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115105250411214 = 237219311871708991
BaseRepresentation
bin11010001011000000000111…
…100100000000001011001110
3120002112221202210212202221120
4122023000013210000023032
5110041341023101124324
61044450342205541410
733150036260151600
oct3213000744001316
9502487683782846
10115105250411214
1133748954084478
1210ab0203574866
134c2c4bc85b64b
14205d1a3b91170
15d4924208b179
hex68b0079002ce

115105250411214 has 96 divisors (see below), whose sum is σ = 269410366089216. Its totient is φ = 32689232593920.

The previous prime is 115105250411191. The next prime is 115105250411287. The reversal of 115105250411214 is 412114052501511.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 66498259 + ... + 68207249.

It is an arithmetic number, because the mean of its divisors is an integer number (2806357980096).

Almost surely, 2115105250411214 is an apocalyptic number.

115105250411214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 115105250411214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134705183044608).

115105250411214 is an abundant number, since it is smaller than the sum of its proper divisors (154305115678002).

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

115105250411214 is a wasteful number, since it uses less digits than its factorization.

115105250411214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710390 (or 1710383 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 33.

The spelling of 115105250411214 in words is "one hundred fifteen trillion, one hundred five billion, two hundred fifty million, four hundred eleven thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 193 294 386 579 1158 1187 1351 2374 2702 3561 4053 7122 8106 8309 9457 16618 18914 24927 28371 49854 56742 58163 116326 174489 229091 348978 458182 687273 1374546 1603637 1708991 3207274 3417982 4810911 5126973 9621822 10253946 11225459 11962937 22450918 23925874 33676377 35888811 67352754 71777622 83740559 167481118 251221677 329835263 502443354 659670526 989505789 1979011578 2028572317 2308846841 4057144634 4617693682 6085716951 6926540523 12171433902 13853081046 14200006219 16161927887 28400012438 32323855774 42600018657 48485783661 85200037314 96971567322 99400043533 198800087066 298200130599 391514457181 596400261198 783028914362 1174543371543 2349086743086 2740601200267 5481202400534 8221803600801 16443607201602 19184208401869 38368416803738 57552625205607 115105250411214