Search a number
-
+
124111334441024 = 2671914580748877
BaseRepresentation
bin11100001110000011101100…
…000000001000000001000000
3121021102221001021212100012022
4130032003230000020001000
5112231420003104103044
61115543543202221012
735066514365264330
oct3416035400100100
9537387037770168
10124111334441024
1136600359797207
1211b05736954768
135433858028778
1422910408bb0c0
15e5364994d3ee
hex70e0ec008040

124111334441024 has 56 divisors (see below), whose sum is σ = 296280817200960. Its totient is φ = 50391068115456.

The previous prime is 124111334441021. The next prime is 124111334441027. The reversal of 124111334441024 is 420144433111421.

It is an interprime number because it is at equal distance from previous prime (124111334441021) and next prime (124111334441027).

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (124111334441021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7290365927 + ... + 7290382950.

Almost surely, 2124111334441024 is an apocalyptic number.

124111334441024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

124111334441024 is an abundant number, since it is smaller than the sum of its proper divisors (172169482759936).

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

124111334441024 is a wasteful number, since it uses less digits than its factorization.

124111334441024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14580748915 (or 14580748905 counting only the distinct ones).

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

Adding to 124111334441024 its reverse (420144433111421), we get a palindrome (544255767552445).

The spelling of 124111334441024 in words is "one hundred twenty-four trillion, one hundred eleven billion, three hundred thirty-four million, four hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 4256 8512 14580748877 29161497754 58322995508 102065242139 116645991016 204130484278 233291982032 277034228663 408260968556 466583964064 554068457326 816521937112 933167928128 1108136914652 1633043874224 1939239600641 2216273829304 3266087748448 3878479201282 4432547658608 6532175496896 7756958402564 8865095317216 15513916805128 17730190634432 31027833610256 62055667220512 124111334441024