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4020444404442 = 2323110171337599
BaseRepresentation
bin111010100000010101001…
…010010001101011011010
3112020100110200110001110200
4322200111022101223122
51011332332231420232
612314544444323030
7563316234402564
oct72402512215332
915210420401420
104020444404442
111310074065294
1254b232843476
1323218459117b
14dc83a668334
156e8aac5b77c
hex3a815291ada

4020444404442 has 48 divisors (see below), whose sum is σ = 9080991129600. Its totient is φ = 1284076764000.

The previous prime is 4020444404419. The next prime is 4020444404453. The reversal of 4020444404442 is 2444044440204.

4020444404442 is a `hidden beast` number, since 4 + 0 + 204 + 4 + 4 + 4 + 0 + 4 + 442 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4020444404397 and 4020444404406.

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 23 ways as a sum of consecutive naturals, for example, 35612442 + ... + 35725157.

It is an arithmetic number, because the mean of its divisors is an integer number (189187315200).

Almost surely, 24020444404442 is an apocalyptic number.

4020444404442 is an abundant number, since it is smaller than the sum of its proper divisors (5060546725158).

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

4020444404442 is a wasteful number, since it uses less digits than its factorization.

4020444404442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71337739 (or 71337736 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 4020444404442 its reverse (2444044440204), we get a palindrome (6464488844646).

The spelling of 4020444404442 in words is "four trillion, twenty billion, four hundred forty-four million, four hundred four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 101 186 202 279 303 558 606 909 1818 3131 6262 9393 18786 28179 56358 71337599 142675198 214012797 428025594 642038391 1284076782 2211465569 4422931138 6634396707 7205097499 13268793414 14410194998 19903190121 21615292497 39806380242 43230584994 64845877491 129691754982 223358022469 446716044938 670074067407 1340148134814 2010222202221 4020444404442