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1131424024032 = 253222697173087
BaseRepresentation
bin10000011101101110001…
…000001000010111100000
311000011101212220120211200
4100131232020020113200
5122014124022232112
62223434035241200
7144512512344651
oct20355610102740
94004355816750
101131424024032
113a691a402395
1216333b749200
13829011b0a33
143ca92ab9528
151e66e617cdc
hex1076e2085e0

1131424024032 has 72 divisors (see below), whose sum is σ = 3217647416256. Its totient is φ = 377122546176.

The previous prime is 1131424024021. The next prime is 1131424024037. The reversal of 1131424024032 is 2304204241311.

1131424024032 is a `hidden beast` number, since 1 + 1 + 3 + 14 + 240 + 2 + 403 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 1131424023987 and 1131424024005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131424024037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6450193 + ... + 6623279.

It is an arithmetic number, because the mean of its divisors is an integer number (44689547448).

Almost surely, 21131424024032 is an apocalyptic number.

1131424024032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1131424024032 is an abundant number, since it is smaller than the sum of its proper divisors (2086223392224).

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

1131424024032 is a wasteful number, since it uses less digits than its factorization.

1131424024032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195800 (or 195789 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1131424024032 its reverse (2304204241311), we get a palindrome (3435628265343).

The spelling of 1131424024032 in words is "one trillion, one hundred thirty-one billion, four hundred twenty-four million, twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 22697 45394 68091 90788 136182 173087 181576 204273 272364 346174 363152 408546 519261 544728 692348 726304 817092 1038522 1089456 1384696 1557783 1634184 2077044 2178912 2769392 3115566 3268368 4154088 5538784 6231132 6536736 8308176 12462264 16616352 24924528 49849056 3928555639 7857111278 11785666917 15714222556 23571333834 31428445112 35357000751 47142667668 62856890224 70714001502 94285335336 125713780448 141428003004 188570670672 282856006008 377141341344 565712012016 1131424024032