Search a number
-
+
4404322200420 = 223358156152223
BaseRepresentation
bin100000000010111011000…
…0011110110101101100100
3120121001022210020121021000
41000011312003312231210
51034130022440403140
613211152341553300
7633126132002412
oct100056603665544
916531283217230
104404322200420
11144895407512a
125b1706715830
1325c430a2a0cc
141132555682b2
1579877070a30
hex401760f6b64

4404322200420 has 48 divisors (see below), whose sum is σ = 13702335736320. Its totient is φ = 1174485919968.

The previous prime is 4404322200403. The next prime is 4404322200503. The reversal of 4404322200420 is 240022234044.

4404322200420 is a `hidden beast` number, since 4 + 4 + 0 + 4 + 32 + 2 + 200 + 420 = 666.

It is a super-2 number, since 2×44043222004202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 4078075572 + ... + 4078076651.

It is an arithmetic number, because the mean of its divisors is an integer number (285465327840).

Almost surely, 24404322200420 is an apocalyptic number.

It is an amenable number.

4404322200420 is an abundant number, since it is smaller than the sum of its proper divisors (9298013535900).

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

4404322200420 is a wasteful number, since it uses less digits than its factorization.

4404322200420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8156152241 (or 8156152233 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 4404322200420 its reverse (240022234044), we get a palindrome (4644344434464).

The spelling of 4404322200420 in words is "four trillion, four hundred four billion, three hundred twenty-two million, two hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 8156152223 16312304446 24468456669 32624608892 40780761115 48936913338 73405370007 81561522230 97873826676 122342283345 146810740014 163123044460 220216110021 244684566690 293621480028 367026850035 440432220042 489369133380 734053700070 880864440084 1101080550105 1468107400140 2202161100210 4404322200420