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32143216140 = 223257173148407
BaseRepresentation
bin11101111011111000…
…101000111000001100
310001222010010120012200
4131323320220320030
51011312130404030
622433312401500
72215352554260
oct357370507014
9101863116180
1032143216140
11126a500a042
126290846290
133053404629
1417acd440a0
15c81d7ad60
hex77be28e0c

32143216140 has 288 divisors, whose sum is σ = 121792978944. Its totient is φ = 6691645440.

The previous prime is 32143216111. The next prime is 32143216141. The reversal of 32143216140 is 4161234123.

It is a happy number.

32143216140 is a `hidden beast` number, since 3 + 2 + 1 + 43 + 2 + 1 + 614 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (32143216141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 639817 + ... + 688223.

It is an arithmetic number, because the mean of its divisors is an integer number (422892288).

Almost surely, 232143216140 is an apocalyptic number.

32143216140 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 32143216140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60896489472).

32143216140 is an abundant number, since it is smaller than the sum of its proper divisors (89649762804).

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

32143216140 is a wasteful number, since it uses less digits than its factorization.

32143216140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48477 (or 48472 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 32143216140 in words is "thirty-two billion, one hundred forty-three million, two hundred sixteen thousand, one hundred forty".