Search a number
-
+
803042402000 = 24531093367357
BaseRepresentation
bin10111010111110010000…
…11101001111011010000
32211202210101221202221012
423223321003221323100
5101124112323331000
61412525041350052
7112006065535466
oct13537103517320
92752711852835
10803042402000
1128a628556413
1210b775338328
135a95a388b47
142ac20448836
1515d5045e735
hexbaf90e9ed0

803042402000 has 80 divisors (see below), whose sum is σ = 1943538357072. Its totient is φ = 320922201600.

The previous prime is 803042401981. The next prime is 803042402017. The reversal of 803042402000 is 204240308.

It can be written as a sum of positive squares in 8 ways, for example, as 8191698064 + 794850703936 = 90508^2 + 891544^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2002322 + ... + 2369678.

Almost surely, 2803042402000 is an apocalyptic number.

803042402000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 803042402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971769178536).

803042402000 is an abundant number, since it is smaller than the sum of its proper divisors (1140495955072).

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

803042402000 is a wasteful number, since it uses less digits than its factorization.

803042402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368473 (or 368457 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 803042402000 its reverse (204240308), we get a palindrome (803246642308).

The spelling of 803042402000 in words is "eight hundred three billion, forty-two million, four hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1093 2000 2186 4372 5465 8744 10930 17488 21860 27325 43720 54650 87440 109300 136625 218600 273250 367357 437200 546500 734714 1093000 1469428 1836785 2186000 2938856 3673570 5877712 7347140 9183925 14694280 18367850 29388560 36735700 45919625 73471400 91839250 146942800 183678500 367357000 401521201 734714000 803042402 1606084804 2007606005 3212169608 4015212010 6424339216 8030424020 10038030025 16060848040 20076060050 32121696080 40152120100 50190150125 80304240200 100380300250 160608480400 200760600500 401521201000 803042402000