Search a number
-
+
403131140212000 = 2553137597732449
BaseRepresentation
bin101101110101001010100100…
…0011010010000010100100000
31221212100221221021222102000211
41123222111020122100110200
5410314400033343241000
63545215520020223504
7150625156314410134
oct13352251032202440
91855327837872024
10403131140212000
111074a4a58051672
123926962323ab94
13143c3146242325
1471799192153c4
1531915758617ba
hex16ea548690520

403131140212000 has 96 divisors (see below), whose sum is σ = 990501762322800. Its totient is φ = 161251064012800.

The previous prime is 403131140211887. The next prime is 403131140212013. The reversal of 403131140212000 is 212041131304.

It can be written as a sum of positive squares in 8 ways, for example, as 5268916249744 + 397862223962256 = 2295412^2 + 19946484^2 .

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 15 ways as a sum of consecutive naturals, for example, 550021776 + ... + 550754224.

Almost surely, 2403131140212000 is an apocalyptic number.

403131140212000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

403131140212000 is an abundant number, since it is smaller than the sum of its proper divisors (587370622110800).

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

403131140212000 is a wasteful number, since it uses less digits than its factorization.

403131140212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870071 (or 870053 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 403131140212000 its reverse (212041131304), we get a palindrome (403343181343304).

The spelling of 403131140212000 in words is "four hundred three trillion, one hundred thirty-one billion, one hundred forty million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 137597 275194 550388 687985 732449 1100776 1375970 1464898 2201552 2751940 2929796 3439925 3662245 4403104 5503880 5859592 6879850 7324490 11007760 11719184 13759700 14648980 17199625 18311225 22015520 23438368 27519400 29297960 34399250 36622450 55038800 58595920 68798500 73244900 91556125 110077600 117191840 137597000 146489800 183112250 275194000 292979600 366224500 550388000 585959200 732449000 1464898000 2929796000 100782785053 201565570106 403131140212 503913925265 806262280424 1007827850530 1612524560848 2015655701060 2519569626325 3225049121696 4031311402120 5039139252650 8062622804240 10078278505300 12597848131625 16125245608480 20156557010600 25195696263250 40313114021200 50391392526500 80626228042400 100782785053000 201565570106000 403131140212000