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328801213440 = 2103457532137
BaseRepresentation
bin1001100100011100001…
…01000101110000000000
31011102200201111021010000
410302032011011300000
520341341102312230
6411014343040000
732520000125550
oct4621605056000
91142621437100
10328801213440
11117497793237
1253882a40000
132500ca3593b
1411cb2295160
158845e3bb60
hex4c8e145c00

328801213440 has 880 divisors, whose sum is σ = 1372606057152. Its totient is φ = 73702047744.

The previous prime is 328801213439. The next prime is 328801213463. The reversal of 328801213440 is 44312108823.

It is a happy number.

328801213440 is a `hidden beast` number, since 328 + 80 + 1 + 213 + 4 + 40 = 666.

It is a super-2 number, since 2×3288012134402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 328801213395 and 328801213404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 153860052 + ... + 153862188.

Almost surely, 2328801213440 is an apocalyptic number.

328801213440 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 328801213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686303028576).

328801213440 is an abundant number, since it is smaller than the sum of its proper divisors (1043804843712).

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

328801213440 is a wasteful number, since it uses less digits than its factorization.

328801213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 328801213440 in words is "three hundred twenty-eight billion, eight hundred one million, two hundred thirteen thousand, four hundred forty".