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113014069888 = 271797569941
BaseRepresentation
bin110100101000000101…
…0011101101010000000
3101210201010220120222011
41221100022131222000
53322423100214023
6123530135422304
711110410513136
oct1512012355200
9353633816864
10113014069888
1143a24550465
1219aa0224994
13a870a99605
14568160d756
152e16a1a50d
hex1a5029da80

113014069888 has 128 divisors (see below), whose sum is σ = 241526350800. Its totient is φ = 52486471680.

The previous prime is 113014069843. The next prime is 113014069907. The reversal of 113014069888 is 888960410311.

113014069888 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 56411950144 + 56602119744 = 237512^2 + 237912^2 .

It is a tau number, because it is divible by the number of its divisors (128).

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, 120099498 + ... + 120100438.

Almost surely, 2113014069888 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 113014069888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120763175400).

113014069888 is an abundant number, since it is smaller than the sum of its proper divisors (128512280912).

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

113014069888 is an equidigital number, since it uses as much as digits as its factorization.

113014069888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 49.

The spelling of 113014069888 in words is "one hundred thirteen billion, fourteen million, sixty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 97 128 136 194 272 388 544 569 776 941 1088 1138 1552 1649 1882 2176 2276 3104 3298 3764 4552 6208 6596 7528 9104 9673 12416 13192 15056 15997 18208 19346 26384 30112 31994 36416 38692 52768 55193 60224 63988 72832 77384 91277 105536 110386 120448 127976 154768 182554 211072 220772 255952 309536 365108 441544 511904 535429 619072 730216 883088 938281 1023808 1070858 1238144 1460432 1551709 1766176 1876562 2047616 2141716 2920864 3103418 3532352 3753124 4283432 5841728 6206836 7064704 7506248 8566864 9102293 11683456 12413672 15012496 17133728 18204586 24827344 30024992 34267456 36409172 49654688 51936613 60049984 68534912 72818344 99309376 103873226 120099968 145636688 198618752 207746452 291273376 415492904 582546752 830985808 882922421 1165093504 1661971616 1765844842 3323943232 3531689684 6647886464 7063379368 14126758736 28253517472 56507034944 113014069888