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1332274331136 = 29372149118801
BaseRepresentation
bin10011011000110001101…
…111001111111000000000
311201100211111012100101210
4103120301233033320000
5133311444212044021
62500012142330120
7165152666652300
oct23306157177000
94640744170353
101332274331136
11474018144931
12196253b89940
139882c717bb8
14486a7a9d600
15249c754ee76
hex13631bcfe00

1332274331136 has 240 divisors, whose sum is σ = 4156478053200. Its totient is φ = 378091929600.

The previous prime is 1332274331099. The next prime is 1332274331149. The reversal of 1332274331136 is 6311334722331.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1332274331094 and 1332274331103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11154936 + ... + 11273736.

It is an arithmetic number, because the mean of its divisors is an integer number (17318658555).

Almost surely, 21332274331136 is an apocalyptic number.

1332274331136 is a gapful number since it is divisible by the number (16) 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 1332274331136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078239026600).

1332274331136 is an abundant number, since it is smaller than the sum of its proper divisors (2824203722064).

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

1332274331136 is a wasteful number, since it uses less digits than its factorization.

1332274331136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118985 (or 118962 counting only the distinct ones).

The product of its digits is 163296, while the sum is 39.

The spelling of 1332274331136 in words is "one trillion, three hundred thirty-two billion, two hundred seventy-four million, three hundred thirty-one thousand, one hundred thirty-six".