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2134420040 = 235173138853
BaseRepresentation
bin111111100111000…
…1010101001001000
312111202021202212002
41333032022221020
513332402420130
6551444010132
7103615161644
oct17716125110
95452252762
102134420040
119a5908405
124b6990948
1328027c94c
14163689c24
15c75b5b45
hex7f38aa48

2134420040 has 32 divisors (see below), whose sum is σ = 5084943480. Its totient is φ = 803546112.

The previous prime is 2134420037. The next prime is 2134420051. The reversal of 2134420040 is 400244312.

It can be written as a sum of positive squares in 4 ways, for example, as 1677230116 + 457189924 = 40954^2 + 21382^2 .

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 = 2134419994 and 2134420021.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1568747 + ... + 1570106.

Almost surely, 22134420040 is an apocalyptic number.

2134420040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134420040 is an abundant number, since it is smaller than the sum of its proper divisors (2950523440).

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

2134420040 is a wasteful number, since it uses less digits than its factorization.

2134420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138881 (or 3138877 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2134420040 is about 46199.7839821790. The cubic root of 2134420040 is about 1287.5377264843.

Adding to 2134420040 its reverse (400244312), we get a palindrome (2534664352).

The spelling of 2134420040 in words is "two billion, one hundred thirty-four million, four hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 3138853 6277706 12555412 15694265 25110824 31388530 53360501 62777060 106721002 125554120 213442004 266802505 426884008 533605010 1067210020 2134420040