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312211332004240 = 2455936581183221
BaseRepresentation
bin100011011111101000101110…
…1100010011111100110010000
31111221110010000112110211120201
41012333101131202133212100
5311410232301443113430
63024003523400344544
7122522344600055614
oct10677213542374620
91457403015424521
10312211332004240
119053109a646a89
122b024793475154
131052952ca63306
14571517550b344
1526164ee9c48ca
hex11bf45d89f990

312211332004240 has 40 divisors (see below), whose sum is σ = 727115447099448. Its totient is φ = 124673934919680.

The previous prime is 312211332004237. The next prime is 312211332004241. The reversal of 312211332004240 is 42400233112213.

It can be written as a sum of positive squares in 4 ways, for example, as 76226309869824 + 235985022134416 = 8730768^2 + 15361804^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 312211332004199 and 312211332004208.

It is not an unprimeable number, because it can be changed into a prime (312211332004241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3290544171 + ... + 3290639050.

Almost surely, 2312211332004240 is an apocalyptic number.

It is an amenable number.

312211332004240 is an abundant number, since it is smaller than the sum of its proper divisors (414904115095208).

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

312211332004240 is a wasteful number, since it uses less digits than its factorization.

312211332004240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6581183827 (or 6581183821 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 312211332004240 its reverse (42400233112213), we get a palindrome (354611565116453).

The spelling of 312211332004240 in words is "three hundred twelve trillion, two hundred eleven billion, three hundred thirty-two million, four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 593 1186 2372 2965 4744 5930 9488 11860 23720 47440 6581183221 13162366442 26324732884 32905916105 52649465768 65811832210 105298931536 131623664420 263247328840 526494657680 3902641650053 7805283300106 15610566600212 19513208250265 31221133200424 39026416500530 62442266400848 78052833001060 156105666002120 312211332004240