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4134316331040 = 253571230451289
BaseRepresentation
bin111100001010011000011…
…101001101000000100000
3112122020101121120021121120
4330022120131031000200
51020214034440043130
612443140111052240
7604460132662020
oct74123035150040
915566347507546
104134316331040
111354398873135
12569312211080
1323cb30cb9bac
1410415db83a80
1572822c2b910
hex3c29874d020

4134316331040 has 96 divisors (see below), whose sum is σ = 14883538803840. Its totient is φ = 944986589184.

The previous prime is 4134316330999. The next prime is 4134316331059. The reversal of 4134316331040 is 401336134314.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 4134316330992 and 4134316331010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615222285 + ... + 615229004.

It is an arithmetic number, because the mean of its divisors is an integer number (155036862540).

Almost surely, 24134316331040 is an apocalyptic number.

4134316331040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4134316331040 is an abundant number, since it is smaller than the sum of its proper divisors (10749222472800).

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

4134316331040 is a wasteful number, since it uses less digits than its factorization.

4134316331040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230451314 (or 1230451306 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 4134316331040 in words is "four trillion, one hundred thirty-four billion, three hundred sixteen million, three hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 1230451289 2460902578 3691353867 4921805156 6152256445 7382707734 8613159023 9843610312 12304512890 14765415468 17226318046 18456769335 19687220624 24609025780 25839477069 29530830936 34452636092 36913538670 39374441248 43065795115 49218051560 51678954138 59061661872 68905272184 73827077340 86131590230 98436103120 103357908276 118123323744 129197385345 137810544368 147654154680 172263180460 196872206240 206715816552 258394770690 275621088736 295308309360 344526360920 413431633104 516789541380 590616618720 689052721840 826863266208 1033579082760 1378105443680 2067158165520 4134316331040