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134322417126 = 2343722409479
BaseRepresentation
bin111110100011000111…
…1010110110111100110
3110211201011022210020000
41331012033112313212
54200043014322001
6141412403322130
712463430464362
oct1750617266746
9424634283200
10134322417126
1151a69559097
1222048380346
13c8885426c1
14670358a2a2
153762574a86
hex1f463d6de6

134322417126 has 40 divisors (see below), whose sum is σ = 309116367120. Its totient is φ = 43564025232.

The previous prime is 134322417121. The next prime is 134322417211. The reversal of 134322417126 is 621714223431.

134322417126 is a `hidden beast` number, since 1 + 343 + 2 + 241 + 71 + 2 + 6 = 666.

It is a super-2 number, since 2×1343224171262 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134322417121) 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 19 ways as a sum of consecutive naturals, for example, 11198746 + ... + 11210733.

It is an arithmetic number, because the mean of its divisors is an integer number (7727909178).

Almost surely, 2134322417126 is an apocalyptic number.

134322417126 is an abundant number, since it is smaller than the sum of its proper divisors (174793949994).

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

134322417126 is a wasteful number, since it uses less digits than its factorization.

134322417126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22409530 (or 22409521 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The spelling of 134322417126 in words is "one hundred thirty-four billion, three hundred twenty-two million, four hundred seventeen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 333 666 999 1998 2997 5994 22409479 44818958 67228437 134456874 201685311 403370622 605055933 829150723 1210111866 1658301446 1815167799 2487452169 3630335598 4974904338 7462356507 14924713014 22387069521 44774139042 67161208563 134322417126