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134042544042120 = 23325753191485731
BaseRepresentation
bin11110011110100100110110…
…001110001111000010001000
3122120121100020100211020220200
4132132210312032033002020
5120032123112233321440
61153030143350252200
740143153125126040
oct3636446616170210
9576540210736820
10134042544042120
113978a13a6a238a
121304a414957060
1359a4208512c2c
14251599d902720
151076b4a565c30
hex79e93638f088

134042544042120 has 96 divisors (see below), whose sum is σ = 497872306451520. Its totient is φ = 30638295780480.

The previous prime is 134042544042119. The next prime is 134042544042149. The reversal of 134042544042120 is 21240445240431.

134042544042120 is a `hidden beast` number, since 1 + 3 + 40 + 42 + 54 + 404 + 2 + 120 = 666.

It is a super-2 number, since 2×1340425440421202 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 26595740346 + ... + 26595745385.

It is an arithmetic number, because the mean of its divisors is an integer number (5186169858870).

Almost surely, 2134042544042120 is an apocalyptic number.

134042544042120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134042544042120 is an abundant number, since it is smaller than the sum of its proper divisors (363829762409400).

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

134042544042120 is a wasteful number, since it uses less digits than its factorization.

134042544042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53191485755 (or 53191485748 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 134042544042120 its reverse (21240445240431), we get a palindrome (155282989282551).

The spelling of 134042544042120 in words is "one hundred thirty-four trillion, forty-two billion, five hundred forty-four million, forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 53191485731 106382971462 159574457193 212765942924 265957428655 319148914386 372340400117 425531885848 478723371579 531914857310 638297828772 744680800234 797872285965 957446743158 1063829714620 1117021200351 1276595657544 1489361600468 1595744571930 1861702000585 1914893486316 2127659429240 2234042400702 2393616857895 2978723200936 3191489143860 3351063601053 3723404001170 3829786972632 4468084801404 4787233715790 5585106001755 6382978287720 6702127202106 7446808002340 8936169602808 9574467431580 11170212003510 13404254404212 14893616004680 16755318005265 19148934863160 22340424007020 26808508808424 33510636010530 44680848014040 67021272021060 134042544042120