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20144113002 = 23213181475613
BaseRepresentation
bin10010110000101011…
…101100010101101010
31220222212200222010100
4102300223230111222
5312223343104002
613130514130230
71312122064266
oct226053542552
956885628110
1020144113002
1185a7910282
123aa2280976
131b904c50c0
14d914bb0a6
157cd73611c
hex4b0aec56a

20144113002 has 48 divisors (see below), whose sum is σ = 47262714408. Its totient is φ = 6163931520.

The previous prime is 20144112983. The next prime is 20144113043. The reversal of 20144113002 is 20031144102.

It can be written as a sum of positive squares in 4 ways, for example, as 4341360321 + 15802752681 = 65889^2 + 125709^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 195453 + ... + 280160.

Almost surely, 220144113002 is an apocalyptic number.

20144113002 is an abundant number, since it is smaller than the sum of its proper divisors (27118601406).

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

20144113002 is a wasteful number, since it uses less digits than its factorization.

20144113002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475815 (or 475812 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20144113002 its reverse (20031144102), we get a palindrome (40175257104).

The spelling of 20144113002 in words is "twenty billion, one hundred forty-four million, one hundred thirteen thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 181 234 362 543 1086 1629 2353 3258 4706 7059 14118 21177 42354 475613 951226 1426839 2853678 4280517 6182969 8561034 12365938 18548907 37097814 55646721 86085953 111293442 172171906 258257859 516515718 774773577 1119117389 1549547154 2238234778 3357352167 6714704334 10072056501 20144113002