Search a number
-
+
1200343243104 = 25385717227
BaseRepresentation
bin10001011101111010000…
…010000101100101100000
311020202021222120200000000
4101131322002011211200
5124131300332234404
62315232521300000
7152502424135545
oct21357202054540
94222258520000
101200343243104
11423076516785
12174774634600
1389265746535
144214dd56bcc
1521354ddc339
hex1177a085960

1200343243104 has 108 divisors (see below), whose sum is σ = 3544584167124. Its totient is φ = 400114344384.

The previous prime is 1200343243061. The next prime is 1200343243159. The reversal of 1200343243104 is 4013423430021.

1200343243104 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 343 + 2 + 4 + 310 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2648662 + ... + 3068565.

Almost surely, 21200343243104 is an apocalyptic number.

It is an amenable number.

1200343243104 is an abundant number, since it is smaller than the sum of its proper divisors (2344240924020).

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

1200343243104 is an frugal number, since it uses more digits than its factorization.

1200343243104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5717261 (or 5717232 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1200343243104 its reverse (4013423430021), we get a palindrome (5213766673125).

The spelling of 1200343243104 in words is "one trillion, two hundred billion, three hundred forty-three million, two hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2187 2592 2916 3888 4374 5832 6561 7776 8748 11664 13122 17496 23328 26244 34992 52488 69984 104976 209952 5717227 11434454 17151681 22868908 34303362 45737816 51455043 68606724 91475632 102910086 137213448 154365129 182951264 205820172 274426896 308730258 411640344 463095387 548853792 617460516 823280688 926190774 1234921032 1389286161 1646561376 1852381548 2469842064 2778572322 3704763096 4167858483 4939684128 5557144644 7409526192 8335716966 11114289288 12503575449 14819052384 16671433932 22228578576 25007150898 33342867864 37510726347 44457157152 50014301796 66685735728 75021452694 100028603592 133371471456 150042905388 200057207184 300085810776 400114414368 600171621552 1200343243104