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40300006000 = 245399120333
BaseRepresentation
bin100101100010000100…
…010100101001110000
310212000120120102100211
4211202010110221300
51130013300143000
630302532553504
72624446253602
oct454204245160
9125016512324
1040300006000
1116100336a91
127988482894
133a53282cc7
141d44383172
1510acee77ba
hex962114a70

40300006000 has 80 divisors (see below), whose sum is σ = 97548542208. Its totient is φ = 16102944000.

The previous prime is 40300005997. The next prime is 40300006001. The reversal of 40300006000 is 60000304.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40300006001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1971834 + ... + 1992166.

Almost surely, 240300006000 is an apocalyptic number.

40300006000 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 40300006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48774271104).

40300006000 is an abundant number, since it is smaller than the sum of its proper divisors (57248536208).

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

40300006000 is a wasteful number, since it uses less digits than its factorization.

40300006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21347 (or 21331 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 40300006000 its reverse (60000304), we get a palindrome (40360006304).

The spelling of 40300006000 in words is "forty billion, three hundred million, six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 991 1000 1982 2000 3964 4955 7928 9910 15856 19820 20333 24775 39640 40666 49550 79280 81332 99100 101665 123875 162664 198200 203330 247750 325328 396400 406660 495500 508325 813320 991000 1016650 1626640 1982000 2033300 2541625 4066600 5083250 8133200 10166500 20150003 20333000 40300006 40666000 80600012 100750015 161200024 201500030 322400048 403000060 503750075 806000120 1007500150 1612000240 2015000300 2518750375 4030000600 5037500750 8060001200 10075001500 20150003000 40300006000