Search a number
-
+
541341301005 = 33531712649639
BaseRepresentation
bin1111110000010100111…
…01001011100100001101
31220202022000011101211000
413320022131023210031
532332131333113010
61052404434450513
754052641064611
oct7701235134415
91822260141730
10541341301005
1119964406286a
1288aba133a39
133c08206906b
141c2b59c3341
15e1352677c0
hex7e0a74b90d

541341301005 has 32 divisors (see below), whose sum is σ = 965420524800. Its totient is φ = 287804563776.

The previous prime is 541341300991. The next prime is 541341301019. The reversal of 541341301005 is 500103143145.

It is a happy number.

541341301005 is a `hidden beast` number, since 541 + 3 + 4 + 13 + 0 + 100 + 5 = 666.

541341301005 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (541341300991) and next prime (541341301019).

It is not a de Polignac number, because 541341301005 - 220 = 541340252429 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 541341301005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6282025 + ... + 6367614.

It is an arithmetic number, because the mean of its divisors is an integer number (30169391400).

Almost surely, 2541341301005 is an apocalyptic number.

It is an amenable number.

541341301005 is a deficient number, since it is larger than the sum of its proper divisors (424079223795).

541341301005 is a wasteful number, since it uses less digits than its factorization.

541341301005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12649970 (or 12649964 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 541341301005 in words is "five hundred forty-one billion, three hundred forty-one million, three hundred one thousand, five".

Divisors: 1 3 5 9 15 27 45 135 317 951 1585 2853 4755 8559 14265 42795 12649639 37948917 63248195 113846751 189744585 341540253 569233755 1707701265 4009935563 12029806689 20049677815 36089420067 60149033445 108268260201 180447100335 541341301005