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10440400334343 = 3771181170922637
BaseRepresentation
bin1001011111101101100001…
…0110100110111000000111
31100222002111110011020210120
42113323120112212320013
52332023414441144333
634112130444353023
72125202565412530
oct227733026467007
940862443136716
1010440400334343
113365826898591
121207504b45773
135a96aa776935
14281464b0d687
151318a3550db3
hex97ed85a6e07

10440400334343 has 64 divisors (see below), whose sum is σ = 16232597821440. Its totient is φ = 5845737945600.

The previous prime is 10440400334327. The next prime is 10440400334347. The reversal of 10440400334343 is 34343300404401.

It is not a de Polignac number, because 10440400334343 - 24 = 10440400334327 is a prime.

It is a super-3 number, since 3×104404003343433 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10440400334347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 461198221 + ... + 461220857.

It is an arithmetic number, because the mean of its divisors is an integer number (253634340960).

Almost surely, 210440400334343 is an apocalyptic number.

10440400334343 is a deficient number, since it is larger than the sum of its proper divisors (5792197487097).

10440400334343 is a wasteful number, since it uses less digits than its factorization.

10440400334343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24608.

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 10440400334343 its reverse (34343300404401), we get a palindrome (44783700738744).

The spelling of 10440400334343 in words is "ten trillion, four hundred forty billion, four hundred million, three hundred thirty-four thousand, three hundred forty-three".

Divisors: 1 3 7 21 71 181 213 497 543 1267 1491 1709 3801 5127 11963 12851 22637 35889 38553 67911 89957 121339 158459 269871 309329 364017 475377 849373 927987 1607227 2165303 2548119 4097297 4821681 6495909 11250589 12291891 21962359 28681079 33751767 38686633 65887077 86043237 116059899 153736513 270806431 290908087 461209539 812419293 872724261 2036356609 2746750943 6109069827 7002280573 8240252829 19227256601 21006841719 49015964011 57681769803 147047892033 497161920683 1491485762049 3480133444781 10440400334343