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332102142420000 = 253546022391909
BaseRepresentation
bin100101110000010111000111…
…0001110100110010000100000
31121112212122200022110202021220
41023200232032032212100200
5322012130141424420000
63134153341255015040
7126644405453004321
oct11340561616462040
91545778608422256
10332102142420000
11968aa8005692a7
12312b775366a480
1311340136708bb4
145c01b88062448
15285db139961a0
hex12e0b8e3a6420

332102142420000 has 240 divisors, whose sum is σ = 1089391389166080. Its totient is φ = 88558137216000.

The previous prime is 332102142419989. The next prime is 332102142420019. The reversal of 332102142420000 is 24241201233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3321021424200002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3613334046 + ... + 3613425954.

It is an arithmetic number, because the mean of its divisors is an integer number (4539130788192).

Almost surely, 2332102142420000 is an apocalyptic number.

332102142420000 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 332102142420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544695694583040).

332102142420000 is an abundant number, since it is smaller than the sum of its proper divisors (757289246746080).

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

332102142420000 is an equidigital number, since it uses as much as digits as its factorization.

332102142420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152165 (or 152142 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 332102142420000 its reverse (24241201233), we get a palindrome (332126383621233).

The spelling of 332102142420000 in words is "three hundred thirty-two trillion, one hundred two billion, one hundred forty-two million, four hundred twenty thousand".