Search a number
-
+
20401320040 = 235510033001
BaseRepresentation
bin10011000000000000…
…110111000001101000
31221122210200102211221
4103000000313001220
5313240214220130
613212223031424
71321364234113
oct230000670150
957583612757
1020401320040
11871a016782
123b5443b574
131c0188c00a
14db771157a
157e60e087a
hex4c0037068

20401320040 has 16 divisors (see below), whose sum is σ = 45902970180. Its totient is φ = 8160528000.

The previous prime is 20401320019. The next prime is 20401320041. The reversal of 20401320040 is 4002310402.

It can be written as a sum of positive squares in 2 ways, for example, as 18834268644 + 1567051396 = 137238^2 + 39586^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20401319996 and 20401320023.

It is not an unprimeable number, because it can be changed into a prime (20401320041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 255016461 + ... + 255016540.

Almost surely, 220401320040 is an apocalyptic number.

20401320040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20401320040 is an abundant number, since it is smaller than the sum of its proper divisors (25501650140).

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

20401320040 is a wasteful number, since it uses less digits than its factorization.

20401320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510033012 (or 510033008 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20401320040 its reverse (4002310402), we get a palindrome (24403630442).

The spelling of 20401320040 in words is "twenty billion, four hundred one million, three hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 510033001 1020066002 2040132004 2550165005 4080264008 5100330010 10200660020 20401320040