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21404404044 = 223247103122819
BaseRepresentation
bin10011111011110011…
…010100100101001100
32001020201011101102100
4103323303110211030
5322314011412134
613455534355100
71355264301222
oct237363244514
961221141370
1021404404044
119094256621
12419435ba90
132031638b4a
141070a22b12
158541d0999
hex4fbcd494c

21404404044 has 72 divisors (see below), whose sum is σ = 55793687040. Its totient is φ = 6915144672.

The previous prime is 21404404037. The next prime is 21404404051. The reversal of 21404404044 is 44040440412.

21404404044 is a `hidden beast` number, since 2 + 140 + 440 + 40 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (21404404037) and next prime (21404404051).

It is a junction number, because it is equal to n+sod(n) for n = 21404403999 and 21404404017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112867 + ... + 235685.

It is an arithmetic number, because the mean of its divisors is an integer number (774912320).

Almost surely, 221404404044 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 21404404044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27896843520).

21404404044 is an abundant number, since it is smaller than the sum of its proper divisors (34389282996).

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

21404404044 is a wasteful number, since it uses less digits than its factorization.

21404404044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122979 (or 122974 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 21404404044 its reverse (44040440412), we get a palindrome (65444844456).

The spelling of 21404404044 in words is "twenty-one billion, four hundred four million, four hundred four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 103 141 188 206 282 309 412 423 564 618 846 927 1236 1692 1854 3708 4841 9682 14523 19364 29046 43569 58092 87138 122819 174276 245638 368457 491276 736914 1105371 1473828 2210742 4421484 5772493 11544986 12650357 17317479 23089972 25300714 34634958 37951071 50601428 51952437 69269916 75902142 103904874 113853213 151804284 207809748 227706426 455412852 594566779 1189133558 1783700337 2378267116 3567400674 5351101011 7134801348 10702202022 21404404044