 581 664 747 996 1162 1494 1743 1992 2324 2988 3486 4648 5229 5976 6972 10458 13944 20916 41832 3118192867 6236385734 9354578601 12472771468 18709157202 21827350069 24945542936 28063735803 37418314404 43654700138 56127471606 65482050207 74836628808 87309400276 112254943212 130964100414 174618800552 196446150621 224509886424 258810007961 261928200828 392892301242 517620015922 523856401656 776430023883 785784602484 1035240031844 1552860047766 1571569204968 1811670055727 2070480063688 2329290071649 3105720095532 3623340111454 4658580143298 5435010167181 6211440191064 7246680222908 9317160286596 10870020334362 14493360445816 16305030501543 18634320573192 21740040668724 32610061003086 43480081337448 65220122006172 130440244012344