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114241133214404 = 22772742191330211
BaseRepresentation
bin11001111110011011010110…
…001010011111101011000100
3112222111100022222220221221222
4121332123112022133223010
5104433211320100330104
61042545352503255512
733030435531160610
oct3176332612375304
9488440288827858
10114241133214404
1133445435491829
121099084444a598
134b98b7b17b381
14202d42c236340
15d31a19d711be
hex67e6d629fac4

114241133214404 has 48 divisors (see below), whose sum is σ = 228850949483520. Its totient is φ = 48881514195360.

The previous prime is 114241133214389. The next prime is 114241133214421. The reversal of 114241133214404 is 404412331142411.

It is a super-2 number, since 2×1142411332144042 (a number of 29 digits) contains 22 as substring.

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, 85216859 + ... + 86547069.

It is an arithmetic number, because the mean of its divisors is an integer number (4767728114240).

Almost surely, 2114241133214404 is an apocalyptic number.

114241133214404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114241133214404 is an abundant number, since it is smaller than the sum of its proper divisors (114609816269116).

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

114241133214404 is a wasteful number, since it uses less digits than its factorization.

114241133214404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335168 (or 1335166 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

Adding to 114241133214404 its reverse (404412331142411), we get a palindrome (518653464356815).

The spelling of 114241133214404 in words is "one hundred fourteen trillion, two hundred forty-one billion, one hundred thirty-three million, two hundred fourteen thousand, four hundred four".

Divisors: 1 2 4 7 14 28 727 1454 2908 4219 5089 8438 10178 16876 20356 29533 59066 118132 1330211 2660422 3067213 5320844 6134426 9311477 12268852 18622954 21470491 37245908 42940982 85881964 967063397 1934126794 3868253588 5612160209 6769443779 11224320418 13538887558 22448640836 27077775116 39285121463 78570242926 157140485852 4080040471943 8160080943886 16320161887772 28560283303601 57120566607202 114241133214404