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4213228421448 = 23322419032
BaseRepresentation
bin111101010011110111111…
…110111100000101001000
3112220210002010120211012200
4331103313332330011020
51023012142433441243
612543310323040200
7613252504454364
oct75236776740510
915823063524180
104213228421448
111384902672682
12580675810060
132473c8915207
14107cc824a2a4
15748e0951ad3
hex3d4f7fbc148

4213228421448 has 36 divisors (see below), whose sum is σ = 11410874146035. Its totient is φ = 1404403668144.

The previous prime is 4213228421443. The next prime is 4213228421509. The reversal of 4213228421448 is 8441248223124.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4213228421448 is a `hidden beast` number, since 4 + 213 + 2 + 2 + 8 + 421 + 4 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2106614210724 + 2106614210724 = 1451418^2 + 1451418^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1451418.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4213228421443) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17296065 + ... + 17537967.

Almost surely, 24213228421448 is an apocalyptic number.

It is an amenable number.

4213228421448 is an abundant number, since it is smaller than the sum of its proper divisors (7197645724587).

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

4213228421448 is an frugal number, since it uses more digits than its factorization.

4213228421448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483818 (or 241908 counting only the distinct ones).

The product of its digits is 786432, while the sum is 45.

The spelling of 4213228421448 in words is "four trillion, two hundred thirteen billion, two hundred twenty-eight million, four hundred twenty-one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 241903 483806 725709 967612 1451418 1935224 2177127 2902836 4354254 5805672 8708508 17417016 58517061409 117034122818 175551184227 234068245636 351102368454 468136491272 526653552681 702204736908 1053307105362 1404409473816 2106614210724 4213228421448