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144122414340411 = 3413413338253407
BaseRepresentation
bin100000110001010000011101…
…010011111001100100111011
3200220021222010212010001110000
4200301100131103321210323
5122342300201032343121
61230304531221124043
742233333532026013
oct4061203523714473
9626258125101400
10144122414340411
1141a15a776a4691
12141b7a80b59623
1362558ba960490
1427837c2486c43
15119de4c3a7526
hex83141d4f993b

144122414340411 has 40 divisors (see below), whose sum is σ = 237510053472384. Its totient is φ = 86527528283520.

The previous prime is 144122414340409. The next prime is 144122414340449. The reversal of 144122414340411 is 114043414221441.

144122414340411 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 2 + 241 + 4 + 3 + 404 + 1 + 1 = 666.

It is not a de Polignac number, because 144122414340411 - 21 = 144122414340409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144122414340451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1669083531 + ... + 1669169876.

Almost surely, 2144122414340411 is an apocalyptic number.

144122414340411 is a deficient number, since it is larger than the sum of its proper divisors (93387639131973).

144122414340411 is a wasteful number, since it uses less digits than its factorization.

144122414340411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338253473 (or 3338253464 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 144122414340411 its reverse (114043414221441), we get a palindrome (258165828561852).

The spelling of 144122414340411 in words is "one hundred forty-four trillion, one hundred twenty-two billion, four hundred fourteen million, three hundred forty thousand, four hundred eleven".

Divisors: 1 3 9 13 27 39 41 81 117 123 351 369 533 1053 1107 1599 3321 4797 14391 43173 3338253407 10014760221 30044280663 43397294291 90132841989 130191882873 136868389687 270398525967 390575648619 410605169061 1171726945857 1231815507183 1779289065931 3515180837571 3695446521549 5337867197793 11086339564647 16013601593379 48040804780137 144122414340411