Search a number
-
+
541455363554145 = 35172390238883473
BaseRepresentation
bin111101100011100110110011…
…0100110110011101101100001
32122000010121221020210101221020
41323013031212212303231201
51031432201041032213040
65155325054325520053
7222022600444230345
oct17307154646635541
92560117836711836
10541455363554145
11147584a26017857
1250889815873029
131a3180388842c1
14979c817d2b625
15428e76ae3acd0
hex1ec73669b3b61

541455363554145 has 32 divisors (see below), whose sum is σ = 917293027410432. Its totient is φ = 271788191281152.

The previous prime is 541455363554137. The next prime is 541455363554167.

541455363554145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 541455363554145 - 23 = 541455363554137 is a prime.

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, 56509129 + ... + 65392601.

It is an arithmetic number, because the mean of its divisors is an integer number (28665407106576).

Almost surely, 2541455363554145 is an apocalyptic number.

It is an amenable number.

541455363554145 is a deficient number, since it is larger than the sum of its proper divisors (375837663856287).

541455363554145 is a wasteful number, since it uses less digits than its factorization.

541455363554145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9122521.

The product of its digits is 216000000, while the sum is 60.

The spelling of 541455363554145 in words is "five hundred forty-one trillion, four hundred fifty-five billion, three hundred sixty-three million, five hundred fifty-four thousand, one hundred forty-five".

Divisors: 1 3 5 15 17 51 85 255 239023 717069 1195115 3585345 4063391 8883473 12190173 20316955 26650419 44417365 60950865 133252095 151019041 453057123 755095205 2265285615 2123354366879 6370063100637 10616771834395 31850315503185 36097024236943 108291072710829 180485121184715 541455363554145