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144331404525 = 33527112252449
BaseRepresentation
bin1000011001101011010…
…0100111010011101101
3111210112201000000202000
42012122310213103231
54331042314421100
6150145510522513
713266444460560
oct2063264472355
9453481000660
10144331404525
1156235351500
1223b80366439
13107c2058859
146db29ac4d7
153b4b10a900
hex219ad274ed

144331404525 has 144 divisors (see below), whose sum is σ = 333072432000. Its totient is φ = 59981644800.

The previous prime is 144331404499. The next prime is 144331404533. The reversal of 144331404525 is 525404133441.

It is not a de Polignac number, because 144331404525 - 26 = 144331404461 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 144331404525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 445501 + ... + 697949.

It is an arithmetic number, because the mean of its divisors is an integer number (2313003000).

Almost surely, 2144331404525 is an apocalyptic number.

144331404525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144331404525 is an abundant number, since it is smaller than the sum of its proper divisors (188741027475).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144331404525 is a wasteful number, since it uses less digits than its factorization.

144331404525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252497 (or 252475 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 144331404525 its reverse (525404133441), we get a palindrome (669735537966).

The spelling of 144331404525 in words is "one hundred forty-four billion, three hundred thirty-one million, four hundred four thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 27 33 35 45 55 63 75 77 99 105 121 135 165 175 189 225 231 275 297 315 363 385 495 525 605 675 693 825 847 945 1089 1155 1485 1575 1815 1925 2079 2475 2541 3025 3267 3465 4235 4725 5445 5775 7425 7623 9075 10395 12705 16335 17325 21175 22869 27225 38115 51975 63525 81675 114345 190575 252449 571725 757347 1262245 1767143 2272041 2776939 3786735 5301429 6311225 6816123 8330817 8835715 11360205 13884695 15904287 18933675 19438573 24992451 26507145 30546329 34080615 41654085 44178575 47712861 56801025 58315719 69423475 74977353 79521435 91638987 97192865 124962255 132535725 152731645 170403075 174947157 208270425 213824303 238564305 274916961 291578595 374886765 397607175 458194935 485964325 524841471 624811275 641472909 763658225 824750883 874735785 1069121515 1192821525 1374584805 1457892975 1874433825 1924418727 2290974675 2624207355 3207364545 4123754415 4373678925 5345607575 5773256181 6872924025 9622093635 13121036775 16036822725 20618772075 28866280905 48110468175 144331404525