Search a number
-
+
134301241224304 = 24711210219706237
BaseRepresentation
bin11110100010010101110001…
…110001101010110001110000
3122121112001222102012202002121
4132202111301301222301300
5120100342420223134204
61153345045524524024
740200641645653060
oct3642256161526160
9577461872182077
10134301241224304
1139879922499300
1213090591b50614
1359c27253a886b
1425243014213a0
15107d73bb92b54
hex7a2571c6ac70

134301241224304 has 120 divisors (see below), whose sum is σ = 327193866384224. Its totient is φ = 52273904601600.

The previous prime is 134301241224299. The next prime is 134301241224373. The reversal of 134301241224304 is 403422142103431.

It is a self number, because there is not a number n which added to its sum of digits gives 134301241224304.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8983474 + ... + 18689710.

Almost surely, 2134301241224304 is an apocalyptic number.

134301241224304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134301241224304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163596933192112).

134301241224304 is an abundant number, since it is smaller than the sum of its proper divisors (192892625159920).

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

134301241224304 is a wasteful number, since it uses less digits than its factorization.

134301241224304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9707295 (or 9707278 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 134301241224304 its reverse (403422142103431), we get a palindrome (537723383327735).

The spelling of 134301241224304 in words is "one hundred thirty-four trillion, three hundred one billion, two hundred forty-one million, two hundred twenty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 121 154 176 242 308 484 616 847 968 1021 1232 1694 1936 2042 3388 4084 6776 7147 8168 11231 13552 14294 16336 22462 28588 44924 57176 78617 89848 114352 123541 157234 179696 247082 314468 494164 628936 864787 988328 1257872 1729574 1976656 3459148 6918296 9706237 13836592 19412474 38824948 67943659 77649896 106768607 135887318 155299792 213537214 271774636 427074428 543549272 747380249 854148856 1087098544 1174454677 1494760498 1708297712 2348909354 2989520996 4697818708 5979041992 8221182739 9395637416 9910067977 11958083984 16442365478 18791274832 19820135954 32884730956 39640271908 65769461912 69370475839 79280543816 109010747747 131538923824 138740951678 158561087632 218021495494 277481903356 436042990988 554963806712 763075234229 872085981976 1109927613424 1199118225217 1526150468458 1744171963952 2398236450434 3052300936916 4796472900868 6104601873832 8393827576519 9592945801736 12209203747664 16787655153038 19185891603472 33575310306076 67150620612152 134301241224304