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144744447441 = 31137101211621
BaseRepresentation
bin1000011011001101110…
…0001111110111010001
3111211121111012210002210
42012303130033313101
54332414034304231
6150254503502333
713312621334406
oct2066334176721
9454544183083
10144744447441
1156427515790
12240767579a9
13108597b5a49
1470117aa2ad
153b724e8a46
hex21b370fdd1

144744447441 has 48 divisors (see below), whose sum is σ = 218408433984. Its totient is φ = 84500640000.

The previous prime is 144744447431. The next prime is 144744447469.

144744447441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 144744447441 - 211 = 144744445393 is a prime.

It is a super-2 number, since 2×1447444474412 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144744447431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12449611 + ... + 12461231.

It is an arithmetic number, because the mean of its divisors is an integer number (4550175708).

Almost surely, 2144744447441 is an apocalyptic number.

144744447441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144744447441 is a deficient number, since it is larger than the sum of its proper divisors (73663986543).

144744447441 is a wasteful number, since it uses less digits than its factorization.

144744447441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11874 (or 11773 counting only the distinct ones).

The product of its digits is 3211264, while the sum is 48.

The spelling of 144744447441 in words is "one hundred forty-four billion, seven hundred forty-four million, four hundred forty-seven thousand, four hundred forty-one".

Divisors: 1 3 11 33 37 101 111 303 407 1111 1221 3333 3737 10201 11211 11621 30603 34863 41107 112211 123321 127831 336633 377437 383493 429977 1132311 1173721 1289931 3521163 4151807 4729747 12455421 12910931 14189241 38732793 43427677 118545821 130283031 355637463 477704447 1304004031 1433113341 3912012093 4386195377 13158586131 48248149147 144744447441