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4220412021024 = 253435982920903
BaseRepresentation
bin111101011010100100001…
…010001100100100100000
3112221110121202210111021020
4331122210022030210200
51023121400434133044
612550455220325440
7613625513163363
oct75324412144440
915843552714236
104220412021024
111387959618331
12581b3b543880
13247ca1c82554
141083aa31a0da
1574bb1435a19
hex3d6a428c920

4220412021024 has 192 divisors, whose sum is σ = 11542820889600. Its totient is φ = 1349104038912.

The previous prime is 4220412021019. The next prime is 4220412021031. The reversal of 4220412021024 is 4201202140224.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 4220412020985 and 4220412021003.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 201894157 + ... + 201915059.

It is an arithmetic number, because the mean of its divisors is an integer number (60118858800).

Almost surely, 24220412021024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4220412021024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5771410444800).

4220412021024 is an abundant number, since it is smaller than the sum of its proper divisors (7322408868576).

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

4220412021024 is a wasteful number, since it uses less digits than its factorization.

4220412021024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21847 (or 21839 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4220412021024 its reverse (4201202140224), we get a palindrome (8421614161248).

The spelling of 4220412021024 in words is "four trillion, two hundred twenty billion, four hundred twelve million, twenty-one thousand, twenty-four".