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440002200420 = 223252444456669
BaseRepresentation
bin1100110011100100010…
…11001100001101100100
31120001201111202200220100
412121302023030031210
524202111030403140
6534044554104100
743534443665016
oct6316213141544
91501644680810
10440002200420
1115a670853672
1271337a1b030
1332651cb1313
1417420b841b6
15b6a36b7530
hex66722cc364

440002200420 has 36 divisors (see below), whose sum is σ = 1334673341820. Its totient is φ = 117333920064.

The previous prime is 440002200383. The next prime is 440002200427. The reversal of 440002200420 is 24002200044.

440002200420 is a `hidden beast` number, since 4 + 40 + 0 + 0 + 2 + 200 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 106239491136 + 333762709284 = 325944^2 + 577722^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 440002200393 and 440002200402.

It is not an unprimeable number, because it can be changed into a prime (440002200427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1222228155 + ... + 1222228514.

It is an arithmetic number, because the mean of its divisors is an integer number (37074259495).

Almost surely, 2440002200420 is an apocalyptic number.

It is an amenable number.

440002200420 is an abundant number, since it is smaller than the sum of its proper divisors (894671141400).

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

440002200420 is a wasteful number, since it uses less digits than its factorization.

440002200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444456684 (or 2444456679 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 440002200420 its reverse (24002200044), we get a palindrome (464004400464).

The spelling of 440002200420 in words is "four hundred forty billion, two million, two hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2444456669 4888913338 7333370007 9777826676 12222283345 14666740014 22000110021 24444566690 29333480028 36666850035 44000220042 48889133380 73333700070 88000440084 110000550105 146667400140 220001100210 440002200420