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104400213040 = 2451976624379
BaseRepresentation
bin110000100111010111…
…1001101010000110000
3100222110211102022210001
41201032233031100300
53202302423304130
6115543310515344
710354064111644
oct1411657152060
9328424368701
10104400213040
1140304220302
1218297505b54
139aca3186b6
1450a55d2c24
152ab06b66ca
hex184ebcd430

104400213040 has 40 divisors (see below), whose sum is σ = 243962666640. Its totient is φ = 41548098816.

The previous prime is 104400213013. The next prime is 104400213067. The reversal of 104400213040 is 40312004401.

104400213040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (104400213013) and next prime (104400213067).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 104400212999 and 104400213017.

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, 3296430 + ... + 3327949.

It is an arithmetic number, because the mean of its divisors is an integer number (6099066666).

Almost surely, 2104400213040 is an apocalyptic number.

104400213040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104400213040 is an abundant number, since it is smaller than the sum of its proper divisors (139562453600).

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

104400213040 is a wasteful number, since it uses less digits than its factorization.

104400213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6624589 (or 6624583 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 104400213040 its reverse (40312004401), we get a palindrome (144712217441).

The spelling of 104400213040 in words is "one hundred four billion, four hundred million, two hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 197 394 788 985 1576 1970 3152 3940 7880 15760 6624379 13248758 26497516 33121895 52995032 66243790 105990064 132487580 264975160 529950320 1305002663 2610005326 5220010652 6525013315 10440021304 13050026630 20880042608 26100053260 52200106520 104400213040