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20242023444 = 2238771301
BaseRepresentation
bin10010110110100001…
…001100010000010100
31221020200221100000000
4102312201030100110
5312423424222234
613144332451300
71314421234416
oct226641142024
957220840000
1020242023444
1186481048a5
123b0b019b30
131ba7886786
14da04c69b6
157d7126899
hex4b684c414

20242023444 has 54 divisors (see below), whose sum is σ = 53132680874. Its totient is φ = 6747332400.

The previous prime is 20242023443. The next prime is 20242023457. The reversal of 20242023444 is 44432024202.

20242023444 is a `hidden beast` number, since 2 + 0 + 2 + 420 + 234 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15722150544 + 4519872900 = 125388^2 + 67230^2 .

It is a tau number, because it is divible by the number of its divisors (54).

It is a super-2 number, since 2×202420234442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20242023443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 359407 + ... + 411894.

Almost surely, 220242023444 is an apocalyptic number.

It is an amenable number.

20242023444 is an abundant number, since it is smaller than the sum of its proper divisors (32890657430).

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

20242023444 is an frugal number, since it uses more digits than its factorization.

20242023444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771329 (or 771306 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 20242023444 its reverse (44432024202), we get a palindrome (64674047646).

The spelling of 20242023444 in words is "twenty billion, two hundred forty-two million, twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 6561 8748 13122 26244 771301 1542602 2313903 3085204 4627806 6941709 9255612 13883418 20825127 27766836 41650254 62475381 83300508 124950762 187426143 249901524 374852286 562278429 749704572 1124556858 1686835287 2249113716 3373670574 5060505861 6747341148 10121011722 20242023444