Search a number
-
+
241132400241000 = 2335380377466747
BaseRepresentation
bin110110110100111100000011…
…000011110110100101101000
31011121210000212120101121122120
4312310330003003312211220
5223101203123430203000
62212502410112551240
7101535145444534032
oct6664740303664550
91147700776347576
10241132400241000
116a917749699a94
12230650a8b52520
13a4718c3068238
144378c286d4c52
151cd2618e586a0
hexdb4f030f6968

241132400241000 has 64 divisors (see below), whose sum is σ = 752333088761280. Its totient is φ = 64301973396800.

The previous prime is 241132400240983. The next prime is 241132400241011. The reversal of 241132400241000 is 142004231142.

241132400241000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40188730374 + ... + 40188736373.

It is an arithmetic number, because the mean of its divisors is an integer number (11755204511895).

Almost surely, 2241132400241000 is an apocalyptic number.

241132400241000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241132400241000 is an abundant number, since it is smaller than the sum of its proper divisors (511200688520280).

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

241132400241000 is a wasteful number, since it uses less digits than its factorization.

241132400241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80377466771 (or 80377466757 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 241132400241000 its reverse (142004231142), we get a palindrome (241274404472142).

The spelling of 241132400241000 in words is "two hundred forty-one trillion, one hundred thirty-two billion, four hundred million, two hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 80377466747 160754933494 241132400241 321509866988 401887333735 482264800482 643019733976 803774667470 964529600964 1205662001205 1607549334940 1929059201928 2009436668675 2411324002410 3215098669880 4018873337350 4822648004820 6028310006025 8037746674700 9645296009640 10047183343375 12056620012050 16075493349400 20094366686750 24113240024100 30141550030125 40188733373500 48226480048200 60283100060250 80377466747000 120566200120500 241132400241000