Search a number
-
+
1011110144 = 28111572287
BaseRepresentation
bin111100010001000…
…101000100000000
32121110120201100212
4330101011010000
54032321011034
6244155333252
734025202662
oct7421050400
92543521325
101011110144
11479822020
12242751228
1313162a135
1498400532
155db782ce
hex3c445100

1011110144 has 72 divisors (see below), whose sum is σ = 2216742528. Its totient is φ = 456468480.

The previous prime is 1011110131. The next prime is 1011110159. The reversal of 1011110144 is 4410111101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 440969 + ... + 443255.

Almost surely, 21011110144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108371264).

1011110144 is an abundant number, since it is smaller than the sum of its proper divisors (1205632384).

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

1011110144 is a wasteful number, since it uses less digits than its factorization.

1011110144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

The square root of 1011110144 is about 31797.9581734425. The cubic root of 1011110144 is about 1003.6897503314.

Adding to 1011110144 its reverse (4410111101), we get a palindrome (5421221245).

It can be divided in two parts, 10111101 and 44, that multiplied together give a palindrome (444888444).

The spelling of 1011110144 in words is "one billion, eleven million, one hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 157 176 256 314 352 628 704 1256 1408 1727 2287 2512 2816 3454 4574 5024 6908 9148 10048 13816 18296 20096 25157 27632 36592 40192 50314 55264 73184 100628 110528 146368 201256 221056 292736 359059 402512 442112 585472 718118 805024 1436236 1610048 2872472 3220096 3949649 5744944 6440192 7899298 11489888 15798596 22979776 31597192 45959552 63194384 91919104 126388768 252777536 505555072 1011110144