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311430241104040 = 23557713493511313
BaseRepresentation
bin100011011001111101000000…
…0111001001011000010101000
31111211200102212222010220002201
41012303322000321023002220
5311304433113210312130
63022205024435505544
7122412043461004462
oct10663720071130250
91454612788126081
10311430241104040
119025a9071518a3
122ab193257582b4
13104a09904787b6
1456c943861b132
1526010367b3bca
hex11b3e80e4b0a8

311430241104040 has 32 divisors (see below), whose sum is σ = 701932458554280. Its totient is φ = 124356200251392.

The previous prime is 311430241104023. The next prime is 311430241104041. The reversal of 311430241104040 is 40401142034113.

It can be written as a sum of positive squares in 4 ways, for example, as 308249161964676 + 3181079139364 = 17557026^2 + 1783558^2 .

It is not an unprimeable number, because it can be changed into a prime (311430241104041) 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, 6746732577 + ... + 6746778736.

Almost surely, 2311430241104040 is an apocalyptic number.

It is an amenable number.

311430241104040 is an abundant number, since it is smaller than the sum of its proper divisors (390502217450240).

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

311430241104040 is a wasteful number, since it uses less digits than its factorization.

311430241104040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13493511901 (or 13493511897 counting only the distinct ones).

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

Adding to 311430241104040 its reverse (40401142034113), we get a palindrome (351831383138153).

The spelling of 311430241104040 in words is "three hundred eleven trillion, four hundred thirty billion, two hundred forty-one million, one hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 577 1154 2308 2885 4616 5770 11540 23080 13493511313 26987022626 53974045252 67467556565 107948090504 134935113130 269870226260 539740452520 7785756027601 15571512055202 31143024110404 38928780138005 62286048220808 77857560276010 155715120552020 311430241104040