Search a number
-
+
2420440040400 = 243522017033367
BaseRepresentation
bin100011001110001101011…
…110000000001111010000
322120101120121221212011020
4203032031132000033100
5304124030122243100
65051533530115440
7336604521611424
oct43161536001720
98511517855136
102420440040400
11853559336058
1233112057bb80
1314732879a975
1485215562b84
1542e640b45a0
hex2338d7803d0

2420440040400 has 60 divisors (see below), whose sum is σ = 7753476266592. Its totient is φ = 645450677120.

The previous prime is 2420440040383. The next prime is 2420440040423. The reversal of 2420440040400 is 40400440242.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1008515484 + ... + 1008517883.

Almost surely, 22420440040400 is an apocalyptic number.

2420440040400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2420440040400 is an abundant number, since it is smaller than the sum of its proper divisors (5333036226192).

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

2420440040400 is a wasteful number, since it uses less digits than its factorization.

2420440040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017033388 (or 2017033377 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 2420440040400 its reverse (40400440242), we get a palindrome (2460840480642).

The spelling of 2420440040400 in words is "two trillion, four hundred twenty billion, four hundred forty million, forty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 2017033367 4034066734 6051100101 8068133468 10085166835 12102200202 16136266936 20170333670 24204400404 30255500505 32272533872 40340667340 48408800808 50425834175 60511001010 80681334680 96817601616 100851668350 121022002020 151277502525 161362669360 201703336700 242044004040 302555005050 403406673400 484088008080 605110010100 806813346800 1210220020200 2420440040400