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134374726140 = 22353319676997
BaseRepresentation
bin111110100100101011…
…0111001100111111100
3110211211210202100200220
41331021112321213330
54200144412214030
6141421512421340
712464634216654
oct1751126714774
9424753670626
10134374726140
1151a96036686
12220619a7850
13c896328a95
14670a4c5364
153766e58a10
hex1f495b99fc

134374726140 has 96 divisors (see below), whose sum is σ = 377830193664. Its totient is φ = 35682958080.

The previous prime is 134374726127. The next prime is 134374726147. The reversal of 134374726140 is 41627473431.

134374726140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 134374726092 and 134374726101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134374726147) 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 31 ways as a sum of consecutive naturals, for example, 19201122 + ... + 19208118.

It is an arithmetic number, because the mean of its divisors is an integer number (3935731184).

Almost surely, 2134374726140 is an apocalyptic number.

134374726140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134374726140 is an abundant number, since it is smaller than the sum of its proper divisors (243455467524).

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

134374726140 is a wasteful number, since it uses less digits than its factorization.

134374726140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8307 (or 8305 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 134374726140 in words is "one hundred thirty-four billion, three hundred seventy-four million, seven hundred twenty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 331 662 967 993 1324 1655 1934 1986 2901 3310 3868 3972 4835 4965 5802 6620 6997 9670 9930 11604 13994 14505 19340 19860 20991 27988 29010 34985 41982 58020 69970 83964 104955 139940 209910 320077 419820 640154 960231 1280308 1600385 1920462 2316007 3200770 3840924 4632014 4801155 6401540 6766099 6948021 9264028 9602310 11580035 13532198 13896042 19204620 20298297 23160070 27064396 27792084 33830495 34740105 40596594 46320140 67660990 69480210 81193188 101491485 135321980 138960420 202982970 405965940 2239578769 4479157538 6718736307 8958315076 11197893845 13437472614 22395787690 26874945228 33593681535 44791575380 67187363070 134374726140