Search a number
-
+
20201414040020 = 22531147761220511
BaseRepresentation
bin1001001011111100000100…
…00110111001100111010100
32122112020101021111212101202
410211332002012321213110
510121434443443240040
6110544222420012032
74153334605065353
oct445760206714724
978466337455352
1020201414040020
11648940a637454
122323204831018
13b36ca6559085
144dba7a06799a
15250742525015
hex125f821b99d4

20201414040020 has 48 divisors (see below), whose sum is σ = 43791947329536. Its totient is φ = 7819813824000.

The previous prime is 20201414040007. The next prime is 20201414040029. The reversal of 20201414040020 is 2004041410202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20201414039974 and 20201414040001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20201414040029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91501565 + ... + 91722075.

It is an arithmetic number, because the mean of its divisors is an integer number (912332236032).

Almost surely, 220201414040020 is an apocalyptic number.

20201414040020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20201414040020 is an abundant number, since it is smaller than the sum of its proper divisors (23590533289516).

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

20201414040020 is a wasteful number, since it uses less digits than its factorization.

20201414040020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368312 (or 368310 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 20201414040020 its reverse (2004041410202), we get a palindrome (22205455450222).

The spelling of 20201414040020 in words is "twenty trillion, two hundred one billion, four hundred fourteen million, forty thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 147761 220511 295522 441022 591044 738805 882044 1102555 1477610 2205110 2955220 4410220 4580591 6835841 9161182 13671682 18322364 22902955 27343364 34179205 45805910 68358410 91611820 136716820 32582925871 65165851742 130331703484 162914629355 325829258710 651658517420 1010070702001 2020141404002 4040282808004 5050353510005 10100707020010 20201414040020