Search a number
-
+
1144115712 = 293382763
BaseRepresentation
bin100010000110001…
…1101001000000000
32221201212002201000
41010030131020000
54320343200322
6305310212000
740231552215
oct10414351000
92851762630
101144115712
11537907083
1227b1b4000
1315305895c
14abd43b0c
156a69c3ac
hex4431d200

1144115712 has 80 divisors (see below), whose sum is σ = 3386702880. Its totient is φ = 381367296.

The previous prime is 1144115711. The next prime is 1144115719. The reversal of 1144115712 is 2175114411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1144115711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27558 + ... + 55205.

It is an arithmetic number, because the mean of its divisors is an integer number (42333786).

Almost surely, 21144115712 is an apocalyptic number.

1144115712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1144115712 is an abundant number, since it is smaller than the sum of its proper divisors (2242587168).

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

1144115712 is an frugal number, since it uses more digits than its factorization.

1144115712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82790 (or 82768 counting only the distinct ones).

The product of its digits is 1120, while the sum is 27.

The square root of 1144115712 is about 33824.7795558227. The cubic root of 1144115712 is about 1045.8995671235.

The spelling of 1144115712 in words is "one billion, one hundred forty-four million, one hundred fifteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 82763 165526 248289 331052 496578 662104 744867 993156 1324208 1489734 1986312 2234601 2648416 2979468 3972624 4469202 5296832 5958936 7945248 8938404 10593664 11917872 15890496 17876808 21187328 23835744 31780992 35753616 42374656 47671488 63561984 71507232 95342976 127123968 143014464 190685952 286028928 381371904 572057856 1144115712