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20044442430 = 23252926329201
BaseRepresentation
bin10010101010101111…
…011110101100111110
31220201221011011210200
4102222233132230332
5312022334124210
613112553544330
71306501643445
oct225257365476
956657134720
1020044442430
118556624301
123a74a150a6
131b7596852c
14d82173d5c
157c4ae90c0
hex4aabdeb3e

20044442430 has 96 divisors (see below), whose sum is σ = 54119482560. Its totient is φ = 5141068800.

The previous prime is 20044442423. The next prime is 20044442471. The reversal of 20044442430 is 3424444002.

It is a happy number.

20044442430 is a `hidden beast` number, since 200 + 4 + 4 + 4 + 424 + 30 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20044442394 and 20044442403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 671830 + ... + 701030.

It is an arithmetic number, because the mean of its divisors is an integer number (563744610).

Almost surely, 220044442430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20044442430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27059741280).

20044442430 is an abundant number, since it is smaller than the sum of its proper divisors (34075040130).

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

20044442430 is a wasteful number, since it uses less digits than its factorization.

20044442430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29506 (or 29503 counting only the distinct ones).

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

Adding to 20044442430 its reverse (3424444002), we get a palindrome (23468886432).

The spelling of 20044442430 in words is "twenty billion, forty-four million, four hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 263 290 435 522 526 789 870 1305 1315 1578 2367 2610 2630 3945 4734 7627 7890 11835 15254 22881 23670 29201 38135 45762 58402 68643 76270 87603 114405 137286 146005 175206 228810 262809 292010 343215 438015 525618 686430 846829 876030 1314045 1693658 2540487 2628090 4234145 5080974 7621461 7679863 8468290 12702435 15242922 15359726 23039589 25404870 38107305 38399315 46079178 69118767 76214610 76798630 115197945 138237534 222716027 230395890 345593835 445432054 668148081 691187670 1113580135 1336296162 2004444243 2227160270 3340740405 4008888486 6681480810 10022221215 20044442430