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344314706561044 = 2210317314813261799
BaseRepresentation
bin100111001001001110000001…
…1110001101000100000010100
31200011010011102220111000221221
41032102130003301220200110
5330112223004334423134
63220143554220220124
7132344626256266552
oct11622340361504024
91604104386430857
10344314706561044
119a78905765143a
123274a5b669a644
1311a1797840131b
146104cc6630bd2
1529c1637d945b4
hex1392703c68814

344314706561044 has 48 divisors (see below), whose sum is σ = 612330877267200. Its totient is φ = 169385952971520.

The previous prime is 344314706561041. The next prime is 344314706561053. The reversal of 344314706561044 is 440165607413443.

It is a super-2 number, since 2×3443147065610442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344314706560982 and 344314706561000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344314706561041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103928857 + ... + 107190655.

It is an arithmetic number, because the mean of its divisors is an integer number (12756893276400).

Almost surely, 2344314706561044 is an apocalyptic number.

It is an amenable number.

344314706561044 is a deficient number, since it is larger than the sum of its proper divisors (268016170706156).

344314706561044 is a wasteful number, since it uses less digits than its factorization.

344314706561044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263560 (or 3263558 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 52.

The spelling of 344314706561044 in words is "three hundred forty-four trillion, three hundred fourteen billion, seven hundred six million, five hundred sixty-one thousand, forty-four".

Divisors: 1 2 4 103 173 206 346 412 692 1481 2962 5924 17819 35638 71276 152543 256213 305086 512426 610172 1024852 3261799 6523598 13047196 26389939 52779878 105559756 335965297 564291227 671930594 1128582454 1343861188 2257164908 4830724319 9661448638 19322897276 58121996381 116243992762 232487985524 497564604857 835715307187 995129209714 1671430614374 1990258419428 3342861228748 86078676640261 172157353280522 344314706561044