Search a number
-
+
1118916144 = 243223337837
BaseRepresentation
bin100001010110001…
…0100111000110000
32212222102211101200
41002230110320300
54242420304034
6303010131200
736504426123
oct10254247060
92788384350
101118916144
11524665295
12272880b00
1314aa74978
14a88643ba
1568370a99
hex42b14e30

1118916144 has 60 divisors (see below), whose sum is σ = 3267569136. Its totient is φ = 356754816.

The previous prime is 1118916143. The next prime is 1118916157. The reversal of 1118916144 is 4416198111.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1118916099 and 1118916108.

It is not an unprimeable number, because it can be changed into a prime (1118916143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165607 + ... + 172230.

Almost surely, 21118916144 is an apocalyptic number.

It is an amenable number.

1118916144 is an abundant number, since it is smaller than the sum of its proper divisors (2148652992).

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

1118916144 is a wasteful number, since it uses less digits than its factorization.

1118916144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337874 (or 337865 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 1118916144 is about 33450.2039455666. The cubic root of 1118916144 is about 1038.1637172574.

The spelling of 1118916144 in words is "one billion, one hundred eighteen million, nine hundred sixteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 337837 675674 1013511 1351348 2027022 2702696 3040533 4054044 5405392 6081066 7770251 8108088 12162132 15540502 16216176 23310753 24324264 31081004 46621506 48648528 62162008 69932259 93243012 124324016 139864518 186486024 279729036 372972048 559458072 1118916144