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1440314320 = 245155311593
BaseRepresentation
bin101010111011001…
…0111001111010000
310201101012112210211
41111312113033100
510422210024240
6354530533504
750456320054
oct12566271720
93641175724
101440314320
1167a024515
12342437294
1319c5253c3
14d9407c64
15866a9bea
hex55d973d0

1440314320 has 40 divisors (see below), whose sum is σ = 3351176136. Its totient is φ = 575705088.

The previous prime is 1440314299. The next prime is 1440314321. The reversal of 1440314320 is 234130441.

It can be written as a sum of positive squares in 4 ways, for example, as 190550416 + 1249763904 = 13804^2 + 35352^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1440314291 and 1440314300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1440314321) 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, 118444 + ... + 130036.

Almost surely, 21440314320 is an apocalyptic number.

1440314320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1440314320 is an abundant number, since it is smaller than the sum of its proper divisors (1910861816).

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

1440314320 is a wasteful number, since it uses less digits than its factorization.

1440314320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13159 (or 13153 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1440314320 is about 37951.4732256865. The cubic root of 1440314320 is about 1129.3253915811.

Adding to 1440314320 its reverse (234130441), we get a palindrome (1674444761).

The spelling of 1440314320 in words is "one billion, four hundred forty million, three hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1553 3106 6212 7765 11593 12424 15530 23186 24848 31060 46372 57965 62120 92744 115930 124240 185488 231860 463720 927440 18003929 36007858 72015716 90019645 144031432 180039290 288062864 360078580 720157160 1440314320