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20400334230204 = 22331934392229419
BaseRepresentation
bin1001010001101110100101…
…01011001101001010111100
32200020020211100221112022000
410220313102223031022330
510133214341030331304
6111215441214022300
74203606204566655
oct450672253151274
980206740845260
1020400334230204
116555807923545
12235587a7a7990
13b4c987c46416
1450754a98452c
152559d5ca0939
hex128dd2acd2bc

20400334230204 has 96 divisors (see below), whose sum is σ = 53284921536000. Its totient is φ = 6749464900608.

The previous prime is 20400334230187. The next prime is 20400334230223. The reversal of 20400334230204 is 40203243300402.

20400334230204 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 0 + 33 + 423 + 0 + 204 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 8035807 + ... + 10265225.

It is an arithmetic number, because the mean of its divisors is an integer number (555051266000).

Almost surely, 220400334230204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20400334230204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26642460768000).

20400334230204 is an abundant number, since it is smaller than the sum of its proper divisors (32884587305796).

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

20400334230204 is a wasteful number, since it uses less digits than its factorization.

20400334230204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230064 (or 2230056 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 20400334230204 its reverse (40203243300402), we get a palindrome (60603577530606).

The spelling of 20400334230204 in words is "twenty trillion, four hundred billion, three hundred thirty-four million, two hundred thirty thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 193 386 439 579 772 878 1158 1317 1737 1756 2316 2634 3474 3951 5211 5268 6948 7902 10422 11853 15804 20844 23706 47412 84727 169454 254181 338908 508362 762543 1016724 1525086 2229419 2287629 3050172 4458838 4575258 6688257 8917676 9150516 13376514 20064771 26753028 40129542 60194313 80259084 120388626 240777252 430277867 860555734 978714941 1290833601 1721111468 1957429882 2581667202 2936144823 3872500803 3914859764 5163334404 5872289646 7745001606 8808434469 11617502409 11744579292 15490003212 17616868938 23235004818 26425303407 35233737876 46470009636 52850606814 105701213628 188891983613 377783967226 566675950839 755567934452 1133351901678 1700027852517 2266703803356 3400055705034 5100083557551 6800111410068 10200167115102 20400334230204