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4022003414020 = 2251601775716193
BaseRepresentation
bin111010100001110010000…
…101011011010000000100
3112020111111022222221120011
4322201302011123100010
51011344030333222040
612315403255320004
7563402664641164
oct72416205332004
915214438887504
104022003414020
1113107a408a259
1254b5a8980004
13232372574647
14dc94772c5a4
156e94ca603ea
hex3a87215b404

4022003414020 has 48 divisors (see below), whose sum is σ = 8453094270768. Its totient is φ = 1607489945600.

The previous prime is 4022003413999. The next prime is 4022003414021. The reversal of 4022003414020 is 204143002204.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2076988262976 + 1945015151044 = 1441176^2 + 1394638^2 .

It is a super-2 number, since 2×40220034140202 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4022003413982 and 4022003414000.

It is not an unprimeable number, because it can be changed into a prime (4022003414021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 248371044 + ... + 248387236.

It is an arithmetic number, because the mean of its divisors is an integer number (176106130641).

Almost surely, 24022003414020 is an apocalyptic number.

It is an amenable number.

4022003414020 is an abundant number, since it is smaller than the sum of its proper divisors (4431090856748).

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

4022003414020 is a wasteful number, since it uses less digits than its factorization.

4022003414020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25560 (or 25558 counting only the distinct ones).

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

Adding to 4022003414020 its reverse (204143002204), we get a palindrome (4226146416224).

The spelling of 4022003414020 in words is "four trillion, twenty-two billion, three million, four hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 20 1601 3202 6404 7757 8005 15514 16010 16193 31028 32020 32386 38785 64772 77570 80965 155140 161930 323860 12418957 24837914 25924993 49675828 51849986 62094785 103699972 124189570 125609101 129624965 248379140 251218202 259249930 502436404 518499860 628045505 1256091010 2512182020 201100170701 402200341402 804400682804 1005500853505 2011001707010 4022003414020