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20201441430404 = 22131735869382621
BaseRepresentation
bin1001001011111100000111…
…01111011000101110000100
32122112020110012001102221102
410211332003233120232010
510121440023001233104
6110544225235035232
74153335356644613
oct445760357305604
978466405042842
1020201441430404
116489424045233
122323211a3bb18
13b36cac1292c0
144dba7d95787a
15250744b35a1e
hex125f83bd8b84

20201441430404 has 48 divisors (see below), whose sum is σ = 38298640919280. Its totient is φ = 9268244052480.

The previous prime is 20201441430383. The next prime is 20201441430407. The reversal of 20201441430404 is 40403414410202.

It can be written as a sum of positive squares in 8 ways, for example, as 131471508100 + 20069969922304 = 362590^2 + 4479952^2 .

It is not an unprimeable number, because it can be changed into a prime (20201441430407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52606214 + ... + 52988834.

It is an arithmetic number, because the mean of its divisors is an integer number (797888352485).

Almost surely, 220201441430404 is an apocalyptic number.

It is an amenable number.

20201441430404 is a deficient number, since it is larger than the sum of its proper divisors (18097199488876).

20201441430404 is a wasteful number, since it uses less digits than its factorization.

20201441430404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388680 (or 388678 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 20201441430404 its reverse (40403414410202), we get a palindrome (60604855840606).

The spelling of 20201441430404 in words is "twenty trillion, two hundred one billion, four hundred forty-one million, four hundred thirty thousand, four hundred four".

Divisors: 1 2 4 13 26 52 173 346 692 2249 4498 5869 8996 11738 23476 76297 152594 305188 382621 765242 1015337 1530484 2030674 4061348 4974073 9948146 13199381 19896292 26398762 52797524 66193433 132386866 264773732 860514629 1721029258 2245602649 3442058516 4491205298 8982410596 29192834437 58385668874 116771337748 388489258277 776978516554 1553957033108 5050360357601 10100720715202 20201441430404