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11042020414000 = 24539756917631
BaseRepresentation
bin1010000010101110101110…
…1101000101001000110000
31110002121101101110212210001
42200223223231011020300
52421403024211222000
635252344550515344
72216521362621052
oct240535355051060
943077341425701
1011042020414000
113577992727994
1212a4026365b54
13621347c4a654
142a26181d38d2
1514236573746a
hexa0aebb45230

11042020414000 has 80 divisors (see below), whose sum is σ = 26974859498496. Its totient is φ = 4371273984000.

The previous prime is 11042020413997. The next prime is 11042020414003. The reversal of 11042020414000 is 41402024011.

It is an interprime number because it is at equal distance from previous prime (11042020413997) and next prime (11042020414003).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×110420204140004 (a number of 53 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (11042020414003) by changing a digit.

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, 28264816 + ... + 28652815.

Almost surely, 211042020414000 is an apocalyptic number.

11042020414000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11042020414000 is an abundant number, since it is smaller than the sum of its proper divisors (15932839084496).

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

11042020414000 is an equidigital number, since it uses as much as digits as its factorization.

11042020414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56917751 (or 56917735 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 11042020414000 its reverse (41402024011), we get a palindrome (11083422438011).

The spelling of 11042020414000 in words is "eleven trillion, forty-two billion, twenty million, four hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 97 100 125 194 200 250 388 400 485 500 776 970 1000 1552 1940 2000 2425 3880 4850 7760 9700 12125 19400 24250 38800 48500 97000 194000 56917631 113835262 227670524 284588155 455341048 569176310 910682096 1138352620 1422940775 2276705240 2845881550 4553410480 5521010207 5691763100 7114703875 11042020414 11383526200 14229407750 22084040828 22767052400 27605051035 28458815500 44168081656 55210102070 56917631000 88336163312 110420204140 113835262000 138025255175 220840408280 276050510350 441680816560 552101020700 690126275875 1104202041400 1380252551750 2208404082800 2760505103500 5521010207000 11042020414000