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214111114404 = 223112955932893
BaseRepresentation
bin1100011101101000000…
…1000101010010100100
3202110122202211120101020
43013122001011102210
512001444421130104
6242210012131140
721316605305145
oct3073201052244
9673582746336
10214111114404
1182893162320
12355b5466ab0
1317262963705
14a51223dacc
1558822052d9
hex31da0454a4

214111114404 has 48 divisors (see below), whose sum is σ = 563803571520. Its totient is φ = 62644839040.

The previous prime is 214111114403. The next prime is 214111114417. The reversal of 214111114404 is 404411111412.

It is a super-3 number, since 3×2141111144043 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (214111114403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27962619 + ... + 27970274.

It is an arithmetic number, because the mean of its divisors is an integer number (11745907740).

Almost surely, 2214111114404 is an apocalyptic number.

It is an amenable number.

214111114404 is an abundant number, since it is smaller than the sum of its proper divisors (349692457116).

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

214111114404 is a wasteful number, since it uses less digits than its factorization.

214111114404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55932940 (or 55932938 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 214111114404 its reverse (404411111412), we get a palindrome (618522225816).

The spelling of 214111114404 in words is "two hundred fourteen billion, one hundred eleven million, one hundred fourteen thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3828 55932893 111865786 167798679 223731572 335597358 615261823 671194716 1230523646 1622053897 1845785469 2461047292 3244107794 3691570938 4866161691 6488215588 7383141876 9732323382 17842592867 19464646764 35685185734 53527778601 71370371468 107055557202 214111114404