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14332402152 = 23328310922003
BaseRepresentation
bin11010101100100011…
…10001100111101000
31100222211221110121100
431112101301213220
5213323043332102
610330105041400
71015112260005
oct152621614750
940884843540
1014332402152
1160952a3962
12293ba86260
131475443143
1499d6c28ac
1558d3e2a1c
hex3564719e8

14332402152 has 96 divisors (see below), whose sum is σ = 39646807200. Its totient is φ = 4676393088.

The previous prime is 14332402141. The next prime is 14332402159. The reversal of 14332402152 is 25120423341.

14332402152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×143324021522 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14332402159) 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 23 ways as a sum of consecutive naturals, for example, 640383 + ... + 662385.

It is an arithmetic number, because the mean of its divisors is an integer number (412987575).

Almost surely, 214332402152 is an apocalyptic number.

14332402152 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 14332402152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19823403600).

14332402152 is an abundant number, since it is smaller than the sum of its proper divisors (25314405048).

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

14332402152 is a wasteful number, since it uses less digits than its factorization.

14332402152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22207 (or 22200 counting only the distinct ones).

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

Adding to 14332402152 its reverse (25120423341), we get a palindrome (39452825493).

The spelling of 14332402152 in words is "fourteen billion, three hundred thirty-two million, four hundred two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 109 166 218 249 327 332 436 498 654 664 747 872 981 996 1308 1494 1962 1992 2616 2988 3924 5976 7848 9047 18094 22003 27141 36188 44006 54282 66009 72376 81423 88012 108564 132018 162846 176024 198027 217128 264036 325692 396054 528072 651384 792108 1584216 1826249 2398327 3652498 4796654 5478747 7194981 7304996 9593308 10957494 14389962 14609992 16436241 19186616 21584943 21914988 28779924 32872482 43169886 43829976 57559848 65744964 86339772 131489928 172679544 199061141 398122282 597183423 796244564 1194366846 1592489128 1791550269 2388733692 3583100538 4777467384 7166201076 14332402152