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10040477604443 = 11132319115982957
BaseRepresentation
bin1001001000011011101100…
…0110011101101001011011
31022112212020010222121110022
42102012323012131221123
52304000344231320233
633204310504341055
72054254252325006
oct222067306355133
938485203877408
1010040477604443
113221162942380
121161ab377478b
1357aa75151260
14269d66d0253d
1512629881c398
hex921bb19da5b

10040477604443 has 32 divisors (see below), whose sum is σ = 12373111037952. Its totient is φ = 8017050729600.

The previous prime is 10040477604427. The next prime is 10040477604461. The reversal of 10040477604443 is 34440677404001.

It is not a de Polignac number, because 10040477604443 - 24 = 10040477604427 is a prime.

It is a super-2 number, since 2×100404776044432 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10040477604394 and 10040477604403.

It is not an unprimeable number, because it can be changed into a prime (10040477604463) 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 31 ways as a sum of consecutive naturals, for example, 7363280 + ... + 8619677.

It is an arithmetic number, because the mean of its divisors is an integer number (386659719936).

Almost surely, 210040477604443 is an apocalyptic number.

10040477604443 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10040477604443 is a deficient number, since it is larger than the sum of its proper divisors (2332633433509).

10040477604443 is a wasteful number, since it uses less digits than its factorization.

10040477604443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15983195.

The product of its (nonzero) digits is 903168, while the sum is 44.

The spelling of 10040477604443 in words is "ten trillion, forty billion, four hundred seventy-seven million, six hundred four thousand, four hundred forty-three".

Divisors: 1 11 13 23 143 191 253 299 2101 2483 3289 4393 27313 48323 57109 628199 15982957 175812527 207778441 367608011 2285562851 3052744787 4043688121 4778904143 33580192657 39685682231 52567945573 70213130101 436542504541 772344431111 912770691313 10040477604443