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1440074016 = 25325000257
BaseRepresentation
bin101010111010101…
…1100100100100000
310201100202100011200
41111311130210200
510422124332031
6354521441200
750454266343
oct12565344440
93640670150
101440074016
1167997aa17
12342340200
1319c46cc04
14d938445a
158665d8e6
hex55d5c920

1440074016 has 36 divisors (see below), whose sum is σ = 4095211302. Its totient is φ = 480024576.

The previous prime is 1440073997. The next prime is 1440074017. The reversal of 1440074016 is 6104700441.

It can be written as a sum of positive squares in only one way, i.e., 1343955600 + 96118416 = 36660^2 + 9804^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×14400740163 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1440074017) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2499841 + ... + 2500416.

Almost surely, 21440074016 is an apocalyptic number.

1440074016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1440074016 is an abundant number, since it is smaller than the sum of its proper divisors (2655137286).

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

1440074016 is a wasteful number, since it uses less digits than its factorization.

1440074016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5000273 (or 5000262 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1440074016 is about 37948.3071559194. The cubic root of 1440074016 is about 1129.2625820265.

Adding to 1440074016 its reverse (6104700441), we get a palindrome (7544774457).

The spelling of 1440074016 in words is "one billion, four hundred forty million, seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 5000257 10000514 15000771 20001028 30001542 40002056 45002313 60003084 80004112 90004626 120006168 160008224 180009252 240012336 360018504 480024672 720037008 1440074016