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1440311424 = 2739374003
BaseRepresentation
bin101010111011001…
…0110100010000000
310201101012101211120
41111312112202000
510422204431144
6354530512240
750456305446
oct12566264200
93641171746
101440311424
1167a022322
12342435680
1319c523ca6
14d9406b96
15866a8e19
hex55d96880

1440311424 has 64 divisors (see below), whose sum is σ = 3830867040. Its totient is φ = 479471616.

The previous prime is 1440311401. The next prime is 1440311437. The reversal of 1440311424 is 4241130441.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a junction number, because it is equal to n+sod(n) for n = 1440311394 and 1440311403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 357807 + ... + 361809.

Almost surely, 21440311424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1440311424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915433520).

1440311424 is an abundant number, since it is smaller than the sum of its proper divisors (2390555616).

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

1440311424 is an equidigital number, since it uses as much as digits as its factorization.

1440311424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4957 (or 4945 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1440311424 is about 37951.4350716808. The cubic root of 1440311424 is about 1129.3246346796.

Adding to 1440311424 its reverse (4241130441), we get a palindrome (5681441865).

The spelling of 1440311424 in words is "one billion, four hundred forty million, three hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 937 1874 2811 3748 4003 5622 7496 8006 11244 12009 14992 16012 22488 24018 29984 32024 44976 48036 59968 64048 89952 96072 119936 128096 179904 192144 256192 359808 384288 512384 768576 1537152 3750811 7501622 11252433 15003244 22504866 30006488 45009732 60012976 90019464 120025952 180038928 240051904 360077856 480103808 720155712 1440311424