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144300404013441 = 3131031991243314519
BaseRepresentation
bin100000110011110110001110…
…010100100111100110000001
3200220220222120021002021112020
4200303312032110213212001
5122403204211411412231
61230522405045352053
742252234350213364
oct4063661624474601
9626828507067466
10144300404013441
1141a84504186415
1214226475408629
136269614c53030
14278c26929a0db
1511a38b835d396
hex833d8e527981

144300404013441 has 64 divisors (see below), whose sum is σ = 210294948864000. Its totient is φ = 87483146978304.

The previous prime is 144300404013431. The next prime is 144300404013461. The reversal of 144300404013441 is 144310404003441.

It is not a de Polignac number, because 144300404013441 - 27 = 144300404013313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144300404013401) 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, 9938721580 + ... + 9938736098.

It is an arithmetic number, because the mean of its divisors is an integer number (3285858576000).

Almost surely, 2144300404013441 is an apocalyptic number.

It is an amenable number.

144300404013441 is a deficient number, since it is larger than the sum of its proper divisors (65994544850559).

144300404013441 is a wasteful number, since it uses less digits than its factorization.

144300404013441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27270.

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

Adding to 144300404013441 its reverse (144310404003441), we get a palindrome (288610808016882).

The spelling of 144300404013441 in words is "one hundred forty-four trillion, three hundred billion, four hundred four million, thirteen thousand, four hundred forty-one".

Divisors: 1 3 13 39 103 199 309 597 1339 2587 4017 7761 12433 14519 20497 37299 43557 61491 161629 188747 266461 484887 566241 799383 1280599 1495457 2474167 2889281 3841797 4486371 7422501 8667843 16647787 19440941 32164171 37560653 49943361 58322823 96492513 112681959 180514727 254839201 297595943 541544181 764517603 892787829 2346691451 3312909613 3868747259 7040074353 9938728839 11606241777 18593016881 35922430673 55779050643 107767292019 241709219453 466991598749 725127658359 1400974796247 3700010359319 11100031077957 48100134671147 144300404013441