Search a number
-
+
134422114120 = 23571736774099
BaseRepresentation
bin111110100110000101…
…1101010111101001000
3110211222002220220210021
41331030023222331020
54200244030122440
6141430324230224
712466051055230
oct1751413527510
9424862826707
10134422114120
115200a8629a8
122207583b374
13c8a30ab2c8
1467128dccc0
15376b1b984a
hex1f4c2eaf48

134422114120 has 128 divisors (see below), whose sum is σ = 348253344000. Its totient is φ = 45742334976.

The previous prime is 134422114117. The next prime is 134422114139. The reversal of 134422114120 is 21411224431.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32791831 + ... + 32795929.

It is an arithmetic number, because the mean of its divisors is an integer number (2720729250).

Almost surely, 2134422114120 is an apocalyptic number.

134422114120 is a gapful number since it is divisible by the number (10) 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 134422114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174126672000).

134422114120 is an abundant number, since it is smaller than the sum of its proper divisors (213831229880).

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

134422114120 is a wasteful number, since it uses less digits than its factorization.

134422114120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4967 (or 4963 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 134422114120 its reverse (21411224431), we get a palindrome (155833338551).

The spelling of 134422114120 in words is "one hundred thirty-four billion, four hundred twenty-two million, one hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 173 280 346 677 692 865 1211 1354 1384 1730 2422 2708 3385 3460 4099 4739 4844 5416 6055 6770 6920 8198 9478 9688 12110 13540 16396 18956 20495 23695 24220 27080 28693 32792 37912 40990 47390 48440 57386 81980 94780 114772 117121 143465 163960 189560 229544 234242 286930 468484 573860 585605 709127 819847 936968 1147720 1171210 1418254 1639694 2342420 2775023 2836508 3279388 3545635 4099235 4684840 4963889 5550046 5673016 6558776 7091270 8198470 9927778 11100092 13875115 14182540 16396940 19425161 19855556 22200184 24819445 27750230 28365080 32793880 38850322 39711112 49638890 55500460 77700644 97125805 99277780 111000920 155401288 194251610 198555560 388503220 480078979 777006440 960157958 1920315916 2400394895 3360552853 3840631832 4800789790 6721105706 9601579580 13442211412 16802764265 19203159160 26884422824 33605528530 67211057060 134422114120