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12431040440 = 2357138114211
BaseRepresentation
bin10111001001111001…
…01001111110111000
31012002100012021200012
423210330221332320
5200424321243230
65413304201052
7620024046260
oct134474517670
935070167605
1012431040440
1152a9aa8745
1224ab169188
131231553840
1485cd827a0
154cb516395
hex2e4f29fb8

12431040440 has 128 divisors (see below), whose sum is σ = 34475051520. Its totient is φ = 3928435200.

The previous prime is 12431040403. The next prime is 12431040463. The reversal of 12431040440 is 4404013421.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2949935 + ... + 2954145.

It is an arithmetic number, because the mean of its divisors is an integer number (269336340).

Almost surely, 212431040440 is an apocalyptic number.

12431040440 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 12431040440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17237525760).

12431040440 is an abundant number, since it is smaller than the sum of its proper divisors (22044011080).

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

12431040440 is a wasteful number, since it uses less digits than its factorization.

12431040440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5053 (or 5049 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 12431040440 its reverse (4404013421), we get a palindrome (16835053861).

The spelling of 12431040440 in words is "twelve billion, four hundred thirty-one million, forty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 811 910 1622 1820 3244 3640 4055 4211 5677 6488 8110 8422 10543 11354 16220 16844 21055 21086 22708 28385 29477 32440 33688 42110 42172 45416 52715 54743 56770 58954 73801 84220 84344 105430 109486 113540 117908 147385 147602 168440 210860 218972 227080 235816 273715 294770 295204 369005 383201 421720 437944 547430 589540 590408 738010 766402 1094860 1179080 1476020 1532804 1916005 2189720 2952040 3065608 3415121 3832010 6830242 7664020 13660484 15328040 17075605 23905847 27320968 34151210 44396573 47811694 68302420 88793146 95623388 119529235 136604840 177586292 191246776 221982865 239058470 310776011 355172584 443965730 478116940 621552022 887931460 956233880 1243104044 1553880055 1775862920 2486208088 3107760110 6215520220 12431040440