Search a number
-
+
1404682684416 = 21134112333469
BaseRepresentation
bin10100011100001101100…
…111001100100000000000
311222021201202021210220000
4110130031213030200000
5141003242231400131
62553145144520000
7203325226546134
oct24341547144000
94867652253800
101404682684416
114a17a4834410
121a82a1480000
13a25cbab435b
144bdb64ab3c4
15268142d6ce6
hex1470d9cc800

1404682684416 has 480 divisors, whose sum is σ = 4776254683200. Its totient is φ = 407142236160.

The previous prime is 1404682684411. The next prime is 1404682684421. The reversal of 1404682684416 is 6144862864041.

1404682684416 is a `hidden beast` number, since 1 + 40 + 468 + 26 + 84 + 41 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1404682684411) and next prime (1404682684421).

It is a super-2 number, since 2×14046826844162 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1404682684411) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41952930 + ... + 41986398.

It is an arithmetic number, because the mean of its divisors is an integer number (9950530590).

Almost surely, 21404682684416 is an apocalyptic number.

1404682684416 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 1404682684416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388127341600).

1404682684416 is an abundant number, since it is smaller than the sum of its proper divisors (3371571998784).

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

1404682684416 is a wasteful number, since it uses less digits than its factorization.

1404682684416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33537 (or 33508 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 1404682684416 in words is "one trillion, four hundred four billion, six hundred eighty-two million, six hundred eighty-four thousand, four hundred sixteen".