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144304341441 = 313171924147533
BaseRepresentation
bin1000011001100100110…
…1011000000111000001
3111210110211002002011120
42012121031120013001
54331013402411231
6150143102502453
713265665443501
oct2063115300701
9453424062146
10144304341441
1156221047617
1223b73294a29
13107b95715b0
146dad165a01
153b48a61d96
hex21993581c1

144304341441 has 64 divisors (see below), whose sum is σ = 231905076480. Its totient is φ = 78849884160.

The previous prime is 144304341421. The next prime is 144304341449. The reversal of 144304341441 is 144143403441.

It is not a de Polignac number, because 144304341441 - 211 = 144304339393 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (144304341449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3012111 + ... + 3059643.

It is an arithmetic number, because the mean of its divisors is an integer number (3623516820).

Almost surely, 2144304341441 is an apocalyptic number.

It is an amenable number.

144304341441 is a deficient number, since it is larger than the sum of its proper divisors (87600735039).

144304341441 is a wasteful number, since it uses less digits than its factorization.

144304341441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47826.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 144304341441 its reverse (144143403441), we get a palindrome (288447744882).

The spelling of 144304341441 in words is "one hundred forty-four billion, three hundred four million, three hundred forty-one thousand, four hundred forty-one".

Divisors: 1 3 13 17 19 39 51 57 221 241 247 323 663 723 741 969 3133 4097 4199 4579 9399 12291 12597 13737 47533 53261 59527 77843 142599 159783 178581 233529 617929 808061 903127 1011959 1853787 2424183 2709381 3035877 10504793 11455453 11740651 15353159 31514379 34366359 35221953 46059477 148920889 194742701 199591067 217653607 446762667 584228103 598773201 652960821 2531655113 2829496891 3700111319 7594965339 8488490673 11100333957 48101447147 144304341441