Search a number
-
+
1440414422112 = 25371211328407
BaseRepresentation
bin10100111101011111011…
…000111101010001100000
312002200221221212011020110
4110331133120331101200
5142044432043001422
63021414532011320
7206031545400411
oct24753730752140
95080857764213
101440414422112
11505970431846
121b31b3a60b40
13a5aa47aa303
144da05c53808
152770620860c
hex14f5f63d460

1440414422112 has 48 divisors (see below), whose sum is σ = 3834342634752. Its totient is φ = 473375629440.

The previous prime is 1440414422081. The next prime is 1440414422113. The reversal of 1440414422112 is 2112244140441.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×14404144221123 (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1440414422112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1440414422113) 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, 105657388 + ... + 105671019.

It is an arithmetic number, because the mean of its divisors is an integer number (79882138224).

Almost surely, 21440414422112 is an apocalyptic number.

1440414422112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1440414422112 is an abundant number, since it is smaller than the sum of its proper divisors (2393928212640).

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

1440414422112 is a wasteful number, since it uses less digits than its factorization.

1440414422112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211328491 (or 211328483 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 1440414422112 its reverse (2112244140441), we get a palindrome (3552658562553).

The spelling of 1440414422112 in words is "one trillion, four hundred forty billion, four hundred fourteen million, four hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 211328407 422656814 633985221 845313628 1267970442 1690627256 2535940884 3381254512 5071881768 6762509024 10143763536 15004316897 20287527072 30008633794 45012950691 60017267588 90025901382 120034535176 180051802764 240069070352 360103605528 480138140704 720207211056 1440414422112