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10403042430324 = 22317271863218047
BaseRepresentation
bin1001011101100010010110…
…1001100000110101110100
31100211112001220200002121210
42113120211221200311310
52330420412330232244
634043031451041420
72122411042440465
oct227304551406564
940745056602553
1010403042430324
1133509a6277345
121200219a40270
135a6005bb5b9b
1427d71d3c0d6c
151309189b24b9
hex97625a60d74

10403042430324 has 96 divisors (see below), whose sum is σ = 25826484289536. Its totient is φ = 3247873666560.

The previous prime is 10403042430301. The next prime is 10403042430359. The reversal of 10403042430324 is 42303424030401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10403042430291 and 10403042430300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47601069 + ... + 47819115.

It is an arithmetic number, because the mean of its divisors is an integer number (269025878016).

Almost surely, 210403042430324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10403042430324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12913242144768).

10403042430324 is an abundant number, since it is smaller than the sum of its proper divisors (15423441859212).

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

10403042430324 is a wasteful number, since it uses less digits than its factorization.

10403042430324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219205 (or 219203 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 10403042430324 its reverse (42303424030401), we get a palindrome (52706466460725).

The spelling of 10403042430324 in words is "ten trillion, four hundred three billion, forty-two million, four hundred thirty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 271 542 813 863 1084 1626 1726 2589 3252 3452 4607 5178 9214 10356 13821 14671 18428 27642 29342 44013 55284 58684 88026 176052 218047 233873 436094 467746 654141 701619 872188 935492 1308282 1403238 2616564 2806476 3706799 3975841 7413598 7951682 11120397 11927523 14827196 15903364 22240794 23855046 44481588 47710092 59090737 118181474 177272211 188174561 236362948 354544422 376349122 564523683 709088844 752698244 1004542529 1129047366 2009085058 2258094732 3013627587 3198967537 4018170116 6027255174 6397935074 9596902611 12054510348 12795870148 19193805222 38387610444 50995306031 101990612062 152985918093 203981224124 305971836186 611943672372 866920202527 1733840405054 2600760607581 3467680810108 5201521215162 10403042430324