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1144462440 = 2335111751001
BaseRepresentation
bin100010000110111…
…0001110001101000
32221202111201022210
41010031301301220
54320440244230
6305321445120
740234525122
oct10415616150
92852451283
101144462440
11538023630
1227b3407a0
1315314a714
14abdd4212
156a719eb0
hex44371c68

1144462440 has 128 divisors (see below), whose sum is σ = 3965915520. Its totient is φ = 261120000.

The previous prime is 1144462439. The next prime is 1144462441. The reversal of 1144462440 is 442644411.

1144462440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1144462439) and next prime (1144462441).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1144462398 and 1144462407.

It is not an unprimeable number, because it can be changed into a prime (1144462441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3061 + ... + 47940.

It is an arithmetic number, because the mean of its divisors is an integer number (30983715).

Almost surely, 21144462440 is an apocalyptic number.

1144462440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144462440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982957760).

1144462440 is an abundant number, since it is smaller than the sum of its proper divisors (2821453080).

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

1144462440 is a wasteful number, since it uses less digits than its factorization.

1144462440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51043 (or 51039 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 1144462440 is about 33829.9045224783. The cubic root of 1144462440 is about 1046.0052108779.

It can be divided in two parts, 114446 and 2440, that added together give a triangular number (116886 = T483).

The spelling of 1144462440 in words is "one billion, one hundred forty-four million, four hundred sixty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2805 3740 4488 5610 7480 11220 22440 51001 102002 153003 204004 255005 306006 408008 510010 561011 612012 765015 867017 1020020 1122022 1224024 1530030 1683033 1734034 2040040 2244044 2601051 2805055 3060060 3366066 3468068 4335085 4488088 5202102 5610110 6120120 6732132 6936136 8415165 8670170 9537187 10404204 11220220 13005255 13464264 16830330 17340340 19074374 20808408 22440440 26010510 28611561 33660660 34680680 38148748 47685935 52021020 57223122 67321320 76297496 95371870 104042040 114446244 143057805 190743740 228892488 286115610 381487480 572231220 1144462440