Search a number
-
+
14420332032 = 29314996263
BaseRepresentation
bin11010110111000010…
…01100111000000000
31101012222101202201120
431123201030320000
5214013101111112
610342525432240
71020230541231
oct153341147000
941188352646
1014420332032
11612a9a0987
12296540b680
13148a71ba62
149ab251088
15595eb0e8c
hex35b84ce00

14420332032 has 80 divisors (see below), whose sum is σ = 38448432000. Its totient is φ = 4802803712.

The previous prime is 14420332027. The next prime is 14420332051. The reversal of 14420332032 is 23023302441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 14420331993 and 14420332011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2299333 + ... + 2305595.

It is an arithmetic number, because the mean of its divisors is an integer number (480605400).

Almost surely, 214420332032 is an apocalyptic number.

14420332032 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 14420332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19224216000).

14420332032 is an abundant number, since it is smaller than the sum of its proper divisors (24028099968).

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

14420332032 is an equidigital number, since it uses as much as digits as its factorization.

14420332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7783 (or 7767 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 14420332032 its reverse (23023302441), we get a palindrome (37443634473).

The spelling of 14420332032 in words is "fourteen billion, four hundred twenty million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1499 1536 2998 4497 5996 6263 8994 11992 12526 17988 18789 23984 25052 35976 37578 47968 50104 71952 75156 95936 100208 143904 150312 191872 200416 287808 300624 383744 400832 575616 601248 767488 801664 1151232 1202496 1603328 2302464 2404992 3206656 4809984 9388237 9619968 18776474 28164711 37552948 56329422 75105896 112658844 150211792 225317688 300423584 450635376 600847168 901270752 1201694336 1802541504 2403388672 3605083008 4806777344 7210166016 14420332032