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412031045111441 = 7317541346337717
BaseRepresentation
bin101110110101111010111010…
…0000101001000111010010001
32000000212210010222012021200112
41131223311310011020322101
5413001204040022031231
64020152240553331105
7152534155255022000
oct13553656405107221
92000783128167615
10412031045111441
1110a31642637a198
123a266463406a95
13148ba48c9a5b62
1473a65a23a2c37
153297d167ba92b
hex176bd74148e91

412031045111441 has 64 divisors (see below), whose sum is σ = 509868665164800. Its totient is φ = 331675783326720.

The previous prime is 412031045111423. The next prime is 412031045111471. The reversal of 412031045111441 is 144111540130214.

It is not a de Polignac number, because 412031045111441 - 230 = 412029971369617 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 412031045111398 and 412031045111407.

It is not an unprimeable number, because it can be changed into a prime (412031045111471) 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, 10924260515 + ... + 10924298231.

It is an arithmetic number, because the mean of its divisors is an integer number (7966697893200).

Almost surely, 2412031045111441 is an apocalyptic number.

It is an amenable number.

412031045111441 is a deficient number, since it is larger than the sum of its proper divisors (97837620053359).

412031045111441 is a wasteful number, since it uses less digits than its factorization.

412031045111441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41759 (or 41745 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

Adding to 412031045111441 its reverse (144111540130214), we get a palindrome (556142585241655).

The spelling of 412031045111441 in words is "four hundred twelve trillion, thirty-one billion, forty-five million, one hundred eleven thousand, four hundred forty-one".

Divisors: 1 7 17 49 119 343 541 833 3463 3787 5831 9197 24241 26509 37717 58871 64379 169687 185563 264019 412097 450653 641189 1187809 1848133 1873483 2884679 3154571 4488323 12936931 13114381 20192753 20404897 31418261 31849211 91800667 130613971 142834279 219927827 222944477 346883249 642604669 914297797 999839953 1560611339 2220437507 2428182743 6400084579 6998879671 10924279373 15543062549 16997279201 44800592053 70662158311 108801437843 118980954407 494635108177 761610064901 1201256691287 3462445757239 8408796839009 24237120300673 58861577873063 412031045111441