Search a number
-
+
1334956450048 = 28132196179337
BaseRepresentation
bin10011011011010001100…
…110101110000100000000
311201121202102002002212021
4103123101212232010000
5133332442322400143
62501134233411224
7165306315413044
oct23332146560400
94647672062767
101334956450048
11475174128531
12196882269b14
1398b692b0800
144887dd9a024
1524ad2c51ced
hex136d19ae100

1334956450048 has 432 divisors, whose sum is σ = 3135453484800. Its totient is φ = 565187051520.

The previous prime is 1334956450001. The next prime is 1334956450049. The reversal of 1334956450048 is 8400546594331.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 1334956449977 and 1334956450004.

It is not an unprimeable number, because it can be changed into a prime (1334956450049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3961294936 + ... + 3961295272.

Almost surely, 21334956450048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1334956450048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567726742400).

1334956450048 is an abundant number, since it is smaller than the sum of its proper divisors (1800497034752).

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

1334956450048 is a wasteful number, since it uses less digits than its factorization.

1334956450048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 52.

The spelling of 1334956450048 in words is "one trillion, three hundred thirty-four billion, nine hundred fifty-six million, four hundred fifty thousand, forty-eight".