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1440213216 = 253131154017
BaseRepresentation
bin101010111010111…
…1110100011100000
310201101000102010020
41111311332203200
510422143310331
6354524433440
750455416231
oct12565764340
93641012106
101440213216
11679a65562
123423a8880
1319c4bb390
14d93bd088
1586689c96
hex55d7e8e0

1440213216 has 48 divisors (see below), whose sum is σ = 4071375504. Its totient is φ = 443142144.

The previous prime is 1440213209. The next prime is 1440213217. The reversal of 1440213216 is 6123120441.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1440213217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 575761 + ... + 578256.

It is an arithmetic number, because the mean of its divisors is an integer number (84820323).

Almost surely, 21440213216 is an apocalyptic number.

1440213216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1440213216 is an abundant number, since it is smaller than the sum of its proper divisors (2631162288).

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

1440213216 is a wasteful number, since it uses less digits than its factorization.

1440213216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154043 (or 1154035 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1440213216 is about 37950.1411855081. The cubic root of 1440213216 is about 1129.2989663339.

Adding to 1440213216 its reverse (6123120441), we get a palindrome (7563333657).

The spelling of 1440213216 in words is "one billion, four hundred forty million, two hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1154017 2308034 3462051 4616068 6924102 9232136 13848204 15002221 18464272 27696408 30004442 36928544 45006663 55392816 60008884 90013326 110785632 120017768 180026652 240035536 360053304 480071072 720106608 1440213216