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1141433160 = 233571518999
BaseRepresentation
bin100010000001000…
…1110001101001000
32221112210210221020
41010002032031020
54314201330120
6305132512440
740200010320
oct10402161510
92845723836
101141433160
1153634469a
1227a31b720
1315262994a
14ab846280
156a31c640
hex4408e348

1141433160 has 128 divisors (see below), whose sum is σ = 3939840000. Its totient is φ = 259142400.

The previous prime is 1141433149. The next prime is 1141433177. The reversal of 1141433160 is 613341411.

1141433160 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1141433160.

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, 122341 + ... + 131339.

It is an arithmetic number, because the mean of its divisors is an integer number (30780000).

Almost surely, 21141433160 is an apocalyptic number.

1141433160 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 1141433160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969920000).

1141433160 is an abundant number, since it is smaller than the sum of its proper divisors (2798406840).

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

1141433160 is a wasteful number, since it uses less digits than its factorization.

1141433160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9171 (or 9167 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1141433160 is about 33785.1026341493. The cubic root of 1141433160 is about 1045.0815042921.

Adding to 1141433160 its reverse (613341411), we get a palindrome (1754774571).

The spelling of 1141433160 in words is "one billion, one hundred forty-one million, four hundred thirty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 151 168 210 280 302 420 453 604 755 840 906 1057 1208 1510 1812 2114 2265 3020 3171 3624 4228 4530 5285 6040 6342 8456 8999 9060 10570 12684 15855 17998 18120 21140 25368 26997 31710 35996 42280 44995 53994 62993 63420 71992 89990 107988 125986 126840 134985 179980 188979 215976 251972 269970 314965 359960 377958 503944 539940 629930 755916 944895 1079880 1259860 1358849 1511832 1889790 2519720 2717698 3779580 4076547 5435396 6794245 7559160 8153094 9511943 10870792 13588490 16306188 19023886 20382735 27176980 28535829 32612376 38047772 40765470 47559715 54353960 57071658 76095544 81530940 95119430 114143316 142679145 163061880 190238860 228286632 285358290 380477720 570716580 1141433160