Search a number
-
+
105444322205232 = 24313873158347633
BaseRepresentation
bin10111111110011010101011…
…010111100101111000110000
3111211100101020010001100010110
4113332122223113211320300
5102310044432441031412
61012132241454101320
731132046413264563
oct2776325327457060
9454311203040113
10105444322205232
113066375aa5890a
12b9ab9961aa840
1346ab4841c338a
141c07764d924da
15c2ccaea8ed3c
hex5fe6ab5e5e30

105444322205232 has 40 divisors (see below), whose sum is σ = 272417469190384. Its totient is φ = 35145573617664.

The previous prime is 105444322205213. The next prime is 105444322205263. The reversal of 105444322205232 is 232502223444501.

It is a super-2 number, since 2×1054443222052322 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78507913 + ... + 79839720.

Almost surely, 2105444322205232 is an apocalyptic number.

105444322205232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105444322205232 is an abundant number, since it is smaller than the sum of its proper divisors (166973146985152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105444322205232 is a wasteful number, since it uses less digits than its factorization.

105444322205232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158361517 (or 158361511 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

Adding to 105444322205232 its reverse (232502223444501), we get a palindrome (337946545649733).

The spelling of 105444322205232 in words is "one hundred five trillion, four hundred forty-four billion, three hundred twenty-two million, two hundred five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 13873 27746 41619 55492 83238 110984 166476 221968 332952 665904 158347633 316695266 475042899 633390532 950085798 1266781064 1900171596 2533562128 3800343192 7600686384 2196756712609 4393513425218 6590270137827 8787026850436 13180540275654 17574053700872 26361080551308 35148107401744 52722161102616 105444322205232