Search a number
-
+
424412403000 = 233531011400701
BaseRepresentation
bin1100010110100001111…
…00110101010100111000
31111120111000210221020220
412023100330311110320
523423144033344000
6522550010420040
742443222621415
oct6132074652470
91446430727226
10424412403000
11153aa0812073
126a306a31620
13310391cc511
14167824b110c
15b08ebed1a0
hex62d0f35538

424412403000 has 128 divisors (see below), whose sum is σ = 1337278213440. Its totient is φ = 112056000000.

The previous prime is 424412402993. The next prime is 424412403031. The reversal of 424412403000 is 304214424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 397351 + ... + 1003350.

Almost surely, 2424412403000 is an apocalyptic number.

424412403000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424412403000 is an abundant number, since it is smaller than the sum of its proper divisors (912865810440).

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

424412403000 is a wasteful number, since it uses less digits than its factorization.

424412403000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400826 (or 1400812 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 424412403000 its reverse (304214424), we get a palindrome (424716617424).

The spelling of 424412403000 in words is "four hundred twenty-four billion, four hundred twelve million, four hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 101 120 125 150 200 202 250 300 303 375 404 500 505 600 606 750 808 1000 1010 1212 1500 1515 2020 2424 2525 3000 3030 4040 5050 6060 7575 10100 12120 12625 15150 20200 25250 30300 37875 50500 60600 75750 101000 151500 303000 1400701 2801402 4202103 5602804 7003505 8404206 11205608 14007010 16808412 21010515 28014020 33616824 35017525 42021030 56028040 70035050 84042060 105052575 140070100 141470801 168084120 175087625 210105150 280140200 282941602 350175250 420210300 424412403 525262875 565883204 700350500 707354005 840420600 848824806 1050525750 1131766408 1400701000 1414708010 1697649612 2101051500 2122062015 2829416020 3395299224 3536770025 4202103000 4244124030 5658832040 7073540050 8488248060 10610310075 14147080100 16976496120 17683850125 21220620150 28294160200 35367700250 42441240300 53051550375 70735400500 84882480600 106103100750 141470801000 212206201500 424412403000