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20242324144 = 2472161316007
BaseRepresentation
bin10010110110100010…
…010101101010110000
31221020201111121111001
4102312202111222300
5312424013333034
613144343131344
71314423626200
oct226642255260
957221447431
1020242324144
11864829a809
123b0b143b54
131ba79605c3
14da0564400
157d7185a14
hex4b6895ab0

20242324144 has 60 divisors (see below), whose sum is σ = 45653823504. Its totient is φ = 8669361792.

The previous prime is 20242324121. The next prime is 20242324153. The reversal of 20242324144 is 44142324202.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1256589 + ... + 1272595.

Almost surely, 220242324144 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 20242324144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22826911752).

20242324144 is an abundant number, since it is smaller than the sum of its proper divisors (25411499360).

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

20242324144 is a wasteful number, since it uses less digits than its factorization.

20242324144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17642 (or 17629 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 20242324144 its reverse (44142324202), we get a palindrome (64384648346).

The spelling of 20242324144 in words is "twenty billion, two hundred forty-two million, three hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 1613 3226 6452 11291 12904 16007 22582 25808 32014 45164 64028 79037 90328 112049 128056 158074 180656 224098 256112 316148 448196 632296 784343 896392 1264592 1568686 1792784 3137372 6274744 12549488 25819291 51638582 103277164 180735037 206554328 361470074 413108656 722940148 1265145259 1445880296 2530290518 2891760592 5060581036 10121162072 20242324144