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10344425334340 = 22516972693113177
BaseRepresentation
bin1001011010000111111111…
…0011000010011001000100
31100121220202210021002112211
42112201333303002121010
52323440340341144330
634000055143153204
72115234334363066
oct226417763023104
940556683232484
1010344425334340
113329056471569
1211b099b145804
135a0623accac6
1427a95c46d736
1512e137878d2a
hex9687fcc2644

10344425334340 has 48 divisors (see below), whose sum is σ = 21744357656112. Its totient is φ = 4133759737856.

The previous prime is 10344425334337. The next prime is 10344425334377. The reversal of 10344425334340 is 4343352444301.

It can be written as a sum of positive squares in 8 ways, for example, as 251337784896 + 10093087549444 = 501336^2 + 3176962^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10344425334293 and 10344425334302.

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, 91343832 + ... + 91457008.

It is an arithmetic number, because the mean of its divisors is an integer number (453007451169).

Almost surely, 210344425334340 is an apocalyptic number.

10344425334340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10344425334340 is an abundant number, since it is smaller than the sum of its proper divisors (11399932321772).

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

10344425334340 is a wasteful number, since it uses less digits than its factorization.

10344425334340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117576 (or 117574 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 40.

Adding to 10344425334340 its reverse (4343352444301), we get a palindrome (14687777778641).

The spelling of 10344425334340 in words is "ten trillion, three hundred forty-four billion, four hundred twenty-five million, three hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 1697 2693 3394 5386 6788 8485 10772 13465 16970 26930 33940 53860 113177 226354 452708 565885 1131770 2263540 4570021 9140042 18280084 22850105 45700210 91400420 192061369 304785661 384122738 609571322 768245476 960306845 1219142644 1523928305 1920613690 3047856610 3841227380 6095713220 517221266717 1034442533434 2068885066868 2586106333585 5172212667170 10344425334340