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4332130000000 = 27571139383
BaseRepresentation
bin111111000010100111000…
…100011101110010000000
3120100010222120212211202021
4333002213010131302000
51031434200240000000
613114053020331224
7624662135300035
oct77024704356200
916303876784667
104332130000000
1114202784a0480
1259b7196a3b14
1325569738225a
1410d96774538c
1577a4e28411a
hex3f0a711dc80

4332130000000 has 256 divisors, whose sum is σ = 11769016746240. Its totient is φ = 1575280000000.

The previous prime is 4332129999983. The next prime is 4332130000001. The reversal of 4332130000000 is 312334.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4332130000001) 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 31 ways as a sum of consecutive naturals, for example, 109980309 + ... + 110019691.

It is an arithmetic number, because the mean of its divisors is an integer number (45972721665).

Almost surely, 24332130000000 is an apocalyptic number.

4332130000000 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 4332130000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5884508373120).

4332130000000 is an abundant number, since it is smaller than the sum of its proper divisors (7436886746240).

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

4332130000000 is an frugal number, since it uses more digits than its factorization.

4332130000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39443 (or 39401 counting only the distinct ones).

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

Adding to 4332130000000 its reverse (312334), we get a palindrome (4332130312334).

The spelling of 4332130000000 in words is "four trillion, three hundred thirty-two billion, one hundred thirty million", and thus it is an aban number.