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134043421040 = 24517461213799
BaseRepresentation
bin111110011010110011…
…1000100100101110000
3110210222201100022112122
41330311213010211300
54144010103433130
6141324555413412
712453502164614
oct1746547044560
9423881308478
10134043421040
1151936020211
1221b8aa54268
13c8427b9c69
1466b84c3344
153747d142e5
hex1f359c4970

134043421040 has 80 divisors (see below), whose sum is σ = 330700708800. Its totient is φ = 50353704960.

The previous prime is 134043421033. The next prime is 134043421049. The reversal of 134043421040 is 40124340431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134043421049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520061 + ... + 733859.

It is an arithmetic number, because the mean of its divisors is an integer number (4133758860).

Almost surely, 2134043421040 is an apocalyptic number.

134043421040 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 134043421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165350354400).

134043421040 is an abundant number, since it is smaller than the sum of its proper divisors (196657287760).

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

134043421040 is a wasteful number, since it uses less digits than its factorization.

134043421040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214290 (or 214284 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 134043421040 its reverse (40124340431), we get a palindrome (174167761471).

The spelling of 134043421040 in words is "one hundred thirty-four billion, forty-three million, four hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 461 680 922 1360 1844 2305 3688 4610 7376 7837 9220 15674 18440 31348 36880 39185 62696 78370 125392 156740 213799 313480 427598 626960 855196 1068995 1710392 2137990 3420784 3634583 4275980 7269166 8551960 14538332 17103920 18172915 29076664 36345830 58153328 72691660 98561339 145383320 197122678 290766640 394245356 492806695 788490712 985613390 1576981424 1675542763 1971226780 3351085526 3942453560 6702171052 7884907120 8377713815 13404342104 16755427630 26808684208 33510855260 67021710520 134043421040