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40104404710044 = 22371143107328921
BaseRepresentation
bin10010001111001100010001…
…10010111111001010011100
312020222221110220210210211020
421013212020302333022130
520224032310101210134
6221143413103324140
711306306351325333
oct1107461062771234
9166887426723736
1040104404710044
1111862200a37004
1245b8603bb0650
13194baa17c8cbc
149c90c651cd1a
1549831a9c0b49
hex247988cbf29c

40104404710044 has 48 divisors (see below), whose sum is σ = 94895881065216. Its totient is φ = 13179719145600.

The previous prime is 40104404710031. The next prime is 40104404710049. The reversal of 40104404710044 is 44001740440104.

40104404710044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×401044047100443 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40104404709987 and 40104404710014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40104404710049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121762704 + ... + 122091624.

It is an arithmetic number, because the mean of its divisors is an integer number (1976997522192).

Almost surely, 240104404710044 is an apocalyptic number.

It is an amenable number.

40104404710044 is an abundant number, since it is smaller than the sum of its proper divisors (54791476355172).

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

40104404710044 is a wasteful number, since it uses less digits than its factorization.

40104404710044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472106 (or 472104 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 33.

The spelling of 40104404710044 in words is "forty trillion, one hundred four billion, four hundred four million, seven hundred ten thousand, forty-four".

Divisors: 1 2 3 4 6 12 71 142 213 284 426 852 143107 286214 328921 429321 572428 657842 858642 986763 1315684 1717284 1973526 3947052 10160597 20321194 23353391 30481791 40642388 46706782 60963582 70060173 93413564 121927164 140120346 280240692 47070897547 94141795094 141212692641 188283590188 282425385282 564850770564 3342033725837 6684067451674 10026101177511 13368134903348 20052202355022 40104404710044