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14003242254 = 234415339779
BaseRepresentation
bin11010000101010100…
…01000010100001110
31100010220120102010000
431002222020110032
5212134312223004
610233310025130
71004004411111
oct150252102416
940126512100
1014003242254
115a36513191
1228697a81a6
1314221a5881
1496babc578
1556e573c39
hex342a8850e

14003242254 has 80 divisors (see below), whose sum is σ = 32750237520. Its totient is φ = 4467864960.

The previous prime is 14003242243. The next prime is 14003242277. The reversal of 14003242254 is 45224230041.

14003242254 is a `hidden beast` number, since 1 + 400 + 3 + 2 + 4 + 2 + 254 = 666.

It is a super-2 number, since 2×140032422542 (a number of 21 digits) contains 22 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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 332137 + ... + 371915.

It is an arithmetic number, because the mean of its divisors is an integer number (409377969).

Almost surely, 214003242254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14003242254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16375118760).

14003242254 is an abundant number, since it is smaller than the sum of its proper divisors (18746995266).

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

14003242254 is a wasteful number, since it uses less digits than its factorization.

14003242254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39887 (or 39878 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 14003242254 its reverse (45224230041), we get a palindrome (59227472295).

The spelling of 14003242254 in words is "fourteen billion, three million, two hundred forty-two thousand, two hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 41 53 54 81 82 106 123 159 162 246 318 369 477 738 954 1107 1431 2173 2214 2862 3321 4293 4346 6519 6642 8586 13038 19557 39114 39779 58671 79558 117342 119337 176013 238674 352026 358011 716022 1074033 1630939 2108287 2148066 3222099 3261878 4216574 4892817 6324861 6444198 9785634 12649722 14678451 18974583 29356902 37949166 44035353 56923749 86439767 88070706 113847498 132106059 170771247 172879534 259319301 264212118 341542494 518638602 777957903 1555915806 2333873709 4667747418 7001621127 14003242254