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134693412720 = 24357117345691
BaseRepresentation
bin111110101110001011…
…0100101111101110000
3110212200000102022111120
41331130112211331300
54201323003201340
6141513255142240
712505554055236
oct1753426457560
9425600368446
10134693412720
1152139a13619
1222130674980
13c91736a219
14673a960956
153784e094d0
hex1f5c5a5f70

134693412720 has 160 divisors (see below), whose sum is σ = 425887455744. Its totient is φ = 35206886400.

The previous prime is 134693412719. The next prime is 134693412757. The reversal of 134693412720 is 27214396431.

It is a happy number.

It is a congruent number.

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, 2925075 + ... + 2970765.

Almost surely, 2134693412720 is an apocalyptic number.

134693412720 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 134693412720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212943727872).

134693412720 is an abundant number, since it is smaller than the sum of its proper divisors (291194043024).

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

134693412720 is a wasteful number, since it uses less digits than its factorization.

134693412720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45951 (or 45945 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 134693412720 in words is "one hundred thirty-four billion, six hundred ninety-three million, four hundred twelve thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 173 213 240 284 346 355 426 519 568 692 710 852 865 1038 1065 1136 1384 1420 1704 1730 2076 2130 2595 2768 2840 3408 3460 4152 4260 5190 5680 6920 8304 8520 10380 12283 13840 17040 20760 24566 36849 41520 45691 49132 61415 73698 91382 98264 122830 137073 147396 182764 184245 196528 228455 245660 274146 294792 365528 368490 456910 491320 548292 589584 685365 731056 736980 913820 982640 1096584 1370730 1473960 1827640 2193168 2741460 2947920 3244061 3655280 5482920 6488122 7904543 9732183 10965840 12976244 15809086 16220305 19464366 23713629 25952488 31618172 32440610 38928732 39522715 47427258 48660915 51904976 63236344 64881220 77857464 79045430 94854516 97321830 118568145 126472688 129762440 155714928 158090860 189709032 194643660 237136290 259524880 316181720 379418064 389287320 474272580 561222553 632363440 778574640 948545160 1122445106 1683667659 1897090320 2244890212 2806112765 3367335318 4489780424 5612225530 6734670636 8418338295 8979560848 11224451060 13469341272 16836676590 22448902120 26938682544 33673353180 44897804240 67346706360 134693412720