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4022013440020 = 2257111777240503
BaseRepresentation
bin111010100001110010101…
…011101011000000010100
3112020111112000212022122111
4322201302223223000110
51011344040420040040
612315404254240404
7563403146106412
oct72416253530024
915214460768574
104022013440020
1113107a9807a04
1254b5b01b6104
13232374674ca4
14dc948bbc2b2
156e94d890dea
hex3a872aeb014

4022013440020 has 48 divisors (see below), whose sum is σ = 8565952082688. Its totient is φ = 1586004869120.

The previous prime is 4022013439993. The next prime is 4022013440069. The reversal of 4022013440020 is 200443102204.

It is a happy number.

It is a super-2 number, since 2×40220134400202 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4022013439973 and 4022013440000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16603089 + ... + 16843591.

It is an arithmetic number, because the mean of its divisors is an integer number (178457335056).

Almost surely, 24022013440020 is an apocalyptic number.

It is an amenable number.

4022013440020 is an abundant number, since it is smaller than the sum of its proper divisors (4543938642668).

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

4022013440020 is a wasteful number, since it uses less digits than its factorization.

4022013440020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252360 (or 252358 counting only the distinct ones).

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

Adding to 4022013440020 its reverse (200443102204), we get a palindrome (4222456542224).

The spelling of 4022013440020 in words is "four trillion, twenty-two billion, thirteen million, four hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 71 142 284 355 710 1420 11777 23554 47108 58885 117770 235540 240503 481006 836167 962012 1202515 1672334 2405030 3344668 4180835 4810060 8361670 16723340 17075713 34151426 68302852 85378565 170757130 341514260 2832403831 5664807662 11329615324 14162019155 28324038310 56648076620 201100672001 402201344002 804402688004 1005503360005 2011006720010 4022013440020