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20414001140 = 2251397809437
BaseRepresentation
bin10011000000110001…
…001110111111110100
31221200200112201001022
4103000301032333310
5313301441014030
613213354520312
71321610101211
oct230061167764
957620481038
1020414001140
118726198225
123b58736098
131c043ac020
14db9292b08
157e7297de5
hex4c0c4eff4

20414001140 has 48 divisors (see below), whose sum is σ = 46643055312. Its totient is φ = 7459762176.

The previous prime is 20414001137. The next prime is 20414001191. The reversal of 20414001140 is 4110041402.

It can be written as a sum of positive squares in 8 ways, for example, as 2735716 + 20411265424 = 1654^2 + 142868^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379499 + ... + 429938.

It is an arithmetic number, because the mean of its divisors is an integer number (971730319).

Almost surely, 220414001140 is an apocalyptic number.

20414001140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20414001140 is an abundant number, since it is smaller than the sum of its proper divisors (26229054172).

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

20414001140 is a wasteful number, since it uses less digits than its factorization.

20414001140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809556 (or 809554 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 20414001140 its reverse (4110041402), we get a palindrome (24524042542).

The spelling of 20414001140 in words is "twenty billion, four hundred fourteen million, one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 97 130 194 260 388 485 970 1261 1940 2522 5044 6305 12610 25220 809437 1618874 3237748 4047185 8094370 10522681 16188740 21045362 42090724 52613405 78515389 105226810 157030778 210453620 314061556 392576945 785153890 1020700057 1570307780 2041400114 4082800228 5103500285 10207000570 20414001140