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40321003300 = 22522343340487
BaseRepresentation
bin100101100011010100…
…011010111100100100
310212002001002012020121
4211203110122330210
51130034134101200
630305003011324
72625122605324
oct454324327444
9125061065217
1040321003300
1116111178626
127993509b44
133a57725346
141d4708b284
1510aec93e1a
hex96351af24

40321003300 has 72 divisors (see below), whose sum is σ = 91513892736. Its totient is φ = 15391157760.

The previous prime is 40321003271. The next prime is 40321003319. The reversal of 40321003300 is 330012304.

It is a super-2 number, since 2×403210033002 (a number of 22 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 975657 + ... + 1016143.

It is an arithmetic number, because the mean of its divisors is an integer number (1271026288).

Almost surely, 240321003300 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 40321003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45756946368).

40321003300 is an abundant number, since it is smaller than the sum of its proper divisors (51192889436).

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

40321003300 is a wasteful number, since it uses less digits than its factorization.

40321003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40957 (or 40950 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 40321003300 its reverse (330012304), we get a palindrome (40651015604).

The spelling of 40321003300 in words is "forty billion, three hundred twenty-one million, three thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 433 460 575 866 1150 1732 2165 2300 4330 8660 9959 10825 19918 21650 39836 40487 43300 49795 80974 99590 161948 199180 202435 248975 404870 497950 809740 931201 995900 1012175 1862402 2024350 3724804 4048700 4656005 9312010 17530871 18624020 23280025 35061742 46560050 70123484 87654355 93120100 175308710 350617420 403210033 438271775 806420066 876543550 1612840132 1753087100 2016050165 4032100330 8064200660 10080250825 20160501650 40321003300