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13342133244 = 22311241271827
BaseRepresentation
bin11000110110100000…
…01100101111111100
31021102211120121001010
430123100030233330
5204311041230434
610043532115220
7651426155436
oct143320145774
937384517033
1013342133244
115727317200
122704305b10
1313482322cb
14907d89656
155314d49e9
hex31b40cbfc

13342133244 has 144 divisors (see below), whose sum is σ = 35225584128. Its totient is φ = 3925152000.

The previous prime is 13342133237. The next prime is 13342133261. The reversal of 13342133244 is 44233124331.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16132759 + ... + 16133585.

It is an arithmetic number, because the mean of its divisors is an integer number (244622112).

Almost surely, 213342133244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13342133244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17612792064).

13342133244 is an abundant number, since it is smaller than the sum of its proper divisors (21883450884).

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

13342133244 is a wasteful number, since it uses less digits than its factorization.

13342133244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1155 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

Adding to 13342133244 its reverse (44233124331), we get a palindrome (57575257575).

The spelling of 13342133244 in words is "thirteen billion, three hundred forty-two million, one hundred thirty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 121 123 132 164 242 246 271 363 451 484 492 542 726 813 827 902 1084 1353 1452 1626 1654 1804 2481 2706 2981 3252 3308 4961 4962 5412 5962 8943 9097 9922 9924 11111 11924 14883 17886 18194 19844 22222 27291 29766 32791 33333 33907 35772 36388 44444 54582 59532 65582 66666 67814 98373 100067 101721 109164 122221 131164 133332 135628 196746 200134 203442 224117 244442 300201 366663 372977 393492 400268 406884 448234 488884 600402 672351 733326 745954 896468 1118931 1200804 1344431 1344702 1466652 1491908 2237862 2465287 2688862 2689404 4033293 4102747 4475724 4930574 5377724 7395861 8066586 8205494 9188797 9861148 12308241 14791722 16133172 16410988 18377594 24616482 27118157 27566391 29583444 36755188 49232964 54236314 55132782 81354471 101076767 108472628 110265564 162708942 202153534 303230301 325417884 404307068 606460602 1111844437 1212921204 2223688874 3335533311 4447377748 6671066622 13342133244