Search a number
-
+
1219003043328 = 2934719613623
BaseRepresentation
bin10001101111010010001…
…111100100111000000000
311022112110102021201210000
4101233102033210320000
5124433004234341303
62332000253440000
7154033013622510
oct21572217447000
94275412251700
101219003043328
1142aa81490884
121783017a0000
138ac4a57c745
1443000255840
1521a98176da3
hex11bd23e4e00

1219003043328 has 800 divisors, whose sum is σ = 4450008752640. Its totient is φ = 324457021440.

The previous prime is 1219003043317. The next prime is 1219003043359. The reversal of 1219003043328 is 8233403009121.

1219003043328 is a `hidden beast` number, since 1 + 2 + 19 + 0 + 0 + 304 + 332 + 8 = 666.

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 = 1219003043292 and 1219003043301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 336460525 + ... + 336464147.

Almost surely, 21219003043328 is an apocalyptic number.

1219003043328 is a gapful number since it is divisible by the number (18) 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 1219003043328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225004376320).

1219003043328 is an abundant number, since it is smaller than the sum of its proper divisors (3231005709312).

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

1219003043328 is an equidigital number, since it uses as much as digits as its factorization.

1219003043328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3740 (or 3715 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1219003043328 in words is "one trillion, two hundred nineteen billion, three million, forty-three thousand, three hundred twenty-eight".