Search a number
-
+
20144131444 = 22151223347431
BaseRepresentation
bin10010110000101011…
…110000110101110100
31220222212201220102101
4102300223300311310
5312223344201234
613130514351444
71312122202123
oct226053606564
956885656371
1020144131444
1185a7923118
123aa228b584
131b90500608
14d914c3aba
157cd73b814
hex4b0af0d74

20144131444 has 48 divisors (see below), whose sum is σ = 35830480896. Its totient is φ = 9908748000.

The previous prime is 20144131433. The next prime is 20144131459. The reversal of 20144131444 is 44413144102.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 46737909 + ... + 46738339.

It is an arithmetic number, because the mean of its divisors is an integer number (746468352).

Almost surely, 220144131444 is an apocalyptic number.

It is an amenable number.

20144131444 is a deficient number, since it is larger than the sum of its proper divisors (15686349452).

20144131444 is a wasteful number, since it uses less digits than its factorization.

20144131444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 20144131444 its reverse (44413144102), we get a palindrome (64557275546).

The spelling of 20144131444 in words is "twenty billion, one hundred forty-four million, one hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 4 151 223 302 347 431 446 604 694 862 892 1388 1724 33673 52397 65081 67346 77381 96113 104794 130162 134692 149557 154762 192226 209588 260324 299114 309524 384452 598228 11684531 14513063 22583107 23369062 29026126 33351211 45166214 46738124 58052252 66702422 90332428 133404844 5036032861 10072065722 20144131444