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104420420224 = 275371216791
BaseRepresentation
bin110000100111111110…
…0010010101010000000
3100222112020102221211021
41201033330102222000
53202323111421344
6115545311555224
710354430633011
oct1411774225200
9328466387737
10104420420224
114031467225a
12182a222bb14
139b01572203
1450a8173008
152ab2358b84
hex184ff12a80

104420420224 has 64 divisors (see below), whose sum is σ = 214936260480. Its totient is φ = 50503398400.

The previous prime is 104420420207. The next prime is 104420420227. The reversal of 104420420224 is 422024024401.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (104420420227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373269 + ... + 590059.

It is an arithmetic number, because the mean of its divisors is an integer number (3358379070).

Almost surely, 2104420420224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104420420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107468130240).

104420420224 is an abundant number, since it is smaller than the sum of its proper divisors (110515840256).

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

104420420224 is an equidigital number, since it uses as much as digits as its factorization.

104420420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216929 (or 216917 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 104420420224 its reverse (422024024401), we get a palindrome (526444444625).

The spelling of 104420420224 in words is "one hundred four billion, four hundred twenty million, four hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 53 64 71 106 128 142 212 284 424 568 848 1136 1696 2272 3392 3763 4544 6784 7526 9088 15052 30104 60208 120416 216791 240832 433582 481664 867164 1734328 3468656 6937312 11489923 13874624 15392161 22979846 27749248 30784322 45959692 61568644 91919384 123137288 183838768 246274576 367677536 492549152 735355072 815784533 985098304 1470710144 1631569066 1970196608 3263138132 6526276264 13052552528 26105105056 52210210112 104420420224