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115334134500 = 22353132454967
BaseRepresentation
bin110101101101001110…
…0110011101011100100
3102000200211112002022010
41223122130303223210
53342201014301000
6124552254434220
711222041652664
oct1533234635344
9360624462263
10115334134500
1144a05126332
121a429202970
13ab50648400
1458217c21a4
153000551d50
hex1ada733ae4

115334134500 has 144 divisors (see below), whose sum is σ = 363675940992. Its totient is φ = 28389878400.

The previous prime is 115334134493. The next prime is 115334134577. The reversal of 115334134500 is 5431433511.

It is a super-3 number, since 3×1153341345003 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26017 + ... + 480983.

It is an arithmetic number, because the mean of its divisors is an integer number (2525527368).

Almost surely, 2115334134500 is an apocalyptic number.

115334134500 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 115334134500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181837970496).

115334134500 is an abundant number, since it is smaller than the sum of its proper divisors (248341806492).

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

115334134500 is a wasteful number, since it uses less digits than its factorization.

115334134500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455015 (or 454990 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 115334134500 in words is "one hundred fifteen billion, three hundred thirty-four million, one hundred thirty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 125 130 150 156 169 195 250 260 300 325 338 375 390 500 507 650 676 750 780 845 975 1014 1300 1500 1625 1690 1950 2028 2535 3250 3380 3900 4225 4875 5070 6500 8450 9750 10140 12675 16900 19500 21125 25350 42250 50700 63375 84500 126750 253500 454967 909934 1364901 1819868 2274835 2729802 4549670 5459604 5914571 6824505 9099340 11374175 11829142 13649010 17743713 22748350 23658284 27298020 29572855 34122525 35487426 45496700 56870875 59145710 68245050 70974852 76889423 88718565 113741750 118291420 136490100 147864275 153778846 170612625 177437130 227483500 230668269 295728550 307557692 341225250 354874260 384447115 443592825 461336538 591457100 682450500 739321375 768894230 887185650 922673076 1153341345 1478642750 1537788460 1774371300 1922235575 2217964125 2306682690 2957285500 3844471150 4435928250 4613365380 5766706725 7688942300 8871856500 9611177875 11533413450 19222355750 23066826900 28833533625 38444711500 57667067250 115334134500