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4312022440 = 2351115164901
BaseRepresentation
bin1000000010000010…
…00011110110101000
3102010111211102202211
410001001003312220
532312334204230
61551513334504
7211566404665
oct40101036650
912114742684
104312022440
11191302a310
12a04107434
1353946b78b
142cc976a6c
151a385b42a
hex101043da8

4312022440 has 64 divisors (see below), whose sum is σ = 10654312320. Its totient is φ = 1557600000.

The previous prime is 4312022419. The next prime is 4312022453. The reversal of 4312022440 is 442202134.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 33990 + ... + 98890.

It is an arithmetic number, because the mean of its divisors is an integer number (166473630).

Almost surely, 24312022440 is an apocalyptic number.

4312022440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4312022440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5327156160).

4312022440 is an abundant number, since it is smaller than the sum of its proper divisors (6342289880).

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

4312022440 is a wasteful number, since it uses less digits than its factorization.

4312022440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65074 (or 65070 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4312022440 is about 65665.9915024513. The cubic root of 4312022440 is about 1627.6474323398.

Adding to 4312022440 its reverse (442202134), we get a palindrome (4754224574).

The spelling of 4312022440 in words is "four billion, three hundred twelve million, twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 151 220 302 440 604 755 1208 1510 1661 3020 3322 6040 6644 8305 13288 16610 33220 64901 66440 129802 259604 324505 519208 649010 713911 1298020 1427822 2596040 2855644 3569555 5711288 7139110 9800051 14278220 19600102 28556440 39200204 49000255 78400408 98000510 107800561 196001020 215601122 392002040 431202244 539002805 862404488 1078005610 2156011220 4312022440