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115354240000 = 21054180241
BaseRepresentation
bin110101101101110100…
…1100000010000000000
3102000202020100112212021
41223123221200100000
53342221141140000
6124554253411224
711222404601416
oct1533351402000
9360666315767
10115354240000
1144a1550894a
121a433a99b14
13ab5486785c
1458243372b6
1530021c411a
hex1adba60400

115354240000 has 110 divisors (see below), whose sum is σ = 288154147094. Its totient is φ = 46141440000.

The previous prime is 115354239961. The next prime is 115354240003. The reversal of 115354240000 is 42453511.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 81768546304 + 33585693696 = 285952^2 + 183264^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115354240003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 549880 + ... + 730120.

Almost surely, 2115354240000 is an apocalyptic number.

115354240000 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 115354240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144077073547).

115354240000 is an abundant number, since it is smaller than the sum of its proper divisors (172799907094).

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

115354240000 is an frugal number, since it uses more digits than its factorization.

115354240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180281 (or 180248 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 115354240000 its reverse (42453511), we get a palindrome (115396693511).

The spelling of 115354240000 in words is "one hundred fifteen billion, three hundred fifty-four million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2500 2560 3200 4000 5000 5120 6400 8000 10000 12800 16000 20000 25600 32000 40000 64000 80000 128000 160000 180241 320000 360482 640000 720964 901205 1441928 1802410 2883856 3604820 4506025 5767712 7209640 9012050 11535424 14419280 18024100 22530125 23070848 28838560 36048200 45060250 46141696 57677120 72096400 90120500 92283392 112650625 115354240 144192800 180241000 184566784 225301250 230708480 288385600 360482000 450602500 461416960 576771200 720964000 901205000 922833920 1153542400 1441928000 1802410000 2307084800 2883856000 3604820000 4614169600 5767712000 7209640000 11535424000 14419280000 23070848000 28838560000 57677120000 115354240000