Search a number
-
+
2940033674916 = 22381321738993
BaseRepresentation
bin101010110010000111101…
…010011010111010100100
3101102001202000001100000000
4222302013222122322210
5341132142110044131
610130344405021300
7422260526622012
oct52620752327244
911361660040000
102940033674916
11a339523aa128
123b596b3b4830
13184323063600
14a2426acb8b2
1551724e43ce6
hex2ac87a9aea4

2940033674916 has 324 divisors, whose sum is σ = 8848275859332. Its totient is φ = 851390631936.

The previous prime is 2940033674891. The next prime is 2940033674947. The reversal of 2940033674916 is 6194763300492.

It is a happy number.

2940033674916 is a `hidden beast` number, since 2 + 94 + 0 + 0 + 3 + 3 + 67 + 491 + 6 = 666.

2940033674916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 372014604900 + 2568019070016 = 609930^2 + 1602504^2 .

It is a tau number, because it is divible by the number of its divisors (324).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 75379516 + ... + 75418508.

It is an arithmetic number, because the mean of its divisors is an integer number (27309493393).

Almost surely, 22940033674916 is an apocalyptic number.

2940033674916 is a gapful number since it is divisible by the number (26) 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 2940033674916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424137929666).

2940033674916 is an abundant number, since it is smaller than the sum of its proper divisors (5908242184416).

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

2940033674916 is a wasteful number, since it uses less digits than its factorization.

2940033674916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39064 (or 39028 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 2940033674916 in words is "two trillion, nine hundred forty billion, thirty-three million, six hundred seventy-four thousand, nine hundred sixteen".