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131243434014 = 237118931710069
BaseRepresentation
bin111101000111010110…
…1111110000000011110
3110112202120200020102110
41322032231332000132
54122241304342024
6140143054134450
712324222532260
oct1721655760036
9415676606373
10131243434014
1150729551550
12215291b1426
13c4b76958c4
1464d06a3b30
1536320cd629
hex1e8eb7e01e

131243434014 has 128 divisors (see below), whose sum is σ = 332010316800. Its totient is φ = 33596513280.

The previous prime is 131243434001. The next prime is 131243434073. The reversal of 131243434014 is 410434342131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13029372 + ... + 13039440.

It is an arithmetic number, because the mean of its divisors is an integer number (2593830600).

Almost surely, 2131243434014 is an apocalyptic number.

131243434014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131243434014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166005158400).

131243434014 is an abundant number, since it is smaller than the sum of its proper divisors (200766882786).

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

131243434014 is a wasteful number, since it uses less digits than its factorization.

131243434014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10498.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 131243434014 its reverse (410434342131), we get a palindrome (541677776145).

The spelling of 131243434014 in words is "one hundred thirty-one billion, two hundred forty-three million, four hundred thirty-four thousand, fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 89 154 178 231 267 317 462 534 623 634 951 979 1246 1869 1902 1958 2219 2937 3487 3738 4438 5874 6657 6853 6974 10069 10461 13314 13706 20138 20559 20922 24409 28213 30207 41118 48818 56426 60414 70483 73227 84639 110759 140966 146454 169278 197491 211449 221518 310343 332277 394982 422898 592473 620686 664554 775313 896141 931029 1184946 1550626 1792282 1862058 2172401 2325939 2688423 3191873 4344802 4651878 5376846 6272987 6383746 6517203 9575619 9857551 12545974 13034406 18818961 19151238 19715102 22343111 29572653 35110603 37637922 44686222 59145306 67029333 69002857 70221206 105331809 134058666 138005714 207008571 210663618 245774221 284076697 414017142 491548442 568153394 737322663 852230091 1474645326 1704460182 1988536879 3124843667 3977073758 5965610637 6249687334 9374531001 11931221274 18749062002 21873905669 43747811338 65621717007 131243434014