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144704407441 = 11311273341363
BaseRepresentation
bin1000011011000100001…
…1100000011110010001
3111211111200212112112211
42012301003200132101
54332323312014231
6150250513352121
713311624111616
oct2066103403621
9454450775484
10144704407441
1156406958080
1224065268641
1310851406c39
14700a34650d
153b6dc39eb1
hex21b10e0791

144704407441 has 16 divisors (see below), whose sum is σ = 164234723328. Its totient is φ = 126303483600.

The previous prime is 144704407427. The next prime is 144704407451.

144704407441 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 144704407441 - 25 = 144704407409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144704407394 and 144704407403.

It is not an unprimeable number, because it can be changed into a prime (144704407451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1627375 + ... + 1713988.

It is an arithmetic number, because the mean of its divisors is an integer number (10264670208).

Almost surely, 2144704407441 is an apocalyptic number.

144704407441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144704407441 is a deficient number, since it is larger than the sum of its proper divisors (19530315887).

144704407441 is a wasteful number, since it uses less digits than its factorization.

144704407441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341532.

The product of its (nonzero) digits is 200704, while the sum is 40.

The spelling of 144704407441 in words is "one hundred forty-four billion, seven hundred four million, four hundred seven thousand, four hundred forty-one".

Divisors: 1 11 31 127 341 1397 3937 43307 3341363 36754993 103582253 424353101 1139404783 4667884111 13154946131 144704407441