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20412413140 = 2257231671903
BaseRepresentation
bin10011000000101011…
…001011010011010100
31221200120120000201111
4103000223023103110
5313301034210030
613213300504404
71321560435400
oct230053132324
957616500644
1020412413140
118725303129
123b580ab104
131c03c74292
14db8d9c100
157e708262a
hex4c0acb4d4

20412413140 has 72 divisors (see below), whose sum is σ = 51473221632. Its totient is φ = 6772772160.

The previous prime is 20412413107. The next prime is 20412413141. The reversal of 20412413140 is 4131421402.

It is a happy number.

It is a super-4 number, since 4×204124131404 (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20412413141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305572 + ... + 366331.

It is an arithmetic number, because the mean of its divisors is an integer number (714905856).

Almost surely, 220412413140 is an apocalyptic number.

20412413140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20412413140 is an abundant number, since it is smaller than the sum of its proper divisors (31060808492).

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

20412413140 is a wasteful number, since it uses less digits than its factorization.

20412413140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671957 (or 671948 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 20412413140 its reverse (4131421402), we get a palindrome (24543834542).

The spelling of 20412413140 in words is "twenty billion, four hundred twelve million, four hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 124 140 155 196 217 245 310 434 490 620 868 980 1085 1519 2170 3038 4340 6076 7595 15190 30380 671903 1343806 2687612 3359515 4703321 6719030 9406642 13438060 18813284 20828993 23516605 32923247 41657986 47033210 65846494 83315972 94066420 104144965 131692988 145802951 164616235 208289930 291605902 329232470 416579860 583211804 658464940 729014755 1020620657 1458029510 2041241314 2916059020 4082482628 5103103285 10206206570 20412413140