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20442214304 = 251970147963
BaseRepresentation
bin10011000010011100…
…110110111110100000
31221202122122002020022
4103002130312332200
5313331201324204
613220243333012
71322401645301
oct230234667640
957678562208
1020442214304
118740108196
123b66081168
131c0a1a98c5
14dbcd187a8
157e99bc5be
hex4c2736fa0

20442214304 has 48 divisors (see below), whose sum is σ = 42425117280. Its totient is φ = 9669139200.

The previous prime is 20442214253. The next prime is 20442214307. The reversal of 20442214304 is 40341224402.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20442214307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 402227 + ... + 450189.

It is an arithmetic number, because the mean of its divisors is an integer number (883856610).

Almost surely, 220442214304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20442214304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21212558640).

20442214304 is an abundant number, since it is smaller than the sum of its proper divisors (21982902976).

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

20442214304 is a wasteful number, since it uses less digits than its factorization.

20442214304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48693 (or 48685 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 20442214304 its reverse (40341224402), we get a palindrome (60783438706).

The spelling of 20442214304 in words is "twenty billion, four hundred forty-two million, two hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 701 1402 2804 5608 11216 13319 22432 26638 47963 53276 95926 106552 191852 213104 383704 426208 767408 911297 1534816 1822594 3645188 7290376 14580752 29161504 33622063 67244126 134488252 268976504 537953008 638819197 1075906016 1277638394 2555276788 5110553576 10221107152 20442214304