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240044023413144 = 23331800236173183
BaseRepresentation
bin110110100101000110011010…
…101111101111100110011000
31011110220222120201101011122000
4312211012122233233212120
5222430340124443210034
62210310411344201000
7101363415450251526
oct6645063257574630
91143828521334560
10240044023413144
116a53810a311295
1222b0a181909160
13a3c3092337422
14433c29ab97316
151cb4168ae0599
hexda519abef998

240044023413144 has 64 divisors (see below), whose sum is σ = 666792765849600. Its totient is φ = 80014217040288.

The previous prime is 240044023413133. The next prime is 240044023413179. The reversal of 240044023413144 is 441314320440042.

240044023413144 is a `hidden beast` number, since 2 + 40 + 0 + 4 + 40 + 23 + 413 + 144 = 666.

It is a super-2 number, since 2×2400440234131442 (a number of 30 digits) contains 22 as substring.

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 = 240044023413099 and 240044023413108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35798377 + ... + 41971559.

It is an arithmetic number, because the mean of its divisors is an integer number (10418636966400).

Almost surely, 2240044023413144 is an apocalyptic number.

240044023413144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

240044023413144 is an abundant number, since it is smaller than the sum of its proper divisors (426748742436456).

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

240044023413144 is a wasteful number, since it uses less digits than its factorization.

240044023413144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6353221 (or 6353211 counting only the distinct ones).

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

Adding to 240044023413144 its reverse (441314320440042), we get a palindrome (681358343853186).

The spelling of 240044023413144 in words is "two hundred forty trillion, forty-four billion, twenty-three million, four hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 180023 360046 540069 720092 1080138 1440184 1620207 2160276 3240414 4320552 4860621 6173183 6480828 9721242 12346366 12961656 18519549 19442484 24692732 37039098 38884968 49385464 55558647 74078196 111117294 148156392 166675941 222234588 333351882 444469176 666703764 1333407528 1111314923209 2222629846418 3333944769627 4445259692836 6667889539254 8890519385672 10001834308881 13335779078508 20003668617762 26671558157016 30005502926643 40007337235524 60011005853286 80014674471048 120022011706572 240044023413144