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134220434124 = 2237127101912347
BaseRepresentation
bin111110100000000101…
…0010100101011001100
3110211110001102111211210
41331000022110223030
54144340412342444
6141354321414420
712461051603010
oct1750012245314
9424401374753
10134220434124
1151a16a32817
122201a19a410
13c87038642a
1466d3c00540
15375862c7b9
hex1f40294acc

134220434124 has 96 divisors (see below), whose sum is σ = 361122693120. Its totient is φ = 38006321472.

The previous prime is 134220434111. The next prime is 134220434129. The reversal of 134220434124 is 421434022431.

It is a junction number, because it is equal to n+sod(n) for n = 134220434091 and 134220434100.

It is not an unprimeable number, because it can be changed into a prime (134220434129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10864519 + ... + 10876865.

It is an arithmetic number, because the mean of its divisors is an integer number (3761694720).

Almost surely, 2134220434124 is an apocalyptic number.

134220434124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134220434124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180561346560).

134220434124 is an abundant number, since it is smaller than the sum of its proper divisors (226902258996).

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

134220434124 is a wasteful number, since it uses less digits than its factorization.

134220434124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13507 (or 13505 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 134220434124 its reverse (421434022431), we get a palindrome (555654456555).

The spelling of 134220434124 in words is "one hundred thirty-four billion, two hundred twenty million, four hundred thirty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 127 254 381 508 762 889 1019 1524 1778 2038 2667 3057 3556 4076 5334 6114 7133 10668 12228 12347 14266 21399 24694 28532 37041 42798 49388 74082 85596 86429 129413 148164 172858 258826 259287 345716 388239 517652 518574 776478 905891 1037148 1552956 1568069 1811782 2717673 3136138 3623564 4704207 5435346 6272276 9408414 10870692 10976483 12581593 18816828 21952966 25163186 32929449 37744779 43905932 50326372 65858898 75489558 88071151 131717796 150979116 176142302 264213453 352284604 528426906 1056853812 1597862311 3195724622 4793586933 6391449244 9587173866 11185036177 19174347732 22370072354 33555108531 44740144708 67110217062 134220434124