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20442242430 = 233575712009
BaseRepresentation
bin10011000010011100…
…111101110101111110
31221202122200111211000
4103002130331311332
5313331203224210
613220244111130
71322402123301
oct230234756576
957678614730
1020442242430
118740127335
123b660954a6
131c0a1b964c
14dbcd24b38
157e99c5ac0
hex4c273dd7e

20442242430 has 32 divisors (see below), whose sum is σ = 54512647200. Its totient is φ = 5451264576.

The previous prime is 20442242417. The next prime is 20442242449. The reversal of 20442242430 is 3424224402.

20442242430 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 224 + 2 + 430 = 666.

It is a super-3 number, since 3×204422424303 (a number of 32 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20442242394 and 20442242403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37855735 + ... + 37856274.

It is an arithmetic number, because the mean of its divisors is an integer number (1703520225).

Almost surely, 220442242430 is an apocalyptic number.

20442242430 is an abundant number, since it is smaller than the sum of its proper divisors (34070404770).

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

20442242430 is a wasteful number, since it uses less digits than its factorization.

20442242430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75712025 (or 75712019 counting only the distinct ones).

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

Adding to 20442242430 its reverse (3424224402), we get a palindrome (23866466832).

The spelling of 20442242430 in words is "twenty billion, four hundred forty-two million, two hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 75712009 151424018 227136027 378560045 454272054 681408081 757120090 1135680135 1362816162 2044224243 2271360270 3407040405 4088448486 6814080810 10221121215 20442242430