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10342002401344 = 261714813641701
BaseRepresentation
bin1001011001111110111101…
…1000010010000001000000
31100121200111221002100022201
42112133233120102001000
52323420410103320334
633555014511242544
72115120313653355
oct226375730220100
940550457070281
1010342002401344
1133280228160a9
1211b0423819454
135a0328b44a43
1427a7ac76062c
1512e044cc2c14
hex967ef612040

10342002401344 has 56 divisors (see below), whose sum is σ = 21731112456408. Its totient is φ = 4866488524800.

The previous prime is 10342002401267. The next prime is 10342002401417. The reversal of 10342002401344 is 44310420024301.

It can be written as a sum of positive squares in 4 ways, for example, as 5493585945600 + 4848416455744 = 2343840^2 + 2201912^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15795694 + ... + 16437394.

Almost surely, 210342002401344 is an apocalyptic number.

It is an amenable number.

10342002401344 is an abundant number, since it is smaller than the sum of its proper divisors (11389110055064).

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

10342002401344 is a wasteful number, since it uses less digits than its factorization.

10342002401344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656543 (or 656533 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 10342002401344 its reverse (44310420024301), we get a palindrome (54652422425645).

The spelling of 10342002401344 in words is "ten trillion, three hundred forty-two billion, two million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 14813 29626 59252 118504 237008 251821 474016 503642 641701 948032 1007284 1283402 2014568 2566804 4029136 5133608 8058272 10267216 10908917 16116544 20534432 21817834 41068864 43635668 87271336 174542672 349085344 698170688 9505516913 19011033826 38022067652 76044135304 152088270608 161593787521 304176541216 323187575042 608353082432 646375150084 1292750300168 2585500600336 5171001200672 10342002401344