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2314420040 = 235385315017
BaseRepresentation
bin1000100111110011…
…0011111101001000
312222021222201102202
42021330303331020
514214442420130
61021354015332
7111232150202
oct21174637510
95867881382
102314420040
11a88480039
12547117548
132ab65381a
1417d543772
15d82be145
hex89f33f48

2314420040 has 32 divisors (see below), whose sum is σ = 5209143480. Its totient is φ = 925466112.

The previous prime is 2314420037. The next prime is 2314420051. The reversal of 2314420040 is 400244132.

It can be written as a sum of positive squares in 4 ways, for example, as 2221991044 + 92428996 = 47138^2 + 9614^2 .

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 = 2314419994 and 2314420021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146612 + ... + 161628.

Almost surely, 22314420040 is an apocalyptic number.

2314420040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2314420040 is an abundant number, since it is smaller than the sum of its proper divisors (2894723440).

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

2314420040 is a wasteful number, since it uses less digits than its factorization.

2314420040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18881 (or 18877 counting only the distinct ones).

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

The square root of 2314420040 is about 48108.4196373150. The cubic root of 2314420040 is about 1322.7590057834.

Adding to 2314420040 its reverse (400244132), we get a palindrome (2714664172).

The spelling of 2314420040 in words is "two billion, three hundred fourteen million, four hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 3853 7706 15017 15412 19265 30034 30824 38530 60068 75085 77060 120136 150170 154120 300340 600680 57860501 115721002 231442004 289302505 462884008 578605010 1157210020 2314420040