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144017440017 = 31125359912497
BaseRepresentation
bin1000011000100000011…
…0111011110100010001
3111202201211012222101220
42012020012323310101
54324421431040032
6150054413315253
713255613020263
oct2061006736421
9452654188356
10144017440017
11560940aa300
1223ab3195b29
1310771cab839
146d83001b33
153b2d78e12c
hex21881bbd11

144017440017 has 48 divisors (see below), whose sum is σ = 215425526400. Its totient is φ = 85486635520.

The previous prime is 144017439949. The next prime is 144017440043. The reversal of 144017440017 is 710044710441.

It is not a de Polignac number, because 144017440017 - 27 = 144017439889 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 144017440017.

It is not an unprimeable number, because it can be changed into a prime (144017440117) 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, 11517913 + ... + 11530409.

It is an arithmetic number, because the mean of its divisors is an integer number (4488031800).

Almost surely, 2144017440017 is an apocalyptic number.

It is an amenable number.

144017440017 is a deficient number, since it is larger than the sum of its proper divisors (71408086383).

144017440017 is a wasteful number, since it uses less digits than its factorization.

144017440017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13174 (or 13163 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The spelling of 144017440017 in words is "one hundred forty-four billion, seventeen million, four hundred forty thousand, seventeen".

Divisors: 1 3 11 33 53 121 159 363 583 599 1749 1797 6413 6589 12497 19239 19767 31747 37491 72479 95241 137467 217437 349217 412401 662341 1047651 1512137 1987023 3841387 4536411 7285751 7485703 11524161 21857253 22457109 80143261 82342733 240429783 247028199 396742259 905770063 1190226777 2717310189 4364164849 13092494547 48005813339 144017440017