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440113133432340 = 22335815024321171
BaseRepresentation
bin110010000010001111101001…
…0111110101010111000010100
32010201022101220222200221221000
41210010133102332222320110
5430141303144124313330
64200013103213223300
7161463060505216644
oct14404372276527024
92121271828627830
10440113133432340
11118262a28107985
1241440a59a91b30
1315b7664b544794
147a97837124524
1535d3545092560
hex19047d2faae14

440113133432340 has 48 divisors (see below), whose sum is σ = 1369240859568960. Its totient is φ = 117363502248480.

The previous prime is 440113133432279. The next prime is 440113133432351. The reversal of 440113133432340 is 43234331311044.

440113133432340 is a `hidden beast` number, since 4 + 4 + 0 + 11 + 313 + 3 + 4 + 323 + 4 + 0 = 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 = 440113133432295 and 440113133432304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407512160046 + ... + 407512161125.

It is an arithmetic number, because the mean of its divisors is an integer number (28525851241020).

Almost surely, 2440113133432340 is an apocalyptic number.

It is an amenable number.

440113133432340 is an abundant number, since it is smaller than the sum of its proper divisors (929127726136620).

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

440113133432340 is a wasteful number, since it uses less digits than its factorization.

440113133432340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815024321189 (or 815024321181 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 440113133432340 its reverse (43234331311044), we get a palindrome (483347464743384).

The spelling of 440113133432340 in words is "four hundred forty trillion, one hundred thirteen billion, one hundred thirty-three million, four hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 815024321171 1630048642342 2445072963513 3260097284684 4075121605855 4890145927026 7335218890539 8150243211710 9780291854052 12225364817565 14670437781078 16300486423420 22005656671617 24450729635130 29340875562156 36676094452695 44011313343234 48901459270260 73352188905390 88022626686468 110028283358085 146704377810780 220056566716170 440113133432340