Search a number
-
+
434001113020 = 225431673021871
BaseRepresentation
bin1100101000011000111…
…10110110111110111100
31112111020021122212121001
412110030132312332330
524102313241104040
6531213302020044
743232644410256
oct6241436667674
91474207585531
10434001113020
1115807134a902
1270142117624
1331c06924627
1417011b70cd6
15b45191759a
hex650c7b6fbc

434001113020 has 48 divisors (see below), whose sum is σ = 938182468608. Its totient is φ = 168547821120.

The previous prime is 434001112997. The next prime is 434001113057. The reversal of 434001113020 is 20311100434.

It is a super-2 number, since 2×4340011130202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 1367316 + ... + 1654555.

It is an arithmetic number, because the mean of its divisors is an integer number (19545468096).

Almost surely, 2434001113020 is an apocalyptic number.

It is an amenable number.

434001113020 is an abundant number, since it is smaller than the sum of its proper divisors (504181355588).

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

434001113020 is a wasteful number, since it uses less digits than its factorization.

434001113020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022090 (or 3022088 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 434001113020 its reverse (20311100434), we get a palindrome (454312213454).

The spelling of 434001113020 in words is "four hundred thirty-four billion, one million, one hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 167 172 215 334 430 668 835 860 1670 3340 7181 14362 28724 35905 71810 143620 3021871 6043742 12087484 15109355 30218710 60437420 129940453 259880906 504652457 519761812 649702265 1009304914 1299404530 2018609828 2523262285 2598809060 5046524570 10093049140 21700055651 43400111302 86800222604 108500278255 217000556510 434001113020