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1644414114 = 2371710912111
BaseRepresentation
bin110001000000011…
…1100010010100010
311020121020220002110
41202000330102202
511331432222424
6431101300150
755515201150
oct14200742242
94217226073
101644414114
11774257732
1239a864656
132028b6805
141185763d0
1599573c29
hex6203c4a2

1644414114 has 64 divisors (see below), whose sum is σ = 3985293312. Its totient is φ = 441580800.

The previous prime is 1644414113. The next prime is 1644414143. The reversal of 1644414114 is 4114144461.

It is a super-3 number, since 3×16444141143 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1644414113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 777919 + ... + 780029.

It is an arithmetic number, because the mean of its divisors is an integer number (62270208).

Almost surely, 21644414114 is an apocalyptic number.

1644414114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1644414114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992646656).

1644414114 is an abundant number, since it is smaller than the sum of its proper divisors (2340879198).

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

1644414114 is a wasteful number, since it uses less digits than its factorization.

1644414114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3231.

The product of its digits is 6144, while the sum is 30.

The square root of 1644414114 is about 40551.3762281874. The cubic root of 1644414114 is about 1180.3307781857.

Adding to 1644414114 its reverse (4114144461), we get a palindrome (5758558575).

The spelling of 1644414114 in words is "one billion, six hundred forty-four million, four hundred fourteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 1091 2111 2182 3273 4222 6333 6546 7637 12666 14777 15274 18547 22911 29554 35887 37094 44331 45822 55641 71774 88662 107661 111282 129829 215322 251209 259658 389487 502418 753627 778974 1507254 2303101 4606202 6909303 13818606 16121707 32243414 39152717 48365121 78305434 96730242 117458151 234916302 274069019 548138038 822207057 1644414114