Search a number
-
+
1219135230144 = 2636132010023
BaseRepresentation
bin10001101111011010000…
…111110101000011000000
311022112210122000112000000
4101233122013311003000
5124433242104331034
62332021335000000
7154036210322016
oct21573207650300
94275718015000
101219135230144
1143003a066787
12178339b09000
138ac6ba826b0
1443013a248b6
1521aa4a88599
hex11bda1f50c0

1219135230144 has 196 divisors, whose sum is σ = 3906188180496. Its totient is φ = 375118345728.

The previous prime is 1219135230121. The next prime is 1219135230191. The reversal of 1219135230144 is 4410325319121.

1219135230144 is a `hidden beast` number, since 1 + 2 + 1 + 91 + 3 + 523 + 0 + 1 + 44 = 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 = 1219135230099 and 1219135230108.

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 27 ways as a sum of consecutive naturals, for example, 398484 + ... + 1611539.

Almost surely, 21219135230144 is an apocalyptic number.

It is an amenable number.

1219135230144 is an abundant number, since it is smaller than the sum of its proper divisors (2687052950352).

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

1219135230144 is an equidigital number, since it uses as much as digits as its factorization.

1219135230144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010066 (or 2010041 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1219135230144 in words is "one trillion, two hundred nineteen billion, one hundred thirty-five million, two hundred thirty thousand, one hundred forty-four".