Search a number
-
+
14354404000 = 25533588601
BaseRepresentation
bin11010101111001011…
…01101001010100000
31101001101100021110121
431113211231022200
5213344211412000
610332212410024
71015500264226
oct152745551240
941041307417
1014354404000
1160a6761202
122947316914
131479b777a1
149a25acb16
155902dbb1a
hex35796d2a0

14354404000 has 48 divisors (see below), whose sum is σ = 35268780456. Its totient is φ = 5741760000.

The previous prime is 14354403991. The next prime is 14354404027. The reversal of 14354404000 is 40445341.

14354404000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4034282256 + 10320121744 = 63516^2 + 101588^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1790301 + ... + 1798300.

Almost surely, 214354404000 is an apocalyptic number.

14354404000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14354404000 is an abundant number, since it is smaller than the sum of its proper divisors (20914376456).

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

14354404000 is an equidigital number, since it uses as much as digits as its factorization.

14354404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3588626 (or 3588608 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 14354404000 its reverse (40445341), we get a palindrome (14394849341).

The spelling of 14354404000 in words is "fourteen billion, three hundred fifty-four million, four hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 3588601 7177202 14354404 17943005 28708808 35886010 57417616 71772020 89715025 114835232 143544040 179430050 287088080 358860100 448575125 574176160 717720200 897150250 1435440400 1794300500 2870880800 3588601000 7177202000 14354404000