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404422204020 = 2235149111740499
BaseRepresentation
bin1011110001010010111…
…00010001101001110100
31102122212212201121110220
411320221130101221310
523111224041012040
6505442231214340
741134650005052
oct5705134215164
91378785647426
10404422204020
1114657287776a
12664682173b0
132c1a1876a03
141580761b1d2
15a7bec6b2d0
hex5e29711a74

404422204020 has 96 divisors (see below), whose sum is σ = 1141030800000. Its totient is φ = 107023578624.

The previous prime is 404422204009. The next prime is 404422204027. The reversal of 404422204020 is 20402224404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404422204027) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9965731 + ... + 10006229.

It is an arithmetic number, because the mean of its divisors is an integer number (11885737500).

Almost surely, 2404422204020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404422204020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570515400000).

404422204020 is an abundant number, since it is smaller than the sum of its proper divisors (736608595980).

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

404422204020 is a wasteful number, since it uses less digits than its factorization.

404422204020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41777 (or 41775 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 404422204020 its reverse (20402224404), we get a palindrome (424824428424).

The spelling of 404422204020 in words is "four hundred four billion, four hundred twenty-two million, two hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 447 596 745 894 1117 1490 1788 2234 2235 2980 3351 4468 4470 5585 6702 8940 11170 13404 16755 22340 33510 40499 67020 80998 121497 161996 166433 202495 242994 332866 404990 485988 499299 607485 665732 809980 832165 998598 1214970 1664330 1997196 2429940 2496495 3328660 4992990 6034351 9985980 12068702 18103053 24137404 30171755 36206106 45237383 60343510 72412212 90474766 90515265 120687020 135712149 180949532 181030530 226186915 271424298 362061060 452373830 542848596 678560745 904747660 1357121490 2714242980 6740370067 13480740134 20221110201 26961480268 33701850335 40442220402 67403700670 80884440804 101105551005 134807401340 202211102010 404422204020