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1144664440 = 23538374717
BaseRepresentation
bin100010000111010…
…0011000101111000
32221202212222102021
41010032203011320
54321013230230
6305330044224
740236326053
oct10416430570
92852788367
101144664440
11538151377
1227b419674
131531bb64a
14ac047a9a
156a759c7a
hex443a3178

1144664440 has 32 divisors (see below), whose sum is σ = 2582254080. Its totient is φ = 456664192.

The previous prime is 1144664431. The next prime is 1144664471. The reversal of 1144664440 is 444664411.

It is a junction number, because it is equal to n+sod(n) for n = 1144664396 and 1144664405.

It is a congruent number.

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, 22039 + ... + 52678.

It is an arithmetic number, because the mean of its divisors is an integer number (80695440).

Almost surely, 21144664440 is an apocalyptic number.

1144664440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144664440 is an abundant number, since it is smaller than the sum of its proper divisors (1437589640).

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

1144664440 is a wasteful number, since it uses less digits than its factorization.

1144664440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75111 (or 75107 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 1144664440 is about 33832.8899149925. The cubic root of 1144664440 is about 1046.0667479557.

The spelling of 1144664440 in words is "one billion, one hundred forty-four million, six hundred sixty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 383 766 1532 1915 3064 3830 7660 15320 74717 149434 298868 373585 597736 747170 1494340 2988680 28616611 57233222 114466444 143083055 228932888 286166110 572332220 1144664440