Search a number
-
+
10432305514112 = 27277729349077
BaseRepresentation
bin1001011111001111010111…
…0111010100011010000000
31100221022121022022202222212
42113303311313110122000
52331410330202422422
634104311320321252
72124465153522536
oct227636567243200
940838538282885
1010432305514112
113362352547309
121205a26013228
135a89ba6b4891
14280cd7a02156
1513157ca759e2
hex97cf5dd4680

10432305514112 has 32 divisors (see below), whose sum is σ = 20790593364420. Its totient is φ = 5214274238464.

The previous prime is 10432305514091. The next prime is 10432305514139. The reversal of 10432305514112 is 21141550323401.

It can be written as a sum of positive squares in 2 ways, for example, as 10061736256576 + 370569257536 = 3172024^2 + 608744^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×104323055141122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 3 ways as a sum of consecutive naturals, for example, 14319083 + ... + 15029994.

Almost surely, 210432305514112 is an apocalyptic number.

It is an amenable number.

10432305514112 is a deficient number, since it is larger than the sum of its proper divisors (10358287850308).

10432305514112 is an equidigital number, since it uses as much as digits as its factorization.

10432305514112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29351868 (or 29351856 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 10432305514112 its reverse (21141550323401), we get a palindrome (31573855837513).

The spelling of 10432305514112 in words is "ten trillion, four hundred thirty-two billion, three hundred five million, five hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 2777 5554 11108 22216 44432 88864 177728 355456 29349077 58698154 117396308 234792616 469585232 939170464 1878340928 3756681856 81502386829 163004773658 326009547316 652019094632 1304038189264 2608076378528 5216152757056 10432305514112