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311441034120040 = 235111719141173901
BaseRepresentation
bin100011011010000010000010…
…0001101010000101101101000
31111211201110202011002220200001
41012310010010031100231220
5311310122214213320130
63022214011431352344
7122412605105064436
oct10664040415205550
91454643664086601
10311441034120040
1190264445567530
122ab1b4382226b4
13104a19c0541cb6
1456c9b7dc0bd56
1526014690b96ca
hex11b4104350b68

311441034120040 has 64 divisors (see below), whose sum is σ = 764490661038720. Its totient is φ = 113244694560000.

The previous prime is 311441034120037. The next prime is 311441034120077. The reversal of 311441034120040 is 40021430144113.

It is a junction number, because it is equal to n+sod(n) for n = 311441034119990 and 311441034120008.

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, 13022911 + ... + 28150990.

It is an arithmetic number, because the mean of its divisors is an integer number (11945166578730).

Almost surely, 2311441034120040 is an apocalyptic number.

It is an amenable number.

311441034120040 is an abundant number, since it is smaller than the sum of its proper divisors (453049626918680).

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

311441034120040 is a wasteful number, since it uses less digits than its factorization.

311441034120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41191114 (or 41191110 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 311441034120040 its reverse (40021430144113), we get a palindrome (351462464264153).

The spelling of 311441034120040 in words is "three hundred eleven trillion, four hundred forty-one billion, thirty-four million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 17191 34382 68764 85955 137528 171910 189101 343820 378202 687640 756404 945505 1512808 1891010 3782020 7564040 41173901 82347802 164695604 205869505 329391208 411739010 452912911 823478020 905825822 1646956040 1811651644 2264564555 3623303288 4529129110 9058258220 18116516440 707820532091 1415641064182 2831282128364 3539102660455 5662564256728 7078205320910 7786025853001 14156410641820 15572051706002 28312821283640 31144103412004 38930129265005 62288206824008 77860258530010 155720517060020 311441034120040