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4233130000040 = 2353719791445287
BaseRepresentation
bin111101100110011010001…
…101011011111010101000
3112222200110002220202200002
4331212122031123322220
51023323422240000130
613000401215002132
7614555623212404
oct75463215337250
915880402822602
104233130000040
111392295589197
125844aa809348
1324924aaaca16
14108c55432104
15751a7c2ab45
hex3d99a35bea8

4233130000040 has 64 divisors (see below), whose sum is σ = 9786912220800. Its totient is φ = 1646654807808.

The previous prime is 4233129999983. The next prime is 4233130000069. The reversal of 4233130000040 is 400000313324.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4233129999967 and 4233130000021.

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, 2206277 + ... + 3651563.

It is an arithmetic number, because the mean of its divisors is an integer number (152920503450).

Almost surely, 24233130000040 is an apocalyptic number.

4233130000040 is a gapful number since it is divisible by the number (40) 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 4233130000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893456110400).

4233130000040 is an abundant number, since it is smaller than the sum of its proper divisors (5553782220760).

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

4233130000040 is a wasteful number, since it uses less digits than its factorization.

4233130000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447314 (or 1447310 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 4233130000040 its reverse (400000313324), we get a palindrome (4633130313364).

The spelling of 4233130000040 in words is "four trillion, two hundred thirty-three billion, one hundred thirty million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 1979 3958 7916 9895 15832 19790 39580 73223 79160 146446 292892 366115 585784 732230 1445287 1464460 2890574 2928920 5781148 7226435 11562296 14452870 28905740 53475619 57811480 106951238 213902476 267378095 427804952 534756190 1069512380 2139024760 2860222973 5720445946 11440891892 14301114865 22881783784 28602229730 57204459460 105828250001 114408918920 211656500002 423313000004 529141250005 846626000008 1058282500010 2116565000020 4233130000040