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241426421517440 = 275377228783621
BaseRepresentation
bin110110111001001101111000…
…000110000000110010000000
31011122211010210102022000111202
4312321031320012000302000
5223121012302402024230
62213245433353200332
7101565324534254435
oct6671157006006200
91148733712260452
10241426421517440
116aa20408a77835
12230b20841000a8
13a49354c33a4a3
14438915b7a5b8c
151cda0c67d3a45
hexdb9378180c80

241426421517440 has 32 divisors (see below), whose sum is σ = 577160038941660. Its totient is φ = 96570568606720.

The previous prime is 241426421517431. The next prime is 241426421517571. The reversal of 241426421517440 is 44715124624142.

It can be written as a sum of positive squares in 2 ways, for example, as 214137332098624 + 27289089418816 = 14633432^2 + 5223896^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 188614391171 + ... + 188614392450.

Almost surely, 2241426421517440 is an apocalyptic number.

241426421517440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241426421517440 is an abundant number, since it is smaller than the sum of its proper divisors (335733617424220).

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

241426421517440 is an equidigital number, since it uses as much as digits as its factorization.

241426421517440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377228783640 (or 377228783628 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 47.

The spelling of 241426421517440 in words is "two hundred forty-one trillion, four hundred twenty-six billion, four hundred twenty-one million, five hundred seventeen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 377228783621 754457567242 1508915134484 1886143918105 3017830268968 3772287836210 6035660537936 7544575672420 12071321075872 15089151344840 24142642151744 30178302689680 48285284303488 60356605379360 120713210758720 241426421517440