Search a number
-
+
4044200122144 = 2571317354123071
BaseRepresentation
bin111010110110011101000…
…111001001011100100000
3112022121210021000112212001
4322312131013021130200
51012230010212402034
612333514020013344
7565120022564020
oct72663507113440
915277707015761
104044200122144
11131a15459a636
12553962531254
1323449c09a470
14dda51675a80
15702eb597a14
hex3ad9d1c9720

4044200122144 has 192 divisors, whose sum is σ = 10379223816192. Its totient is φ = 1505300889600.

The previous prime is 4044200122141. The next prime is 4044200122153. The reversal of 4044200122144 is 4412210024404.

It is a happy number.

4044200122144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (4044200122141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175282129 + ... + 175305199.

It is an arithmetic number, because the mean of its divisors is an integer number (54058457376).

Almost surely, 24044200122144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4044200122144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189611908096).

4044200122144 is an abundant number, since it is smaller than the sum of its proper divisors (6335023694048).

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

4044200122144 is a wasteful number, since it uses less digits than its factorization.

4044200122144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26659 (or 26651 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 4044200122144 its reverse (4412210024404), we get a palindrome (8456410146548).

The spelling of 4044200122144 in words is "four trillion, forty-four billion, two hundred million, one hundred twenty-two thousand, one hundred forty-four".