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104010414249 = 3737433113059
BaseRepresentation
bin110000011011110000…
…0001111100010101001
3100221110122221111100210
41200313200033202221
53201003131223444
6115440504051333
710341321635220
oct1406740174251
9327418844323
10104010414249
1140124192745
12181a8a63b49
139a67639421
145069925cb7
152a8b36a7b9
hex183780f8a9

104010414249 has 32 divisors (see below), whose sum is σ = 166561162240. Its totient is φ = 56483324352.

The previous prime is 104010414247. The next prime is 104010414269. The reversal of 104010414249 is 942414010401.

It is not a de Polignac number, because 104010414249 - 21 = 104010414247 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104010414247) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1523119 + ... + 1589940.

It is an arithmetic number, because the mean of its divisors is an integer number (5205036320).

Almost surely, 2104010414249 is an apocalyptic number.

It is an amenable number.

104010414249 is a deficient number, since it is larger than the sum of its proper divisors (62550747991).

104010414249 is a wasteful number, since it uses less digits than its factorization.

104010414249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113149.

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 104010414249 in words is "one hundred four billion, ten million, four hundred fourteen thousand, two hundred forty-nine".

Divisors: 1 3 7 21 37 43 111 129 259 301 777 903 1591 4773 11137 33411 3113059 9339177 21791413 65374239 115183183 133861537 345549549 401584611 806282281 937030759 2418846843 2811092277 4952876869 14858630607 34670138083 104010414249