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115141505000220 = 223254634657296669
BaseRepresentation
bin11010001011100001111000…
…100000010010001100011100
3120002200102100110021201110100
4122023201320200102030130
5110042434300240001340
61044515135511341100
733152461555113036
oct3213417040221434
9502612313251410
10115141505000220
1133762268926826
1210ab7241081790
134c32a4997a88a
142060c42b5ac56
15d4a164d3b830
hex68b87881231c

115141505000220 has 144 divisors (see below), whose sum is σ = 350093251347840. Its totient is φ = 30631402948608.

The previous prime is 115141505000131. The next prime is 115141505000257. The reversal of 115141505000220 is 22000505141511.

It is a happy number.

115141505000220 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 4 + 150 + 500 + 0 + 2 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 387966046 + ... + 388262714.

It is an arithmetic number, because the mean of its divisors is an integer number (2431203134360).

Almost surely, 2115141505000220 is an apocalyptic number.

115141505000220 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 115141505000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175046625673920).

115141505000220 is an abundant number, since it is smaller than the sum of its proper divisors (234951746347620).

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

115141505000220 is a wasteful number, since it uses less digits than its factorization.

115141505000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301804 (or 301799 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The spelling of 115141505000220 in words is "one hundred fifteen trillion, one hundred forty-one billion, five hundred five million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 463 926 1389 1852 2315 2778 4167 4630 4657 5556 6945 8334 9260 9314 13890 13971 16668 18628 20835 23285 27780 27942 41670 41913 46570 55884 69855 83340 83826 93140 139710 167652 209565 279420 296669 419130 593338 838260 890007 1186676 1483345 1780014 2156191 2670021 2966690 3560028 4312382 4450035 5340042 5933380 6468573 8624764 8900070 10680084 10780955 12937146 13350105 17800140 19405719 21561910 25874292 26700210 32342865 38811438 43123820 53400420 64685730 77622876 97028595 129371460 137357747 194057190 274715494 388114380 412073241 549430988 686788735 824146482 1236219723 1373577470 1381587533 1648292964 2060366205 2472439446 2747154940 2763175066 4120732410 4144762599 4944878892 5526350132 6181098615 6907937665 8241464820 8289525198 12362197230 12434287797 13815875330 16579050396 20723812995 24724394460 24868575594 27631750660 41447625990 49737151188 62171438985 82895251980 124342877970 248685755940 639675027779 1279350055558 1919025083337 2558700111116 3198375138895 3838050166674 5757075250011 6396750277790 7676100333348 9595125416685 11514150500022 12793500555580 19190250833370 23028301000044 28785376250055 38380501666740 57570752500110 115141505000220