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144343030401 = 341782012721
BaseRepresentation
bin1000011001101110000…
…0111101101010000001
3111210120111212200110000
42012123200331222001
54331103303433101
6150151004030213
713266645341343
oct2063340755201
9453514780400
10144343030401
1156240972169
1223b84232369
13107c459947b
146db4357293
153b4c155486
hex219b83da81

144343030401 has 10 divisors (see below), whose sum is σ = 215623539362. Its totient is φ = 96228686880.

The previous prime is 144343030369. The next prime is 144343030409. The reversal of 144343030401 is 104030343441.

144343030401 is a `hidden beast` number, since 14 + 4 + 343 + 0 + 304 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 99366800625 + 44976229776 = 315225^2 + 212076^2 .

It is not a de Polignac number, because 144343030401 - 25 = 144343030369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144343030409) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 891006280 + ... + 891006441.

Almost surely, 2144343030401 is an apocalyptic number.

It is an amenable number.

144343030401 is a deficient number, since it is larger than the sum of its proper divisors (71280508961).

144343030401 is an equidigital number, since it uses as much as digits as its factorization.

144343030401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782012733 (or 1782012724 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 144343030401 its reverse (104030343441), we get a palindrome (248373373842).

The spelling of 144343030401 in words is "one hundred forty-four billion, three hundred forty-three million, thirty thousand, four hundred one".

Divisors: 1 3 9 27 81 1782012721 5346038163 16038114489 48114343467 144343030401