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541400412641 = 1197507404323
BaseRepresentation
bin1111110000011011111…
…10101011000111100001
31220202110010101120201212
413320031332223013201
532332242001201031
61052414345435505
754054256402004
oct7701576530741
91822403346655
10541400412641
11199674467260
1288b15a9bb95
133c09139486a
141c2bd7ad53b
15e13a54212b
hex7e0dfab1e1

541400412641 has 8 divisors (see below), whose sum is σ = 596707485024. Its totient is φ = 487108149120.

The previous prime is 541400412613. The next prime is 541400412647. The reversal of 541400412641 is 146214004145.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-541400412641 is a prime.

It is a super-2 number, since 2×5414004126412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 541400412598 and 541400412607.

It is not an unprimeable number, because it can be changed into a prime (541400412647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253701095 + ... + 253703228.

It is an arithmetic number, because the mean of its divisors is an integer number (74588435628).

Almost surely, 2541400412641 is an apocalyptic number.

It is an amenable number.

541400412641 is a deficient number, since it is larger than the sum of its proper divisors (55307072383).

541400412641 is a wasteful number, since it uses less digits than its factorization.

541400412641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507404431.

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 541400412641 its reverse (146214004145), we get a palindrome (687614416786).

The spelling of 541400412641 in words is "five hundred forty-one billion, four hundred million, four hundred twelve thousand, six hundred forty-one".

Divisors: 1 11 97 1067 507404323 5581447553 49218219331 541400412641