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413020200440 = 23537279067703
BaseRepresentation
bin1100000001010011110…
…11000001110111111000
31110111002002101002020202
412000221323001313320
523231331132403230
6513423332141332
741561011531031
oct6005173016770
91414062332222
10413020200440
1114a185154731
1268067767848
132cc41c63763
1415dc14a9a88
15ab249daa45
hex6029ec1df8

413020200440 has 32 divisors (see below), whose sum is σ = 954411547680. Its totient is φ = 160742996352.

The previous prime is 413020200427. The next prime is 413020200449. The reversal of 413020200440 is 44002020314.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413020200449) 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 7 ways as a sum of consecutive naturals, for example, 139532372 + ... + 139535331.

It is an arithmetic number, because the mean of its divisors is an integer number (29825360865).

Almost surely, 2413020200440 is an apocalyptic number.

413020200440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413020200440 is an abundant number, since it is smaller than the sum of its proper divisors (541391347240).

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

413020200440 is a wasteful number, since it uses less digits than its factorization.

413020200440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279067751 (or 279067747 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 413020200440 its reverse (44002020314), we get a palindrome (457022220754).

The spelling of 413020200440 in words is "four hundred thirteen billion, twenty million, two hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 279067703 558135406 1116270812 1395338515 2232541624 2790677030 5581354060 10325505011 11162708120 20651010022 41302020044 51627525055 82604040088 103255050110 206510100220 413020200440