Search a number
-
+
458242404242854 = 271110459284501389
BaseRepresentation
bin110100000110001001101111…
…1101110011101010110100110
32020002111112202001011012022111
41220030103133232131112212
5440030320420441232404
64302333353200351234
7165343630650425140
oct15014233756352646
92202445661135274
10458242404242854
1112301256a927420
124348a54601551a
13168900c50794ba
14812309d1c5c90
1537e9e0ac73104
hex1a0c4dfb9d5a6

458242404242854 has 32 divisors (see below), whose sum is σ = 857054747347200. Its totient is φ = 178518930942240.

The previous prime is 458242404242851. The next prime is 458242404242869.

458242404242854 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4582424042428542 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458242404242851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140640009 + ... + 143861380.

It is an arithmetic number, because the mean of its divisors is an integer number (26782960854600).

Almost surely, 2458242404242854 is an apocalyptic number.

458242404242854 is a deficient number, since it is larger than the sum of its proper divisors (398812343104346).

458242404242854 is a wasteful number, since it uses less digits than its factorization.

458242404242854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284511868.

The product of its (nonzero) digits is 104857600, while the sum is 58.

The spelling of 458242404242854 in words is "four hundred fifty-eight trillion, two hundred forty-two billion, four hundred four million, two hundred forty-two thousand, eight hundred fifty-four".

Divisors: 1 2 7 11 14 22 77 154 10459 20918 73213 115049 146426 230098 805343 1610686 284501389 569002778 1991509723 3129515279 3983019446 6259030558 21906606953 43813213906 2975600027551 5951200055102 20829200192857 32731600303061 41658400385714 65463200606122 229121202121427 458242404242854