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31243010344 = 23721340115289
BaseRepresentation
bin11101000110001110…
…101000000100101000
32222122101020101000021
4131012032220010220
51002441202312334
622204114050224
72154142130500
oct350616500450
988571211007
1031243010344
1112282957107
12607b279974
132c3ba68390
141725572a00
15c2cd0d3b4
hex7463a8128

31243010344 has 96 divisors (see below), whose sum is σ = 73574562600. Its totient is φ = 12328243200.

The previous prime is 31243010341. The next prime is 31243010369. The reversal of 31243010344 is 44301034213.

It can be written as a sum of positive squares in 4 ways, for example, as 30219650244 + 1023360100 = 173838^2 + 31990^2 .

It is a super-2 number, since 2×312430103442 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31243010341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2035852 + ... + 2051140.

Almost surely, 231243010344 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 31243010344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36787281300).

31243010344 is an abundant number, since it is smaller than the sum of its proper divisors (42331552256).

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

31243010344 is a wasteful number, since it uses less digits than its factorization.

31243010344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15723 (or 15712 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 31243010344 its reverse (44301034213), we get a palindrome (75544044557).

The spelling of 31243010344 in words is "thirty-one billion, two hundred forty-three million, ten thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 401 637 728 802 1274 1604 2548 2807 3208 5096 5213 5614 10426 11228 15289 19649 20852 22456 30578 36491 39298 41704 61156 72982 78596 107023 122312 145964 157192 198757 214046 255437 291928 397514 428092 510874 749161 795028 856184 1021748 1391299 1498322 1590056 2043496 2782598 2996644 5565196 5993288 6130889 9739093 11130392 12261778 19478186 24523556 38956372 42916223 49047112 77912744 79701557 85832446 159403114 171664892 300413561 318806228 343329784 557910899 600827122 637612456 1115821798 1201654244 2231643596 2403308488 3905376293 4463287192 7810752586 15621505172 31243010344