Search a number
-
+
20400314331141 = 322985797591631
BaseRepresentation
bin1001010001101110100010…
…11111010011000000000101
32200020020202222111112220200
410220313101133103000011
510133214320432044031
6111215435223321113
74203605543501133
oct450672137230005
980206688445820
1020400314331141
1165557a7672038
122355873bb0199
13b4c983a99c24
14507548084753
152559d416e8e6
hex128dd17d3005

20400314331141 has 12 divisors (see below), whose sum is σ = 29467223273280. Its totient is φ = 13600162212840.

The previous prime is 20400314331121. The next prime is 20400314331157. The reversal of 20400314331141 is 14113341300402.

20400314331141 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 0 + 314 + 331 + 14 + 1 = 666.

It is not a de Polignac number, because 20400314331141 - 221 = 20400312233989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20400314331121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1108605 + ... + 6483026.

It is an arithmetic number, because the mean of its divisors is an integer number (2455601939440).

Almost surely, 220400314331141 is an apocalyptic number.

It is an amenable number.

20400314331141 is a deficient number, since it is larger than the sum of its proper divisors (9066908942139).

20400314331141 is a wasteful number, since it uses less digits than its factorization.

20400314331141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7890216 (or 7890213 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 20400314331141 its reverse (14113341300402), we get a palindrome (34513655631543).

The spelling of 20400314331141 in words is "twenty trillion, four hundred billion, three hundred fourteen million, three hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 3 9 298579 895737 2687211 7591631 22774893 68324679 2266701592349 6800104777047 20400314331141