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1444414120 = 23561591973
BaseRepresentation
bin101011000011000…
…0000001010101000
310201122220211200021
41112012000022220
510424232222440
6355154450224
750536213612
oct12606001250
93648824607
101444414120
11681374786
12343893974
131a032c516
14d9b93db2
1586c1984a
hex561802a8

1444414120 has 32 divisors (see below), whose sum is σ = 3303214920. Its totient is φ = 568293120.

The previous prime is 1444414109. The next prime is 1444414121. The reversal of 1444414120 is 214144441.

It can be written as a sum of positive squares in 4 ways, for example, as 1010858436 + 433555684 = 31794^2 + 20822^2 .

It is not an unprimeable number, because it can be changed into a prime (1444414121) 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, 293547 + ... + 298426.

Almost surely, 21444414120 is an apocalyptic number.

1444414120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444414120 is an abundant number, since it is smaller than the sum of its proper divisors (1858800800).

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

1444414120 is a wasteful number, since it uses less digits than its factorization.

1444414120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592045 (or 592041 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 1444414120 is about 38005.4485567530. The cubic root of 1444414120 is about 1130.3959037748.

Adding to 1444414120 its reverse (214144441), we get a palindrome (1658558561).

The spelling of 1444414120 in words is "one billion, four hundred forty-four million, four hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 591973 1183946 2367892 2959865 4735784 5919730 11839460 23678920 36110353 72220706 144441412 180551765 288882824 361103530 722207060 1444414120