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342201332000 = 25531110177003
BaseRepresentation
bin1001111101011001100…
…10011111000100100000
31012201021121011211001102
410332230302133010200
521101312020111000
6421112150053532
733503032220603
oct4765462370440
91181247154042
10342201332000
11122143804690
12563a264a2a8
1326366c8ab88
14127c3c1633a
158d7c5773d5
hex4facc9f120

342201332000 has 192 divisors, whose sum is σ = 926317461888. Its totient is φ = 123203200000.

The previous prime is 342201331957. The next prime is 342201332017. The reversal of 342201332000 is 233102243.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 4405499 + ... + 4482501.

It is an arithmetic number, because the mean of its divisors is an integer number (4824570114).

Almost surely, 2342201332000 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 342201332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463158730944).

342201332000 is an abundant number, since it is smaller than the sum of its proper divisors (584116129888).

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

342201332000 is a wasteful number, since it uses less digits than its factorization.

342201332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77140 (or 77122 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 342201332000 its reverse (233102243), we get a palindrome (342434434243).

The spelling of 342201332000 in words is "three hundred forty-two billion, two hundred one million, three hundred thirty-two thousand".