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134305162120440 = 2334541452210531
BaseRepresentation
bin11110100010011001011011…
…011110101100110011111000
3122121112110002200001220110000
4132202121123132230303320
5120100423433000323230
61153350534551153000
740201141056015123
oct3642313336546370
9577473080056400
10134305162120440
1139880554763633
12130912a7075760
1359c2bcb7c1a4c
1425245940633ba
15107d8baedeb60
hex7a265b7accf8

134305162120440 has 80 divisors (see below), whose sum is σ = 451414572693480. Its totient is φ = 35814709897920.

The previous prime is 134305162120429. The next prime is 134305162120471. The reversal of 134305162120440 is 44021261503431.

134305162120440 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 0 + 5 + 1 + 621 + 20 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 134305162120395 and 134305162120404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20726102026 + ... + 20726108505.

Almost surely, 2134305162120440 is an apocalyptic number.

134305162120440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134305162120440 is an abundant number, since it is smaller than the sum of its proper divisors (317109410573040).

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

134305162120440 is a wasteful number, since it uses less digits than its factorization.

134305162120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41452210554 (or 41452210541 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 134305162120440 in words is "one hundred thirty-four trillion, three hundred five billion, one hundred sixty-two million, one hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 41452210531 82904421062 124356631593 165808842124 207261052655 248713263186 331617684248 373069894779 414522105310 497426526372 621783157965 746139789558 829044210620 994853052744 1119209684337 1243566315930 1492279579116 1658088421240 1865349473895 2238419368674 2487132631860 2984559158232 3357629053011 3730698947790 4476838737348 4974265263720 5596048421685 6715258106022 7461397895580 8953677474696 11192096843370 13430516212044 14922795791160 16788145265055 22384193686740 26861032424088 33576290530110 44768387373480 67152581060220 134305162120440