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31224331040 = 25579722963
BaseRepresentation
bin11101000101000111…
…010111101100100000
32222121002002100211012
4131011013113230200
51002421412043130
622202205440052
72153524302050
oct350507275440
988532070735
1031224331040
1112273359071
126074b70028
132c37c28136
141722cad560
15c2b36d995
hex7451d7b20

31224331040 has 144 divisors (see below), whose sum is σ = 85212533952. Its totient is φ = 10591543296.

The previous prime is 31224331037. The next prime is 31224331049. The reversal of 31224331040 is 4013342213.

It is a junction number, because it is equal to n+sod(n) for n = 31224330997 and 31224331015.

It is not an unprimeable number, because it can be changed into a prime (31224331049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10536599 + ... + 10539561.

It is an arithmetic number, because the mean of its divisors is an integer number (591753708).

Almost surely, 231224331040 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 31224331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42606266976).

31224331040 is an abundant number, since it is smaller than the sum of its proper divisors (53988202912).

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

31224331040 is an equidigital number, since it uses as much as digits as its factorization.

31224331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3179 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 31224331040 its reverse (4013342213), we get a palindrome (35237673253).

The spelling of 31224331040 in words is "thirty-one billion, two hundred twenty-four million, three hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 97 112 140 160 194 224 280 388 485 560 679 776 970 1120 1358 1552 1940 2716 2963 3104 3395 3880 5432 5926 6790 7760 9409 10864 11852 13580 14815 15520 18818 20741 21728 23704 27160 29630 37636 41482 47045 47408 54320 59260 65863 75272 82964 94090 94816 103705 108640 118520 131726 150544 165928 188180 207410 237040 263452 287411 301088 329315 331856 376360 414820 474080 526904 574822 658630 663712 752720 829640 1053808 1149644 1317260 1437055 1505440 1659280 2011877 2107616 2299288 2634520 2874110 3318560 4023754 4598576 5269040 5748220 8047508 9197152 10059385 10538080 11496440 16095016 20118770 22992880 27878867 32190032 40237540 45985760 55757734 64380064 80475080 111515468 139394335 160950160 195152069 223030936 278788670 321900320 390304138 446061872 557577340 780608276 892123744 975760345 1115154680 1561216552 1951520690 2230309360 3122433104 3903041380 4460618720 6244866208 7806082760 15612165520 31224331040