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134032420434 = 231126126911251
BaseRepresentation
bin111110011010011110…
…1000110111001010010
3110210221221122102112210
41330310331012321102
54143444244423214
6141323523532550
712453306530103
oct1746475067122
9423857572483
10134032420434
115192a897300
1221b8722a156
13c840437b23
1466b6c5c3aa
153746d8eb59
hex1f34f46e52

134032420434 has 96 divisors (see below), whose sum is σ = 300620134080. Its totient is φ = 39798000000.

The previous prime is 134032420427. The next prime is 134032420439. The reversal of 134032420434 is 434024230431.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (134032420439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11907309 + ... + 11918559.

It is an arithmetic number, because the mean of its divisors is an integer number (3131459730).

Almost surely, 2134032420434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134032420434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150310067040).

134032420434 is an abundant number, since it is smaller than the sum of its proper divisors (166587713646).

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

134032420434 is a wasteful number, since it uses less digits than its factorization.

134032420434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11608 (or 11597 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 134032420434 its reverse (434024230431), we get a palindrome (568056650865).

The spelling of 134032420434 in words is "one hundred thirty-four billion, thirty-two million, four hundred twenty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 61 66 121 122 183 242 269 363 366 538 671 726 807 1342 1614 2013 2959 4026 5918 7381 8877 11251 14762 16409 17754 22143 22502 32549 32818 33753 44286 49227 65098 67506 97647 98454 123761 180499 195294 247522 360998 371283 541497 686311 742566 1082994 1361371 1372622 1985489 2058933 2722742 3026519 3970978 4084113 4117866 5956467 6053038 7549421 8168226 9079557 11912934 15098842 18159114 22648263 33291709 45296526 66583418 83043631 99875127 166087262 184617659 199750254 249130893 366208799 369235318 498261786 553852977 732417598 1098626397 1107705954 2030794249 2197252794 4061588498 6092382747 12184765494 22338736739 44677473478 67016210217 134032420434