Search a number
-
+
13134222404334 = 2331719844389189
BaseRepresentation
bin1011111100100000110010…
…1010010010101011101110
31201111121201112122010202000
42333020030222102223232
53210142341413414314
643533440052313130
72523626163251433
oct277101452225356
951447645563660
1013134222404334
114204213158789
1215816006127a6
13743723581545
143359b21b9b8a
1517b9b8053209
hexbf20ca92aee

13134222404334 has 128 divisors (see below), whose sum is σ = 32534799552000. Its totient is φ = 3903163697664.

The previous prime is 13134222404333. The next prime is 13134222404341. The reversal of 13134222404334 is 43340422243131.

13134222404334 is a `hidden beast` number, since 1 + 3 + 1 + 342 + 2 + 240 + 43 + 34 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13134222404333) 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, 147218212 + ... + 147307400.

It is an arithmetic number, because the mean of its divisors is an integer number (254178121500).

Almost surely, 213134222404334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13134222404334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16267399776000).

13134222404334 is an abundant number, since it is smaller than the sum of its proper divisors (19400577147666).

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

13134222404334 is a wasteful number, since it uses less digits than its factorization.

13134222404334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97679 (or 97673 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 13134222404334 its reverse (43340422243131), we get a palindrome (56474644647465).

The spelling of 13134222404334 in words is "thirteen trillion, one hundred thirty-four billion, two hundred twenty-two million, four hundred four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 102 114 153 171 306 323 342 459 513 646 918 969 1026 1938 2907 5814 8443 8721 16886 17442 25329 50658 75987 89189 143531 151974 160417 178378 227961 267567 287062 320834 430593 455922 481251 535134 802701 861186 962502 1291779 1443753 1516213 1605402 1694591 2408103 2583558 2727089 2887506 3032426 3389182 3875337 4331259 4548639 4816206 5083773 5454178 7750674 8181267 8662518 9097278 10167546 13645917 15251319 16362534 24543801 27291834 28808047 30502638 40937751 45753957 49087602 57616094 73631403 81875502 86424141 91507914 147262806 172848282 259272423 518544846 753022727 777817269 1506045454 1555634538 2259068181 4518136362 6777204543 12801386359 13554409086 14307431813 20331613629 25602772718 28614863626 38404159077 40663227258 42922295439 76808318154 85844590878 115212477231 128766886317 230424954462 243226340821 257533772634 345637431693 386300658951 486452681642 691274863386 729679022463 772601317902 1459358044926 2189037067389 4378074134778 6567111202167 13134222404334