Search a number
-
+
14240134302400 = 26528900083939
BaseRepresentation
bin1100111100111000101000…
…1001011000101011000000
31212102100021102222110000101
43033032022021120223000
53331302243340134100
650141454414332144
72666546542265416
oct317161211305300
955370242873011
1014240134302400
1145a0230635246
12171ba001ba054
137c3aba0b9546
143733248bb2b6
1519a642a3786a
hexcf38a258ac0

14240134302400 has 42 divisors (see below), whose sum is σ = 35039630471780. Its totient is φ = 5696053720320.

The previous prime is 14240134302397. The next prime is 14240134302409. The reversal of 14240134302400 is 420343104241.

It is not an unprimeable number, because it can be changed into a prime (14240134302409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4450040370 + ... + 4450043569.

Almost surely, 214240134302400 is an apocalyptic number.

14240134302400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14240134302400 is an abundant number, since it is smaller than the sum of its proper divisors (20799496169380).

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

14240134302400 is an equidigital number, since it uses as much as digits as its factorization.

14240134302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8900083961 (or 8900083946 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 14240134302400 its reverse (420343104241), we get a palindrome (14660477406641).

The spelling of 14240134302400 in words is "fourteen trillion, two hundred forty billion, one hundred thirty-four million, three hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 8900083939 17800167878 35600335756 44500419695 71200671512 89000839390 142401343024 178001678780 222502098475 284802686048 356003357560 445004196950 569605372096 712006715120 890008393900 1424013430240 1780016787800 2848026860480 3560033575600 7120067151200 14240134302400