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20438133444 = 2232238272
BaseRepresentation
bin10011000010001101…
…010010101011000100
31221202100221202100100
4103002031102223010
5313324130232234
613220020044100
71322322160611
oct230215225304
957670852310
1020438133444
118738880183
123b64833630
131c093ab2b1
14dbc575508
157e9463399
hex4c2352ac4

20438133444 has 27 divisors (see below), whose sum is σ = 51665227887. Its totient is φ = 6812425224.

The previous prime is 20438133433. The next prime is 20438133449. The reversal of 20438133444 is 44433183402.

The square root of 20438133444 is 142962.

It is a perfect power (a square), and thus also a powerful number.

20438133444 is a `hidden beast` number, since 204 + 3 + 8 + 1 + 3 + 3 + 444 = 666.

It is a super-2 number, since 2×204381334442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20438133399 and 20438133408.

It is not an unprimeable number, because it can be changed into a prime (20438133449) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 845859 + ... + 869685.

Almost surely, 220438133444 is an apocalyptic number.

20438133444 is the 142962-nd square number.

It is an amenable number.

20438133444 is an abundant number, since it is smaller than the sum of its proper divisors (31227094443).

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

20438133444 is an frugal number, since it uses more digits than its factorization.

20438133444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47664 (or 23832 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Multiplying 20438133444 by its sum of digits (36), we get a square (735772803984 = 8577722).

20438133444 divided by its sum of digits (36) gives a square (567725929 = 238272).

The spelling of 20438133444 in words is "twenty billion, four hundred thirty-eight million, one hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 23827 47654 71481 95308 142962 214443 285924 428886 857772 567725929 1135451858 1703177787 2270903716 3406355574 5109533361 6812711148 10219066722 20438133444