Search a number
-
+
1120343340304 = 242919735334721
BaseRepresentation
bin10000010011011001101…
…010101011010100010000
310222002210122122112100001
4100103121222223110100
5121323430343342204
62214402325535344
7143641103160406
oct20233152532420
93862718575301
101120343340304
113a2153676731
12161168874554
1381856646a46
143c321205476
151e22193c4a4
hex104d9aab510

1120343340304 has 80 divisors (see below), whose sum is σ = 2263373014320. Its totient is φ = 536570101760.

The previous prime is 1120343340257. The next prime is 1120343340359. The reversal of 1120343340304 is 4030433430211.

It can be written as a sum of positive squares in 8 ways, for example, as 116635910400 + 1003707429904 = 341520^2 + 1001852^2 .

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 15 ways as a sum of consecutive naturals, for example, 32249664 + ... + 32284384.

It is an arithmetic number, because the mean of its divisors is an integer number (28292162679).

Almost surely, 21120343340304 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 1120343340304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131686507160).

1120343340304 is an abundant number, since it is smaller than the sum of its proper divisors (1143029674016).

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

1120343340304 is a wasteful number, since it uses less digits than its factorization.

1120343340304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35308 (or 35302 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 1120343340304 its reverse (4030433430211), we get a palindrome (5150776770515).

The spelling of 1120343340304 in words is "one trillion, one hundred twenty billion, three hundred forty-three million, three hundred forty thousand, three hundred four".

Divisors: 1 2 4 8 16 29 58 116 197 232 353 394 464 706 788 1412 1576 2824 3152 5648 5713 10237 11426 20474 22852 34721 40948 45704 69442 69541 81896 91408 138884 139082 163792 277768 278164 555536 556328 1006909 1112656 2013818 2016689 4027636 4033378 6840037 8055272 8066756 12256513 13680074 16110544 16133512 24513026 27360148 32267024 49026052 54720296 98052104 109440592 196104208 198361073 355438877 396722146 710877754 793444292 1421755508 1586888584 2414533061 2843511016 3173777168 4829066122 5687022032 9658132244 19316264488 38632528976 70021458769 140042917538 280085835076 560171670152 1120343340304