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1125403344 = 2432134712791
BaseRepresentation
bin100001100010100…
…0100101011010000
32220102122102011100
41003011010223100
54301100401334
6303401144400
736613525212
oct10305045320
92812572140
101125403344
1152829620a
12274a8b100
1314c206650
14a96725b2
1568c02c99
hex43144ad0

1125403344 has 120 divisors (see below), whose sum is σ = 3464278272. Its totient is φ = 338883840.

The previous prime is 1125403343. The next prime is 1125403361. The reversal of 1125403344 is 4433045211.

It is a happy number.

1125403344 is a `hidden beast` number, since 112 + 540 + 3 + 3 + 4 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125403343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81589 + ... + 94379.

Almost surely, 21125403344 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 1125403344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732139136).

1125403344 is an abundant number, since it is smaller than the sum of its proper divisors (2338874928).

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

1125403344 is a wasteful number, since it uses less digits than its factorization.

1125403344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12865 (or 12856 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1125403344 is about 33547.0318210121. The cubic root of 1125403344 is about 1040.1661913900.

Adding to 1125403344 its reverse (4433045211), we get a palindrome (5558448555).

The spelling of 1125403344 in words is "one billion, one hundred twenty-five million, four hundred three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 47 48 52 72 78 94 104 117 141 144 156 188 208 234 282 312 376 423 468 564 611 624 752 846 936 1128 1222 1692 1833 1872 2256 2444 3384 3666 4888 5499 6768 7332 9776 10998 12791 14664 21996 25582 29328 38373 43992 51164 76746 87984 102328 115119 153492 166283 204656 230238 306984 332566 460476 498849 601177 613968 665132 920952 997698 1202354 1330264 1496547 1803531 1841904 1995396 2404708 2660528 2993094 3607062 3990792 4809416 5410593 5986188 7214124 7815301 7981584 9618832 10821186 11972376 14428248 15630602 21642372 23445903 23944752 28856496 31261204 43284744 46891806 62522408 70337709 86569488 93783612 125044816 140675418 187567224 281350836 375134448 562701672 1125403344