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115315412005000 = 235455750118263
BaseRepresentation
bin11010001110000011110110…
…001010110111000010001000
3120010022001020022222220120101
4122032003312022313002020
5110103311430433130000
61045131100254135144
733201156260215504
oct3216036612670210
9503261208886511
10115315412005000
1133819a9a8a0469
1210b24a961b14b4
134c46273195cbc
14206941d65b304
15d4e94268ce6a
hex68e0f62b7088

115315412005000 has 160 divisors (see below), whose sum is σ = 270755858640960. Its totient is φ = 46028593440000.

The previous prime is 115315412004973. The next prime is 115315412005009. The reversal of 115315412005000 is 500214513511.

It is a self number, because there is not a number n which added to its sum of digits gives 115315412005000.

It is not an unprimeable number, because it can be changed into a prime (115315412005009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13955630869 + ... + 13955639131.

It is an arithmetic number, because the mean of its divisors is an integer number (1692224116506).

Almost surely, 2115315412005000 is an apocalyptic number.

115315412005000 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 115315412005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135377929320480).

115315412005000 is an abundant number, since it is smaller than the sum of its proper divisors (155440446635960).

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

115315412005000 is an equidigital number, since it uses as much as digits as its factorization.

115315412005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13857 (or 13838 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 28.

Adding to 115315412005000 its reverse (500214513511), we get a palindrome (115815626518511).

The spelling of 115315412005000 in words is "one hundred fifteen trillion, three hundred fifteen billion, four hundred twelve million, five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 557 625 1000 1114 1250 2228 2500 2785 4456 5000 5011 5570 8263 10022 11140 13925 16526 20044 22280 25055 27850 33052 40088 41315 50110 55700 66104 69625 82630 100220 111400 125275 139250 165260 200440 206575 250550 278500 330520 348125 413150 501100 557000 626375 696250 826300 1002200 1032875 1252750 1392500 1652600 2065750 2505500 2785000 2791127 3131875 4131500 4602491 5011000 5164375 5582254 6263750 8263000 9204982 10328750 11164508 12527500 13955635 18409964 20657500 22329016 23012455 25055000 27911270 36819928 41315000 41405893 46024910 55822540 69778175 82811786 92049820 111645080 115062275 139556350 165623572 184099640 207029465 230124550 279112700 331247144 348890875 414058930 460249100 558225400 575311375 697781750 828117860 920498200 1035147325 1150622750 1395563500 1656235720 1744454375 2070294650 2301245500 2791127000 2876556875 3488908750 4140589300 4602491000 5175736625 5753113750 6977817500 8281178600 10351473250 11506227500 13955635000 20702946500 23012455000 23063082401 25878683125 41405893000 46126164802 51757366250 92252329604 103514732500 115315412005 184504659208 207029465000 230630824010 461261648020 576577060025 922523296040 1153154120050 2306308240100 2882885300125 4612616480200 5765770600250 11531541200500 14414426500625 23063082401000 28828853001250 57657706002500 115315412005000