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131919084443340 = 2234581431533607
BaseRepresentation
bin11101111111101011001110…
…001010101101011011001100
3122022002100012210221222010000
4131333223032022231123030
5114242330241104141330
61144322442445444300
736533560614264525
oct3577531612553314
9568070183858100
10131919084443340
113904062a054737
1212966976570690
13587bbbb10223c
142480cbc46784c
15103b7b8a06560
hex77face2ad6cc

131919084443340 has 60 divisors (see below), whose sum is σ = 413835053795856. Its totient is φ = 35178422517792.

The previous prime is 131919084443297. The next prime is 131919084443353. The reversal of 131919084443340 is 43344480919131.

It is a happy number.

131919084443340 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 1 + 90 + 84 + 4 + 433 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40715765184 + ... + 40715768423.

Almost surely, 2131919084443340 is an apocalyptic number.

131919084443340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131919084443340 is an abundant number, since it is smaller than the sum of its proper divisors (281915969352516).

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

131919084443340 is a wasteful number, since it uses less digits than its factorization.

131919084443340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81431533628 (or 81431533617 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 131919084443340 in words is "one hundred thirty-one trillion, nine hundred nineteen billion, eighty-four million, four hundred forty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 81431533607 162863067214 244294600821 325726134428 407157668035 488589201642 732883802463 814315336070 977178403284 1221473004105 1465767604926 1628630672140 2198651407389 2442946008210 2931535209852 3664419012315 4397302814778 4885892016420 6595954222167 7328838024630 8794605629556 10993257036945 13191908444334 14657676049260 21986514073890 26383816888668 32979771110835 43973028147780 65959542221670 131919084443340