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10344003230142 = 2342571361318251
BaseRepresentation
bin1001011010000110011010…
…1000110101100110111110
31100121212200100222222110000
42112201212220311212332
52323434004311331032
633555545224055130
72115221020506441
oct226414650654676
940555610888400
1010344003230142
11332895a17941a
1211b08a19044a6
135a058751c3ca
1427a91c393658
1512e11079ae7c
hex96866a359be

10344003230142 has 80 divisors (see below), whose sum is σ = 23271401408112. Its totient is φ = 3434144256000.

The previous prime is 10344003230059. The next prime is 10344003230159. The reversal of 10344003230142 is 24103230044301.

10344003230142 is a `hidden beast` number, since 10 + 3 + 4 + 400 + 3 + 230 + 14 + 2 = 666.

It is a super-3 number, since 3×103440032301423 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 566754517 + ... + 566772767.

Almost surely, 210344003230142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10344003230142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11635700704056).

10344003230142 is an abundant number, since it is smaller than the sum of its proper divisors (12927398177970).

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

10344003230142 is a wasteful number, since it uses less digits than its factorization.

10344003230142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32135 (or 32126 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10344003230142 its reverse (24103230044301), we get a palindrome (34447233274443).

The spelling of 10344003230142 in words is "ten trillion, three hundred forty-four billion, three million, two hundred thirty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 257 514 771 1542 2313 4626 6939 13613 13878 18251 20817 27226 36502 40839 41634 54753 81678 109506 122517 164259 245034 328518 367551 492777 735102 985554 1102653 1478331 2205306 2956662 3498541 4690507 6997082 9381014 10495623 14071521 20991246 28143042 31486869 42214563 62973738 84429126 94460607 126643689 188921214 248450863 253287378 283381821 379931067 496901726 566763642 745352589 759862134 1490705178 2236057767 4472115534 6708173301 13416346602 20124519903 40249039806 63851871791 127703743582 191555615373 383111230746 574666846119 1149333692238 1724000538357 3448001076714 5172001615071 10344003230142