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4401142430304 = 253349131361701
BaseRepresentation
bin100000000001011100010…
…0001111111101001100000
3120120202010011221112200110
41000002320201333221200
51034102014430232204
613205505032251320
7632654261256534
oct100027041775140
916522104845613
104401142430304
111447572189844
125b0b79840b40
1325c045022529
14113033127bc4
157973cd1b889
hex400b887fa60

4401142430304 has 48 divisors (see below), whose sum is σ = 11586102116400. Its totient is φ = 1462843891200.

The previous prime is 4401142430257. The next prime is 4401142430323. The reversal of 4401142430304 is 4030342411044.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 65647347 + ... + 65714354.

It is an arithmetic number, because the mean of its divisors is an integer number (241377127425).

Almost surely, 24401142430304 is an apocalyptic number.

It is an amenable number.

4401142430304 is an abundant number, since it is smaller than the sum of its proper divisors (7184959686096).

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

4401142430304 is a wasteful number, since it uses less digits than its factorization.

4401142430304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131362063 (or 131362055 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 4401142430304 its reverse (4030342411044), we get a palindrome (8431484841348).

The spelling of 4401142430304 in words is "four trillion, four hundred one billion, one hundred forty-two million, four hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 349 698 1047 1396 2094 2792 4188 5584 8376 11168 16752 33504 131361701 262723402 394085103 525446804 788170206 1050893608 1576340412 2101787216 3152680824 4203574432 6305361648 12610723296 45845233649 91690467298 137535700947 183380934596 275071401894 366761869192 550142803788 733523738384 1100285607576 1467047476768 2200571215152 4401142430304