Search a number
-
+
2231076234042 = 2327391151145721
BaseRepresentation
bin100000011101110110100…
…000011010001100111010
321220021210112112210101200
4200131312200122030322
5243023221003442132
64424535310355030
7320122102041345
oct40356640321472
97807715483350
102231076234042
11790215408637
12300492abba76
1313250abc79c6
1479dadccd45c
153d07e7b9d7c
hex2077681a33a

2231076234042 has 48 divisors (see below), whose sum is σ = 4844778531840. Its totient is φ = 742035384000.

The previous prime is 2231076234017. The next prime is 2231076234083. The reversal of 2231076234042 is 2404326701322.

2231076234042 is a `hidden beast` number, since 2 + 2 + 310 + 76 + 234 + 0 + 42 = 666.

It is a super-3 number, since 3×22310762340423 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2231076233988 and 2231076234006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15237742 + ... + 15383462.

It is an arithmetic number, because the mean of its divisors is an integer number (100932886080).

Almost surely, 22231076234042 is an apocalyptic number.

2231076234042 is an abundant number, since it is smaller than the sum of its proper divisors (2613702297798).

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

2231076234042 is a wasteful number, since it uses less digits than its factorization.

2231076234042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147619 (or 147616 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 2231076234042 in words is "two trillion, two hundred thirty-one billion, seventy-six million, two hundred thirty-four thousand, forty-two".

Divisors: 1 2 3 6 9 18 739 1151 1478 2217 2302 3453 4434 6651 6906 10359 13302 20718 145721 291442 437163 850589 874326 1311489 1701178 2551767 2622978 5103534 7655301 15310602 107687819 167724871 215375638 323063457 335449742 503174613 646126914 969190371 1006349226 1509523839 1938380742 3019047678 123948679669 247897359338 371846039007 743692078014 1115538117021 2231076234042