Search a number
-
+
1134311200224 = 25311815741669
BaseRepresentation
bin10000100000011010001…
…101110101010111100000
311000102212002122100000020
4100200122031311113200
5122041032131401344
62225032333353440
7144644201055156
oct20403215652740
94012762570006
101134311200224
113a8071112614
12163a06638880
1382c713b1807
143cc883133d6
151e78cd22719
hex1081a3755e0

1134311200224 has 24 divisors (see below), whose sum is σ = 2977566900840. Its totient is φ = 378103733376.

The previous prime is 1134311200223. The next prime is 1134311200237. The reversal of 1134311200224 is 4220021134311.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×11343112002242 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1134311200194 and 1134311200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134311200223) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 5907870739 + ... + 5907870930.

It is an arithmetic number, because the mean of its divisors is an integer number (124065287535).

Almost surely, 21134311200224 is an apocalyptic number.

It is an amenable number.

1134311200224 is an abundant number, since it is smaller than the sum of its proper divisors (1843255700616).

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

1134311200224 is a wasteful number, since it uses less digits than its factorization.

1134311200224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11815741682 (or 11815741674 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1134311200224 its reverse (4220021134311), we get a palindrome (5354332334535).

The spelling of 1134311200224 in words is "one trillion, one hundred thirty-four billion, three hundred eleven million, two hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 11815741669 23631483338 35447225007 47262966676 70894450014 94525933352 141788900028 189051866704 283577800056 378103733408 567155600112 1134311200224