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36243409440 = 2535731347959
BaseRepresentation
bin100001110000010001…
…101000101000100000
310110112212100222000210
4201300101220220200
51043211303100230
624352222014120
72422100616510
oct416021505040
9113485328023
1036243409440
1114409506a47
127035a17340
133557a06804
141a7b6d9840
15e21ce2eb0
hex870468a20

36243409440 has 192 divisors, whose sum is σ = 134685573120. Its totient is φ = 8016952320.

The previous prime is 36243409421. The next prime is 36243409451. The reversal of 36243409440 is 4490434263.

It is a happy number.

It is a super-2 number, since 2×362434094402 (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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69820 + ... + 278139.

It is an arithmetic number, because the mean of its divisors is an integer number (701487360).

Almost surely, 236243409440 is an apocalyptic number.

36243409440 is a gapful number since it is divisible by the number (30) 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 36243409440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67342786560).

36243409440 is an abundant number, since it is smaller than the sum of its proper divisors (98442163680).

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

36243409440 is a wasteful number, since it uses less digits than its factorization.

36243409440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348015 (or 348007 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

The spelling of 36243409440 in words is "thirty-six billion, two hundred forty-three million, four hundred nine thousand, four hundred forty".