Search a number
-
+
14153042430 = 23251912836451
BaseRepresentation
bin11010010111001011…
…00100100111111110
31100112100110001022200
431023211210213332
5212441134324210
610300220452330
71010503606242
oct151345444776
940470401280
1014153042430
11600302928a
1228ab9aa0a6
131447234827
14983954422
1557c7b40c0
hex34b9649fe

14153042430 has 96 divisors (see below), whose sum is σ = 38770842240. Its totient is φ = 3572164800.

The previous prime is 14153042369. The next prime is 14153042471. The reversal of 14153042430 is 3424035141.

It is a happy number.

14153042430 is a `hidden beast` number, since 1 + 415 + 3 + 0 + 4 + 243 + 0 = 666.

It is a super-2 number, since 2×141530424302 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14153042394 and 14153042403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2190705 + ... + 2197155.

It is an arithmetic number, because the mean of its divisors is an integer number (403862940).

Almost surely, 214153042430 is an apocalyptic number.

14153042430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14153042430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19385421120).

14153042430 is an abundant number, since it is smaller than the sum of its proper divisors (24617799810).

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

14153042430 is a wasteful number, since it uses less digits than its factorization.

14153042430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7766 (or 7763 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 14153042430 its reverse (3424035141), we get a palindrome (17577077571).

The spelling of 14153042430 in words is "fourteen billion, one hundred fifty-three million, forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1283 1710 2566 3849 6415 6451 7698 11547 12830 12902 19245 19353 23094 24377 32255 38490 38706 48754 57735 58059 64510 73131 96765 115470 116118 121885 122569 146262 193530 219393 243770 245138 290295 365655 367707 438786 580590 612845 731310 735414 1096965 1103121 1225690 1838535 2193930 2206242 3677070 5515605 8276633 11031210 16553266 24829899 41383165 49659798 74489697 82766330 124149495 148979394 157256027 248298990 314512054 372448485 471768081 744896970 786280135 943536162 1415304243 1572560270 2358840405 2830608486 4717680810 7076521215 14153042430