[go: up one dir, main page]

Search a number
-
+
1360134144 = 217321153
BaseRepresentation
bin101000100010010…
…0000000000000000
310111210022222021200
41101010200000000
510241143243034
6342544221200
745463643445
oct12104400000
93453288250
101360134144
1163883aa06
1231b60a800
13188a31005
14cc8d59cc
157e61ca99
hex51120000

1360134144 has 108 divisors (see below), whose sum is σ = 3932669286. Its totient is φ = 452984832.

The previous prime is 1360134121. The next prime is 1360134151. The reversal of 1360134144 is 4414310631.

1360134144 is a `hidden beast` number, since 13 + 601 + 3 + 4 + 1 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 991494144 + 368640000 = 31488^2 + 19200^2 .

It is a super-2 number, since 2×13601341442 = 3699929779349225472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1179072 + ... + 1180224.

Almost surely, 21360134144 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 1360134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966334643).

1360134144 is an abundant number, since it is smaller than the sum of its proper divisors (2572535142).

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

1360134144 is an frugal number, since it uses more digits than its factorization.

1360134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1360134144 is about 36879.9965292840. The cubic root of 1360134144 is about 1107.9680772081.

Adding to 1360134144 its reverse (4414310631), we get a palindrome (5774444775).

The spelling of 1360134144 in words is "one billion, three hundred sixty million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1153 1536 2048 2304 2306 3072 3459 4096 4608 4612 6144 6918 8192 9216 9224 10377 12288 13836 16384 18432 18448 20754 24576 27672 32768 36864 36896 41508 49152 55344 65536 73728 73792 83016 98304 110688 131072 147456 147584 166032 196608 221376 294912 295168 332064 393216 442752 589824 590336 664128 885504 1179648 1180672 1328256 1771008 2361344 2656512 3542016 4722688 5313024 7084032 9445376 10626048 14168064 18890752 21252096 28336128 37781504 42504192 56672256 75563008 85008384 113344512 151126016 170016768 226689024 340033536 453378048 680067072 1360134144