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134124421431 = 371113371207121
BaseRepresentation
bin111110011101001110…
…0000100000100110111
3110211012100202120012010
41330322130010010313
54144141322441211
6141341011455303
712455504525430
oct1747234040467
9424170676163
10134124421431
1151977814a90
1221bb1bb7533
13c85650a7a0
1466c516a487
15374eeb44a6
hex1f3a704137

134124421431 has 64 divisors (see below), whose sum is σ = 246600539136. Its totient is φ = 62577100800.

The previous prime is 134124421381. The next prime is 134124421441.

It is a happy number.

134124421431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134124421431 - 26 = 134124421367 is a prime.

It is a super-2 number, since 2×1341244214312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134124421441) 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 63 ways as a sum of consecutive naturals, for example, 492450 + ... + 714671.

It is an arithmetic number, because the mean of its divisors is an integer number (3853133424).

Almost surely, 2134124421431 is an apocalyptic number.

134124421431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134124421431 is a deficient number, since it is larger than the sum of its proper divisors (112476117705).

134124421431 is a wasteful number, since it uses less digits than its factorization.

134124421431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207192.

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 134124 and 421431, that added together give a palindrome (555555).

The spelling of 134124421431 in words is "one hundred thirty-four billion, one hundred twenty-four million, four hundred twenty-one thousand, four hundred thirty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3367 5291 8547 10101 15873 37037 111111 1207121 3621363 8449847 13278331 15692573 25349541 39834993 44663477 47077719 92948317 109848011 133990431 172618303 278844951 312644339 329544033 491298247 517854909 580625201 937933017 1208328121 1473894741 1741875603 3439087729 3624984363 4064376407 6386877211 10317263187 12193129221 19160631633 44708140477 134124421431