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134311122040 = 23531257941999
BaseRepresentation
bin111110100010110010…
…0010001010001111000
3110211200101001221021111
41331011210101101320
54200032121401130
6141411321250104
712463232462164
oct1750544212170
9424611057244
10134311122040
1151a63143a07
1222044633934
13c8860b9514
146701c89ca4
15376159302a
hex1f45911478

134311122040 has 64 divisors (see below), whose sum is σ = 312076800000. Its totient is φ = 51970005120.

The previous prime is 134311122031. The next prime is 134311122047. The reversal of 134311122040 is 40221113431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134311122047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3176961 + ... + 3218959.

It is an arithmetic number, because the mean of its divisors is an integer number (4876200000).

Almost surely, 2134311122040 is an apocalyptic number.

134311122040 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 134311122040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156038400000).

134311122040 is an abundant number, since it is smaller than the sum of its proper divisors (177765677960).

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

134311122040 is a wasteful number, since it uses less digits than its factorization.

134311122040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44620 (or 44616 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 134311122040 its reverse (40221113431), we get a palindrome (174532235471).

The spelling of 134311122040 in words is "one hundred thirty-four billion, three hundred eleven million, one hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 2579 5158 10316 12895 20632 25790 41999 51580 79949 83998 103160 159898 167996 209995 319796 335992 399745 419990 639592 799490 839980 1301969 1598980 1679960 2603938 3197960 5207876 6509845 10415752 13019690 26039380 52078760 108315421 216630842 433261684 541577105 866523368 1083154210 2166308420 3357778051 4332616840 6715556102 13431112204 16788890255 26862224408 33577780510 67155561020 134311122040