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3061741213440 = 28375721317101
BaseRepresentation
bin101100100011011101111…
…111110101011100000000
3101211200220000020220000000
4230203131333311130000
5400130421222312230
610302313340000000
7434126541624600
oct54433577653400
911750800226000
103061741213440
11a80528106208
12415476b30000
1319294ac365b0
14a8290b1cc00
1554999c8bb60
hex2c8ddff5700

3061741213440 has 3456 divisors, whose sum is σ = 14734030429440. Its totient is φ = 601974374400.

The previous prime is 3061741213379. The next prime is 3061741213451. The reversal of 3061741213440 is 443121471603.

3061741213440 is a `hidden beast` number, since 3 + 0 + 617 + 4 + 1 + 2 + 1 + 34 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 = 3061741213395 and 3061741213404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 30314269390 + ... + 30314269490.

It is an arithmetic number, because the mean of its divisors is an integer number (4263318990).

Almost surely, 23061741213440 is an apocalyptic number.

3061741213440 is a gapful number since it is divisible by the number (30) 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 3061741213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7367015214720).

3061741213440 is an abundant number, since it is smaller than the sum of its proper divisors (11672289216000).

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

3061741213440 is a wasteful number, since it uses less digits than its factorization.

3061741213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 3061741213440 in words is "three trillion, sixty-one billion, seven hundred forty-one million, two hundred thirteen thousand, four hundred forty".