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541341423000 = 233253716635167
BaseRepresentation
bin1111110000010100111…
…01101001010110011000
31220202022000101121011100
413320022131221112120
532332131401014000
61052404441231400
754052642113360
oct7701235512630
91822260347140
10541341423000
11199644136494
1288aba192560
133c0820ac751
141c2b5a159a0
15e13528da00
hex7e0a769598

541341423000 has 384 divisors, whose sum is σ = 2092786974720. Its totient is φ = 123636844800.

The previous prime is 541341422983. The next prime is 541341423059. The reversal of 541341423000 is 324143145.

It is a happy number.

541341423000 is a `hidden beast` number, since 5 + 4 + 13 + 414 + 230 + 0 + 0 = 666.

541341423000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104766417 + ... + 104771583.

It is an arithmetic number, because the mean of its divisors is an integer number (5449966080).

Almost surely, 2541341423000 is an apocalyptic number.

541341423000 is a gapful number since it is divisible by the number (50) 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 541341423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046393487360).

541341423000 is an abundant number, since it is smaller than the sum of its proper divisors (1551445551720).

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

541341423000 is a wasteful number, since it uses less digits than its factorization.

541341423000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6864 (or 6847 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 541341423000 its reverse (324143145), we get a palindrome (541665566145).

The spelling of 541341423000 in words is "five hundred forty-one billion, three hundred forty-one million, four hundred twenty-three thousand".