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1134440000 = 265479359
BaseRepresentation
bin100001110011110…
…0010111001000000
32221001122112010022
41003213202321000
54310404040000
6304322553012
740053403151
oct10347427100
92831575108
101134440000
115323a8621
12277b08768
1315104b895
14aa945928
15698da585
hex439e2e40

1134440000 has 140 divisors (see below), whose sum is σ = 2856585600. Its totient is φ = 446784000.

The previous prime is 1134439963. The next prime is 1134440053. The reversal of 1134440000 is 444311.

It is a super-2 number, since 2×11344400002 = 2573908227200000000, which contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 3159821 + ... + 3160179.

Almost surely, 21134440000 is an apocalyptic number.

1134440000 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 1134440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428292800).

1134440000 is an abundant number, since it is smaller than the sum of its proper divisors (1722145600).

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

1134440000 is an frugal number, since it uses more digits than its factorization.

1134440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1134440000 is about 33681.4488999508. The cubic root of 1134440000 is about 1042.9428483119.

Adding to 1134440000 its reverse (444311), we get a palindrome (1134884311).

The spelling of 1134440000 in words is "one billion, one hundred thirty-four million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 79 80 100 125 158 160 200 250 316 320 359 395 400 500 625 632 718 790 800 1000 1250 1264 1436 1580 1600 1795 1975 2000 2500 2528 2872 3160 3590 3950 4000 5000 5056 5744 6320 7180 7900 8000 8975 9875 10000 11488 12640 14360 15800 17950 19750 20000 22976 25280 28361 28720 31600 35900 39500 40000 44875 49375 56722 57440 63200 71800 79000 89750 98750 113444 114880 126400 141805 143600 158000 179500 197500 224375 226888 283610 287200 316000 359000 395000 448750 453776 567220 574400 632000 709025 718000 790000 897500 907552 1134440 1418050 1436000 1580000 1795000 1815104 2268880 2836100 2872000 3160000 3545125 3590000 4537760 5672200 7090250 7180000 9075520 11344400 14180500 14360000 17725625 22688800 28361000 35451250 45377600 56722000 70902500 113444000 141805000 226888000 283610000 567220000 1134440000