Search a number
-
+
2744221023144 = 233323552379433
BaseRepresentation
bin100111111011110000010…
…100011011101110101000
3100201100022110222222102000
4213323300110123232220
5324430131040220034
65500402220211000
7402156232553226
oct47736024335650
910640273888360
102744221023144
119688aa2536a7
12383a22099a60
1316ba184105a3
1496b6cbabb16
154b5b4400599
hex27ef051bba8

2744221023144 has 64 divisors (see below), whose sum is σ = 7954263849600. Its totient is φ = 874969020288.

The previous prime is 2744221023143. The next prime is 2744221023149. The reversal of 2744221023144 is 4413201224472.

2744221023144 is a `hidden beast` number, since 2 + 74 + 422 + 1 + 0 + 23 + 144 = 666.

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 = 2744221023099 and 2744221023108.

It is not an unprimeable number, because it can be changed into a prime (2744221023143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 276184749 + ... + 276194684.

It is an arithmetic number, because the mean of its divisors is an integer number (124285372650).

Almost surely, 22744221023144 is an apocalyptic number.

2744221023144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2744221023144 is an abundant number, since it is smaller than the sum of its proper divisors (5210042826456).

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

2744221023144 is a wasteful number, since it uses less digits than its factorization.

2744221023144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552379471 (or 552379461 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 2744221023144 in words is "two trillion, seven hundred forty-four billion, two hundred twenty-one million, twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 552379433 1104758866 1657138299 2209517732 3314276598 4419035464 4971414897 6628553196 9942829794 12704726959 13257106392 14914244691 19885659588 25409453918 29828489382 38114180877 39771319176 50818907836 59656978764 76228361754 101637815672 114342542631 119313957528 152456723508 228685085262 304913447016 343027627893 457370170524 686055255786 914740341048 1372110511572 2744221023144