Search a number
-
+
1421005820832 = 2533131719937397
BaseRepresentation
bin10100101011011010100…
…011000001001110100000
312000211212100011001112000
4110223122203001032200
5141240204442231312
63004445010204000
7204443564120133
oct24533243011640
95024770131460
101421005820832
114a87108163a4
121ab497b83600
13a40007a9260
144cac431621a
1526e6c35badc
hex14ada8c13a0

1421005820832 has 384 divisors, whose sum is σ = 4749845184000. Its totient is φ = 409434144768.

The previous prime is 1421005820791. The next prime is 1421005820873. The reversal of 1421005820832 is 2380285001241.

It is a happy number.

1421005820832 is a `hidden beast` number, since 1 + 42 + 1 + 0 + 0 + 582 + 0 + 8 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (1421005820791) and next prime (1421005820873).

It is a super-3 number, since 3×14210058208323 (a number of 37 digits) contains 333 as substring.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 37979158 + ... + 38016554.

It is an arithmetic number, because the mean of its divisors is an integer number (12369388500).

Almost surely, 21421005820832 is an apocalyptic number.

1421005820832 is a gapful number since it is divisible by the number (12) 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 1421005820832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374922592000).

1421005820832 is an abundant number, since it is smaller than the sum of its proper divisors (3328839363168).

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

1421005820832 is a wasteful number, since it uses less digits than its factorization.

1421005820832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37645 (or 37631 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 1421005820832 in words is "one trillion, four hundred twenty-one billion, five million, eight hundred twenty thousand, eight hundred thirty-two".