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1003024434420 = 223258367136843
BaseRepresentation
bin11101001100010001110…
…10100100010011110100
310112212222111102121112200
432212020322210103310
5112413143223400140
62044441050344500
7132315611010051
oct16461072442364
93485874377480
101003024434420
11357420165278
12142486a2b130
137377aa569c8
1436791db0028
151b157035030
hexe988ea44f4

1003024434420 has 72 divisors (see below), whose sum is σ = 3079164213216. Its totient is φ = 264250610112.

The previous prime is 1003024434407. The next prime is 1003024434421. The reversal of 1003024434420 is 244344203001.

It is a happy number.

1003024434420 is a `hidden beast` number, since 10 + 0 + 302 + 4 + 4 + 344 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003024434421) 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 23 ways as a sum of consecutive naturals, for example, 33553482 + ... + 33583361.

It is an arithmetic number, because the mean of its divisors is an integer number (42766169628).

Almost surely, 21003024434420 is an apocalyptic number.

1003024434420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003024434420 is an abundant number, since it is smaller than the sum of its proper divisors (2076139778796).

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

1003024434420 is a wasteful number, since it uses less digits than its factorization.

1003024434420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67136941 (or 67136936 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 1003024434420 its reverse (244344203001), we get a palindrome (1247368637421).

The spelling of 1003024434420 in words is "one trillion, three billion, twenty-four million, four hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1245 1494 1660 2490 2988 3735 4980 7470 14940 67136843 134273686 201410529 268547372 335684215 402821058 604231587 671368430 805642116 1007052645 1208463174 1342736860 2014105290 2416926348 3021157935 4028210580 5572357969 6042315870 11144715938 12084631740 16717073907 22289431876 27861789845 33434147814 50151221721 55723579690 66868295628 83585369535 100302443442 111447159380 167170739070 200604886884 250756108605 334341478140 501512217210 1003024434420