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12441160245444 = 22371033071346819
BaseRepresentation
bin1011010100001010111011…
…1011111110000011000100
31122001100210211220120211020
42311002232323332003010
53112313444010323234
642243220133111140
72422562356146060
oct265025673760304
948040724816736
1012441160245444
113a672a2688877
12148b21b4884b0
136c3272595a38
14310226490aa0
151689530d7549
hexb50aeefe0c4

12441160245444 has 96 divisors (see below), whose sum is σ = 33500334766080. Its totient is φ = 3519916570368.

The previous prime is 12441160245431. The next prime is 12441160245457. The reversal of 12441160245444 is 44454206114421.

It is an interprime number because it is at equal distance from previous prime (12441160245431) and next prime (12441160245457).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 12441160245396 and 12441160245405.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 265705467 + ... + 265752285.

It is an arithmetic number, because the mean of its divisors is an integer number (348961820480).

Almost surely, 212441160245444 is an apocalyptic number.

12441160245444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12441160245444 is an abundant number, since it is smaller than the sum of its proper divisors (21059174520636).

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

12441160245444 is a wasteful number, since it uses less digits than its factorization.

12441160245444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77649 (or 77647 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 42.

Adding to 12441160245444 its reverse (44454206114421), we get a palindrome (56895366359865).

The spelling of 12441160245444 in words is "twelve trillion, four hundred forty-one billion, one hundred sixty million, two hundred forty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 103 206 309 412 618 721 1236 1442 2163 2884 4326 8652 30713 46819 61426 92139 93638 122852 140457 184278 187276 214991 280914 327733 368556 429982 561828 644973 655466 859964 983199 1289946 1310932 1966398 2579892 3163439 3932796 4822357 6326878 9490317 9644714 12653756 14467071 18980634 19289428 22144073 28934142 33756499 37961268 44288146 57868284 66432219 67512998 88576292 101269497 132864438 135025996 202538994 265728876 405077988 1437951947 2875903894 4313855841 5751807788 8627711682 10065663629 17255423364 20131327258 30196990887 40262654516 60393981774 120787963548 148109050541 296218101082 444327151623 592436202164 888654303246 1036763353787 1777308606492 2073526707574 3110290061361 4147053415148 6220580122722 12441160245444