Search a number
-
+
20423334421400 = 23522331233614683
BaseRepresentation
bin1001010010011001011011…
…00101111110001110011000
32200022110012021212022011012
410221030231211332032120
510134103442102441100
6111234203355553052
74205352160153661
oct451145545761630
980273167768135
1020423334421400
11656453a933619
12235a21945b788
13b51bb2071601
145086cd4c2368
152563d00ec135
hex12932d97e398

20423334421400 has 192 divisors, whose sum is σ = 51366732318720. Its totient is φ = 7529608627200.

The previous prime is 20423334421381. The next prime is 20423334421409. The reversal of 20423334421400 is 412443332402.

It is a super-2 number, since 2×204233344214002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20423334421409) 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 47 ways as a sum of consecutive naturals, for example, 32918459 + ... + 33533141.

It is an arithmetic number, because the mean of its divisors is an integer number (267535064160).

Almost surely, 220423334421400 is an apocalyptic number.

20423334421400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20423334421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25683366159360).

20423334421400 is an abundant number, since it is smaller than the sum of its proper divisors (30943397897320).

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

20423334421400 is a wasteful number, since it uses less digits than its factorization.

20423334421400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614986 (or 614977 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 20423334421400 its reverse (412443332402), we get a palindrome (20835777753802).

The spelling of 20423334421400 in words is "twenty trillion, four hundred twenty-three billion, three hundred thirty-four million, four hundred twenty-one thousand, four hundred".