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10344435453 = 3311671015147
BaseRepresentation
bin10011010001001001…
…11000111011111101
3222200220212202202000
421220210320323331
5132141133413303
64430245052513
7514226151642
oct115044707375
928626782660
1010344435453
114429189510
1220083b7139
13c8b175931
14701bc1dc9
15408247da3
hex268938efd

10344435453 has 64 divisors (see below), whose sum is σ = 17139133440. Its totient is φ = 6113448000.

The previous prime is 10344435443. The next prime is 10344435457. The reversal of 10344435453 is 35453444301.

10344435453 is a `hidden beast` number, since 103 + 4 + 4 + 4 + 3 + 545 + 3 = 666.

It is not a de Polignac number, because 10344435453 - 25 = 10344435421 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344435457) 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 63 ways as a sum of consecutive naturals, for example, 2007226 + ... + 2012372.

It is an arithmetic number, because the mean of its divisors is an integer number (267798960).

Almost surely, 210344435453 is an apocalyptic number.

It is an amenable number.

10344435453 is a deficient number, since it is larger than the sum of its proper divisors (6794697987).

10344435453 is a wasteful number, since it uses less digits than its factorization.

10344435453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5335 (or 5329 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 10344435453 its reverse (35453444301), we get a palindrome (45797879754).

It can be divided in two parts, 103 and 44435453, that added together give a square (44435556 = 66662).

The spelling of 10344435453 in words is "ten billion, three hundred forty-four million, four hundred thirty-five thousand, four hundred fifty-three".

Divisors: 1 3 9 11 27 33 67 99 101 201 297 303 603 737 909 1111 1809 2211 2727 3333 5147 6633 6767 9999 15441 19899 20301 29997 46323 56617 60903 74437 138969 169851 182709 223311 344849 509553 519847 669933 1034547 1528659 1559541 2009799 3103641 3793339 4678623 5718317 9310923 11380017 14035869 17154951 34140051 34829749 51464853 102420153 104489247 154394559 313467741 383127239 940403223 1149381717 3448145151 10344435453