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1125443440 = 245114131193
BaseRepresentation
bin100001100010100…
…1110011101110000
32220102201110011101
41003011032131300
54301103142230
6303402054144
736614053132
oct10305163560
92812643141
101125443440
11528313350
12274aaa354
1314c21b984
14a9683052
1568c0eaca
hex4314e770

1125443440 has 80 divisors (see below), whose sum is σ = 2924250336. Its totient is φ = 399257600.

The previous prime is 1125443413. The next prime is 1125443453. The reversal of 1125443440 is 443445211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1125443399 and 1125443408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20484 + ... + 51676.

Almost surely, 21125443440 is an apocalyptic number.

1125443440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462125168).

1125443440 is an abundant number, since it is smaller than the sum of its proper divisors (1798806896).

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

1125443440 is a wasteful number, since it uses less digits than its factorization.

1125443440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31258 (or 31252 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 1125443440 is about 33547.6294244467. The cubic root of 1125443440 is about 1040.1785442969.

Adding to 1125443440 its reverse (443445211), we get a palindrome (1568888651).

The spelling of 1125443440 in words is "one billion, one hundred twenty-five million, four hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 205 220 328 410 440 451 656 820 880 902 1640 1804 2255 3280 3608 4510 7216 9020 18040 31193 36080 62386 124772 155965 249544 311930 343123 499088 623860 686246 1247720 1278913 1372492 1715615 2495440 2557826 2744984 3431230 5115652 5489968 6394565 6862460 10231304 12789130 13724920 14068043 20462608 25578260 27449840 28136086 51156520 56272172 70340215 102313040 112544344 140680430 225088688 281360860 562721720 1125443440