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134020345401140 = 225112232104688673
BaseRepresentation
bin11110011110010000001011…
…000101001000111100110100
3122120112012221022011110020112
4132132100023011020330310
5120031242131410314030
61153012032520322152
740141436044603112
oct3636201305107464
9576465838143215
10134020345401140
1139780789091900
121304605a613358
1359a20ab491403
142514895614ab2
15107629b79aa95
hex79e40b148f34

134020345401140 has 108 divisors (see below), whose sum is σ = 323389385929092. Its totient is φ = 46615771868160.

The previous prime is 134020345401077. The next prime is 134020345401191. The reversal of 134020345401140 is 41104543020431.

It can be written as a sum of positive squares in 2 ways, for example, as 24544553428516 + 109475791972624 = 4954246^2 + 10463068^2 .

It is a super-2 number, since 2×1340203454011402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 134020345401097 and 134020345401106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51064157 + ... + 53624516.

Almost surely, 2134020345401140 is an apocalyptic number.

134020345401140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134020345401140 is an abundant number, since it is smaller than the sum of its proper divisors (189369040527952).

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

134020345401140 is a wasteful number, since it uses less digits than its factorization.

134020345401140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104688750 (or 104688714 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 134020345401140 its reverse (41104543020431), we get a palindrome (175124888421571).

The spelling of 134020345401140 in words is "one hundred thirty-four trillion, twenty billion, three hundred forty-five million, four hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 121 220 230 242 253 460 484 506 529 605 1012 1058 1210 1265 2116 2420 2530 2645 2783 5060 5290 5566 5819 10580 11132 11638 13915 23276 27830 29095 55660 58190 64009 116380 128018 256036 320045 640090 1280180 104688673 209377346 418754692 523443365 1046886730 1151575403 2093773460 2303150806 2407839479 4606301612 4815678958 5757877015 9631357916 11515754030 12039197395 12667329433 23031508060 24078394790 25334658866 26486234269 48156789580 50669317732 52972468538 55380308017 63336647165 105944937076 110760616034 126673294330 132431171345 221521232068 253346588660 264862342690 276901540085 291348576959 529724685380 553803080170 582697153918 609183388187 1107606160340 1165394307836 1218366776374 1456742884795 2436733552748 2913485769590 3045916940935 5826971539180 6091833881870 6701017270057 12183667763740 13402034540114 26804069080228 33505086350285 67010172700570 134020345401140