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241254252322420 = 22573165242638577
BaseRepresentation
bin110110110110101101100010…
…000000101001111001110100
31011122012200101122120201020011
4312312231202000221321310
5223110202202043304140
62213034401245550004
7101550021163250521
oct6666554200517164
91148180348521204
10241254252322420
116a964398a50307
1223084834b75304
13a480241b7926c
144380aa79d0148
151cd589b803cea
hexdb6b62029e74

241254252322420 has 24 divisors (see below), whose sum is σ = 513574120700424. Its totient is φ = 95179759819776.

The previous prime is 241254252322399. The next prime is 241254252322463. The reversal of 241254252322420 is 24223252452142.

241254252322420 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 81428930344804 + 159825321977616 = 9023798^2 + 12642204^2 .

It is a super-2 number, since 2×2412542523224202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 82621317829 + ... + 82621320748.

It is an arithmetic number, because the mean of its divisors is an integer number (21398921695851).

Almost surely, 2241254252322420 is an apocalyptic number.

241254252322420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241254252322420 is an abundant number, since it is smaller than the sum of its proper divisors (272319868378004).

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

241254252322420 is a wasteful number, since it uses less digits than its factorization.

241254252322420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165242638659 (or 165242638657 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 40.

The spelling of 241254252322420 in words is "two hundred forty-one trillion, two hundred fifty-four billion, two hundred fifty-two million, three hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 165242638577 330485277154 660970554308 826213192885 1652426385770 3304852771540 12062712616121 24125425232242 48250850464484 60313563080605 120627126161210 241254252322420