Search a number
-
+
440243233104 = 24397251376709
BaseRepresentation
bin1100110100000001000…
…10101010000101010000
31120002100022022102120210
412122000202222011100
524203104231424404
6534124524204120
743543431511143
oct6320042520520
91502308272523
10440243233104
1115a784912034
12713a4699640
133268cc041cc
1417444ba805a
15b6b9929689
hex66808aa150

440243233104 has 80 divisors (see below), whose sum is σ = 1153600539840. Its totient is φ = 144655872000.

The previous prime is 440243233103. The next prime is 440243233121. The reversal of 440243233104 is 401332342044.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440243233103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 980302 + ... + 1357010.

It is an arithmetic number, because the mean of its divisors is an integer number (14420006748).

Almost surely, 2440243233104 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 440243233104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576800269920).

440243233104 is an abundant number, since it is smaller than the sum of its proper divisors (713357306736).

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

440243233104 is a wasteful number, since it uses less digits than its factorization.

440243233104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377068 (or 377062 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 440243233104 its reverse (401332342044), we get a palindrome (841575575148).

The spelling of 440243233104 in words is "four hundred forty billion, two hundred forty-three million, two hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 251 291 388 502 582 753 776 1004 1164 1506 1552 2008 2328 3012 4016 4656 6024 12048 24347 48694 73041 97388 146082 194776 292164 376709 389552 584328 753418 1130127 1168656 1506836 2260254 3013672 4520508 6027344 9041016 18082032 36540773 73081546 94553959 109622319 146163092 189107918 219244638 283661877 292326184 378215836 438489276 567323754 584652368 756431672 876978552 1134647508 1512863344 1753957104 2269295016 4538590032 9171734023 18343468046 27515202069 36686936092 55030404138 73373872184 110060808276 146747744368 220121616552 440243233104