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245323425201444 = 2232172170271384843
BaseRepresentation
bin110111110001111011001111…
…100111010011110100100100
31012011121200122022020202100200
4313301323033213103310210
5224123334333322421234
62225432005314510500
7102450014113112112
oct6761731747236444
91164550568222320
10245323425201444
1171193097a59797
12236213a6895430
13a6b6b90931a35
144481a07b5aab2
151d5665a48bd99
hexdf1ecf9d3d24

245323425201444 has 108 divisors (see below), whose sum is σ = 658785850907184. Its totient is φ = 76959636127488.

The previous prime is 245323425201343. The next prime is 245323425201457. The reversal of 245323425201444 is 444102524323542.

245323425201444 is a `hidden beast` number, since 2 + 4 + 5 + 32 + 3 + 42 + 520 + 14 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 245323425201444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 176456487 + ... + 177841329.

Almost surely, 2245323425201444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245323425201444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329392925453592).

245323425201444 is an abundant number, since it is smaller than the sum of its proper divisors (413462425705740).

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

245323425201444 is a wasteful number, since it uses less digits than its factorization.

245323425201444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401914 (or 1401892 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 45.

Adding to 245323425201444 its reverse (444102524323542), we get a palindrome (689425949524986).

The spelling of 245323425201444 in words is "two hundred forty-five trillion, three hundred twenty-three billion, four hundred twenty-five million, two hundred one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 5202 10404 17027 34054 51081 68108 102162 153243 204324 289459 306486 578918 612972 868377 1157836 1384843 1736754 2605131 2769686 3473508 4154529 4920803 5210262 5539372 8309058 9841606 10420524 12463587 14762409 16618116 19683212 23542331 24927174 29524818 44287227 47084662 49854348 59049636 70626993 88574454 94169324 141253986 177148908 211880979 282507972 400219627 423761958 800439254 847523916 1200658881 1600878508 2401317762 3601976643 4802635524 7203953286 14407906572 23579721761 47159443522 70739165283 94318887044 141478330566 212217495849 282956661132 400855269937 424434991698 801710539874 848869983396 1202565809811 1603421079748 2405131619622 3607697429433 4810263239244 6814539588929 7215394858866 13629079177858 14430789717732 20443618766787 27258158355716 40887237533574 61330856300361 81774475067148 122661712600722 245323425201444