Search a number
-
+
144110113100320 = 255900688206877
BaseRepresentation
bin100000110001000101000000…
…000110011001001000100000
3200220020210101120011022101011
4200301011000012121020200
5122342100002423202240
61230255134430550304
742232416642146203
oct4061050006311040
9626223346138334
10144110113100320
1141a108349a1964
12141b5609368394
1362546aa2855a3
142782d7685193a
15119d97c4806ea
hex831140199220

144110113100320 has 24 divisors (see below), whose sum is σ = 340460142199884. Its totient is φ = 57644045240064.

The previous prime is 144110113100257. The next prime is 144110113100329. The reversal of 144110113100320 is 23001311011441.

It can be written as a sum of positive squares in 2 ways, for example, as 140398895792016 + 3711217308304 = 11849004^2 + 1926452^2 .

It is a junction number, because it is equal to n+sod(n) for n = 144110113100291 and 144110113100300.

It is not an unprimeable number, because it can be changed into a prime (144110113100329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 450344103279 + ... + 450344103598.

Almost surely, 2144110113100320 is an apocalyptic number.

144110113100320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144110113100320 is an abundant number, since it is smaller than the sum of its proper divisors (196350029099564).

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

144110113100320 is an equidigital number, since it uses as much as digits as its factorization.

144110113100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900688206892 (or 900688206884 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 144110113100320 its reverse (23001311011441), we get a palindrome (167111424111761).

The spelling of 144110113100320 in words is "one hundred forty-four trillion, one hundred ten billion, one hundred thirteen million, one hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 900688206877 1801376413754 3602752827508 4503441034385 7205505655016 9006882068770 14411011310032 18013764137540 28822022620064 36027528275080 72055056550160 144110113100320