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244200405103344 = 243319113263287711
BaseRepresentation
bin110111100001100101010110…
…011001100111001011110000
31012000122022221002210211122000
4313201211112121213023300
5224001434412201301334
62223212041204414000
7102302616454556664
oct6741452631471360
91160568832724560
10244200405103344
117089a8a0431338
122347b8116a7300
13a634ccb87b651
1444435112528a4
151d3732da5b299
hexde19566672f0

244200405103344 has 160 divisors (see below), whose sum is σ = 744367019366400. Its totient is φ = 76433475363840.

The previous prime is 244200405103331. The next prime is 244200405103367. The reversal of 244200405103344 is 443301504002442.

244200405103344 is a `hidden beast` number, since 2 + 4 + 4 + 200 + 4 + 0 + 5 + 103 + 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 = 244200405103299 and 244200405103308.

It is a congruent number.

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, 130716352 + ... + 132571359.

It is an arithmetic number, because the mean of its divisors is an integer number (4652293871040).

Almost surely, 2244200405103344 is an apocalyptic number.

244200405103344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

244200405103344 is an abundant number, since it is smaller than the sum of its proper divisors (500166614263056).

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

244200405103344 is a wasteful number, since it uses less digits than its factorization.

244200405103344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263287860 (or 263287848 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 244200405103344 its reverse (443301504002442), we get a palindrome (687501909105786).

The spelling of 244200405103344 in words is "two hundred forty-four trillion, two hundred billion, four hundred five million, one hundred three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 113 114 144 152 171 216 226 228 304 339 342 432 452 456 513 678 684 904 912 1017 1026 1356 1368 1808 2034 2052 2147 2712 2736 3051 4068 4104 4294 5424 6102 6441 8136 8208 8588 12204 12882 16272 17176 19323 24408 25764 34352 38646 48816 51528 57969 77292 103056 115938 154584 231876 309168 463752 927504 263287711 526575422 789863133 1053150844 1579726266 2106301688 2369589399 3159452532 4212603376 4739178798 5002466509 6318905064 7108768197 9478357596 10004933018 12637810128 14217536394 15007399527 18956715192 20009866036 28435072788 29751511343 30014799054 37913430384 40019732072 45022198581 56870145576 59503022686 60029598108 80039464144 89254534029 90044397162 113740291152 119006045372 120059196216 135066595743 178509068058 180088794324 238012090744 240118392432 267763602087 270133191486 357018136116 360177588648 476024181488 535527204174 540266382972 565278715517 714036272232 720355177296 803290806261 1071054408348 1080532765944 1130557431034 1428072544464 1606581612522 1695836146551 2142108816696 2161065531888 2261114862068 3213163225044 3391672293102 4284217633392 4522229724136 5087508439653 6426326450088 6783344586204 9044459448272 10175016879306 12852652900176 13566689172408 15262525318959 20350033758612 27133378344816 30525050637918 40700067517224 61050101275836 81400135034448 122100202551672 244200405103344