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114443131044333 = 37133791306384673
BaseRepresentation
bin11010000001010111011110…
…001011000100000111101101
3120000012122201120110220220110
4122001113132023010013231
5110000014013021404313
61043222240522010233
733051146321330640
oct3201273613040755
9500178646426813
10114443131044333
1133513071a48143
1210a03a19046979
134bb1c30364c20
1420391117a9a57
15d36ddd8c9ec3
hex6815de2c41ed

114443131044333 has 64 divisors (see below), whose sum is σ = 188316276592640. Its totient is φ = 60201011662848.

The previous prime is 114443131044283. The next prime is 114443131044353. The reversal of 114443131044333 is 333440131344411.

It is a happy number.

It is not a de Polignac number, because 114443131044333 - 29 = 114443131043821 is a prime.

It is a super-2 number, since 2×1144431310443332 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114443131044291 and 114443131044300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114443131044353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1351547085 + ... + 1351631757.

It is an arithmetic number, because the mean of its divisors is an integer number (2942441821760).

Almost surely, 2114443131044333 is an apocalyptic number.

114443131044333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

114443131044333 is a deficient number, since it is larger than the sum of its proper divisors (73873145548307).

114443131044333 is a wasteful number, since it uses less digits than its factorization.

114443131044333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98138.

The product of its (nonzero) digits is 248832, while the sum is 39.

Adding to 114443131044333 its reverse (333440131344411), we get a palindrome (447883262388744).

The spelling of 114443131044333 in words is "one hundred fourteen trillion, four hundred forty-three billion, one hundred thirty-one million, forty-four thousand, three hundred thirty-three".

Divisors: 1 3 7 13 21 39 91 273 379 1137 2653 4927 7959 13063 14781 34489 39189 84673 91441 103467 169819 254019 274323 509457 592711 1100749 1188733 1778133 3302247 3566199 4950877 7705243 14852631 23115729 32091067 34656139 64361401 96273201 103968417 193084203 224637469 417183871 450529807 673912407 1106083399 1251551613 1351589421 2920287097 3318250197 7742583793 8760861291 14379084187 23227751379 43137252561 100653589309 301960767927 419205608221 1257616824663 2934439257547 5449672906873 8803317772641 16349018720619 38147710348111 114443131044333