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144100324420340 = 2257205016221017
BaseRepresentation
bin100000110000111011111000…
…101001100010101011110100
3200220012212010101000211211012
4200300323320221202223310
5122341414431022422330
61230250435233331352
742231622241556461
oct4060737051425364
9626185111024735
10144100324420340
1141a076714a17a2
12141b3737106b58
1362537aa2b6a62
1427826c87ba668
15119d5a7e15c95
hex830ef8a62af4

144100324420340 has 12 divisors (see below), whose sum is σ = 302610681282756. Its totient is φ = 57640129768128.

The previous prime is 144100324420279. The next prime is 144100324420411. The reversal of 144100324420340 is 43024423001441.

It can be written as a sum of positive squares in 2 ways, for example, as 100318573319056 + 43781751101284 = 10015916^2 + 6616778^2 .

It is a junction number, because it is equal to n+sod(n) for n = 144100324420297 and 144100324420306.

It is a congruent number.

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, 3602508110489 + ... + 3602508110528.

It is an arithmetic number, because the mean of its divisors is an integer number (25217556773563).

Almost surely, 2144100324420340 is an apocalyptic number.

144100324420340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144100324420340 is an abundant number, since it is smaller than the sum of its proper divisors (158510356862416).

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

144100324420340 is a wasteful number, since it uses less digits than its factorization.

144100324420340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7205016221026 (or 7205016221024 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 144100324420340 its reverse (43024423001441), we get a palindrome (187124747421781).

The spelling of 144100324420340 in words is "one hundred forty-four trillion, one hundred billion, three hundred twenty-four million, four hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 7205016221017 14410032442034 28820064884068 36025081105085 72050162210170 144100324420340