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241045154212420 = 225106911274329009
BaseRepresentation
bin110110110011101010110010…
…110010101010101001000100
31011121110200200020121011002201
4312303222302302222221010
5223043240433434244140
62212354340511444244
7101525636425531465
oct6663526262525104
91147420606534081
10241045154212420
116a893748578438
12230501ba526684
13a4665ca97865c
14437490d478d6c
151cd020e77349a
hexdb3ab2caaa44

241045154212420 has 24 divisors (see below), whose sum is σ = 506668345709400. Its totient is φ = 96327867044352.

The previous prime is 241045154212417. The next prime is 241045154212441. The reversal of 241045154212420 is 24212451540142.

It is a happy number.

241045154212420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 75826059489856 + 165219094722564 = 8707816^2 + 12853758^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 241045154212420.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5637143125 + ... + 5637185884.

It is an arithmetic number, because the mean of its divisors is an integer number (21111181071225).

Almost surely, 2241045154212420 is an apocalyptic number.

241045154212420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241045154212420 is an abundant number, since it is smaller than the sum of its proper divisors (265623191496980).

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

241045154212420 is a wasteful number, since it uses less digits than its factorization.

241045154212420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11274330087 (or 11274330085 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 37.

The spelling of 241045154212420 in words is "two hundred forty-one trillion, forty-five billion, one hundred fifty-four million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1069 2138 4276 5345 10690 21380 11274329009 22548658018 45097316036 56371645045 112743290090 225486580180 12052257710621 24104515421242 48209030842484 60261288553105 120522577106210 241045154212420