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131443253214 = 237134720832459
BaseRepresentation
bin111101001101010100…
…0001101111111011110
3110120021111200002211120
41322122220031333132
54123143433100324
6140214553031410
712332200134450
oct1723250157736
9416244602746
10131443253214
1150821320689
12215840b5566
13c519bb8810
14650d03a2d0
1536448ee179
hex1e9aa0dfde

131443253214 has 128 divisors (see below), whose sum is σ = 330729799680. Its totient is φ = 33898690944.

The previous prime is 131443253213. The next prime is 131443253231. The reversal of 131443253214 is 412352344131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131443253213) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 53452717 + ... + 53455175.

It is an arithmetic number, because the mean of its divisors is an integer number (2583826560).

Almost surely, 2131443253214 is an apocalyptic number.

131443253214 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 131443253214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165364899840).

131443253214 is an abundant number, since it is smaller than the sum of its proper divisors (199286546466).

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

131443253214 is a wasteful number, since it uses less digits than its factorization.

131443253214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4614.

The product of its digits is 34560, while the sum is 33.

Adding to 131443253214 its reverse (412352344131), we get a palindrome (543795597345).

The spelling of 131443253214 in words is "one hundred thirty-one billion, four hundred forty-three million, two hundred fifty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 47 78 91 94 141 182 273 282 329 546 611 658 987 1222 1833 1974 2083 2459 3666 4166 4277 4918 6249 7377 8554 12498 12831 14581 14754 17213 25662 27079 29162 31967 34426 43743 51639 54158 63934 81237 87486 95901 97901 103278 115573 162474 189553 191802 195802 223769 231146 293703 346719 379106 447538 568659 587406 671307 685307 693438 809011 1137318 1272713 1342614 1370614 1502449 1618022 2055921 2427033 2545426 3004898 3818139 4111842 4507347 4854066 5122097 7636278 8908991 9014694 10244194 10517143 15366291 17817982 21034286 26726973 30732582 31551429 35854679 53453946 63102858 66587261 71709358 107564037 133174522 199761783 215128074 240738559 399523566 466110827 481477118 722215677 932221654 1398332481 1444431354 1685169913 2796664962 3129601267 3370339826 5055509739 6259202534 9388803801 10111019478 18777607602 21907208869 43814417738 65721626607 131443253214