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541094101490145 = 3572736182451007
BaseRepresentation
bin111101100000111110100100…
…1101101011001100111100001
32121221212002110021111002002210
41323001331021231121213201
51031410241204440141040
65154451110522032333
7221654521153320300
oct17301751155314741
92557762407432083
10541094101490145
111474557a0aa70a5
125082b7b39486a9
131a2bcc549b37a8
14978914688c437
15428517532e480
hex1ec1f49b599e1

541094101490145 has 24 divisors (see below), whose sum is σ = 1007097592978944. Its totient is φ = 247357303538016.

The previous prime is 541094101490099. The next prime is 541094101490167.

It is a happy number.

541094101490145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 541094101490145 - 216 = 541094101424609 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 541094101490094 and 541094101490103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 368091224769 + ... + 368091226238.

It is an arithmetic number, because the mean of its divisors is an integer number (41962399707456).

Almost surely, 2541094101490145 is an apocalyptic number.

It is an amenable number.

541094101490145 is a deficient number, since it is larger than the sum of its proper divisors (466003491488799).

541094101490145 is a wasteful number, since it uses less digits than its factorization.

541094101490145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736182451029 (or 736182451022 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

It can be divided in two parts, 54109410 and 1490145, that added together give a palindrome (55599555).

The spelling of 541094101490145 in words is "five hundred forty-one trillion, ninety-four billion, one hundred one million, four hundred ninety thousand, one hundred forty-five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 735 736182451007 2208547353021 3680912255035 5153277157049 11042736765105 15459831471147 25766385785245 36072940099343 77299157355735 108218820298029 180364700496715 541094101490145