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134004341224 = 231323723311497
BaseRepresentation
bin111110011001101000…
…1111111100111101000
3110210212222210212010001
41330303101333213220
54143420102404344
6141321042032344
712452516051365
oct1746321774750
9423788725101
10134004341224
1151915a58a46
1221b799486b4
13c837686200
1466b322d46c
153744694ed4
hex1f3347f9e8

134004341224 has 96 divisors (see below), whose sum is σ = 280649392920. Its totient is φ = 59913105408.

The previous prime is 134004341189. The next prime is 134004341267. The reversal of 134004341224 is 422143400431.

It can be written as a sum of positive squares in 12 ways, for example, as 1952049124 + 132052292100 = 44182^2 + 363390^2 .

It is a junction number, because it is equal to n+sod(n) for n = 134004341192 and 134004341201.

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, 11649844 + ... + 11661340.

Almost surely, 2134004341224 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 134004341224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140324696460).

134004341224 is an abundant number, since it is smaller than the sum of its proper divisors (146645051696).

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

134004341224 is a wasteful number, since it uses less digits than its factorization.

134004341224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11799 (or 11782 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 134004341224 its reverse (422143400431), we get a palindrome (556147741655).

The spelling of 134004341224 in words is "one hundred thirty-four billion, four million, three hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 169 233 296 338 466 481 676 932 962 1352 1864 1924 3029 3848 6058 6253 8621 11497 12116 12506 17242 22994 24232 25012 34484 39377 45988 50024 68968 78754 91976 112073 149461 157508 224146 298922 315016 425389 448292 597844 850778 896584 1195688 1456949 1701556 1942993 2678801 2913898 3403112 3885986 5357602 5530057 5827796 7771972 10715204 11060114 11655592 15543944 21430408 22120228 34824413 44240456 69648826 71890741 99115637 139297652 143781482 198231274 278595304 287562964 396462548 452717369 575125928 792925096 905434738 1288503281 1810869476 2577006562 3621738952 5154013124 10308026248 16750542653 33501085306 67002170612 134004341224