Search a number
-
+
14013035532 = 22331137871459
BaseRepresentation
bin11010000110011110…
…11111010000001100
31100011120222221222000
431003033133100030
5212144314114112
610234255552300
71004153556666
oct150317372014
940146887860
1014013035532
115a40aa2001
122870b2b690
131424224302
1496d10b536
1557035a7dc
hex3433df40c

14013035532 has 96 divisors (see below), whose sum is σ = 36723321600. Its totient is φ = 4620623616.

The previous prime is 14013035527. The next prime is 14013035537. The reversal of 14013035532 is 23553031041.

14013035532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14013035527) and next prime (14013035537).

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

It is a junction number, because it is equal to n+sod(n) for n = 14013035496 and 14013035505.

It is not an unprimeable number, because it can be changed into a prime (14013035537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9603819 + ... + 9605277.

It is an arithmetic number, because the mean of its divisors is an integer number (382534600).

Almost surely, 214013035532 is an apocalyptic number.

14013035532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14013035532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18361660800).

14013035532 is an abundant number, since it is smaller than the sum of its proper divisors (22710286068).

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

14013035532 is a wasteful number, since it uses less digits than its factorization.

14013035532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 14013035532 its reverse (23553031041), we get a palindrome (37566066573).

The spelling of 14013035532 in words is "fourteen billion, thirteen million, thirty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 226 339 452 678 787 1017 1356 1459 1574 2034 2361 2918 3051 3148 4068 4377 4722 5836 6102 7083 8754 9444 12204 13131 14166 17508 21249 26262 28332 39393 42498 52524 78786 84996 88931 157572 164867 177862 266793 329734 355724 494601 533586 659468 800379 989202 1067172 1148233 1483803 1600758 1978404 2296466 2401137 2967606 3201516 3444699 4451409 4592932 4802274 5935212 6889398 8902818 9604548 10334097 13778796 17805636 20668194 31002291 41336388 62004582 124009164 129750329 259500658 389250987 519001316 778501974 1167752961 1557003948 2335505922 3503258883 4671011844 7006517766 14013035532