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1140314000 = 24537471733
BaseRepresentation
bin100001111110111…
…1100111110010000
32221110200221201212
41003331330332100
54313410022000
6305052515252
740154336420
oct10375747620
92843627655
101140314000
1153574a871
12279a7bb28
13152327417
14ab634480
156a19ac35
hex43f7cf90

1140314000 has 160 divisors (see below), whose sum is σ = 3220079616. Its totient is φ = 382425600.

The previous prime is 1140313969. The next prime is 1140314011. The reversal of 1140314000 is 4130411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 657134 + ... + 658866.

Almost surely, 21140314000 is an apocalyptic number.

1140314000 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 1140314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610039808).

1140314000 is an abundant number, since it is smaller than the sum of its proper divisors (2079765616).

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

1140314000 is a wasteful number, since it uses less digits than its factorization.

1140314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1140314000 is about 33768.5356508096. The cubic root of 1140314000 is about 1044.7398297701.

Adding to 1140314000 its reverse (4130411), we get a palindrome (1144444411).

The spelling of 1140314000 in words is "one billion, one hundred forty million, three hundred fourteen thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 47 50 56 70 80 94 100 112 125 140 175 188 200 235 250 280 329 350 376 400 470 500 560 658 700 752 875 940 1000 1175 1316 1400 1645 1733 1750 1880 2000 2350 2632 2800 3290 3466 3500 3760 4700 5264 5875 6580 6932 7000 8225 8665 9400 11750 12131 13160 13864 14000 16450 17330 18800 23500 24262 26320 27728 32900 34660 41125 43325 47000 48524 60655 65800 69320 81451 82250 86650 94000 97048 121310 131600 138640 162902 164500 173300 194096 216625 242620 303275 325804 329000 346600 407255 433250 485240 570157 606550 651608 658000 693200 814510 866500 970480 1140314 1213100 1303216 1516375 1629020 1733000 2036275 2280628 2426200 2850785 3032750 3258040 3466000 4072550 4561256 4852400 5701570 6065500 6516080 8145100 9122512 10181375 11403140 12131000 14253925 16290200 20362750 22806280 24262000 28507850 32580400 40725500 45612560 57015700 71269625 81451000 114031400 142539250 162902000 228062800 285078500 570157000 1140314000