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134206339904 = 267313470279
BaseRepresentation
bin111110011111101010…
…0100011101101000000
3110211102001220110012122
41330333110203231000
54144323310334104
6141353055343412
712460521032000
oct1747724435500
9424361813178
10134206339904
1151a09a865aa
1222015521b68
13c86a490160
1466d1db2000
1537572966be
hex1f3f523b40

134206339904 has 112 divisors (see below), whose sum is σ = 334463136000. Its totient is φ = 53092505088.

The previous prime is 134206339831. The next prime is 134206339907. The reversal of 134206339904 is 409933602431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1342063399042 (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 (134206339907) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50237 + ... + 520515.

It is an arithmetic number, because the mean of its divisors is an integer number (2986278000).

Almost surely, 2134206339904 is an apocalyptic number.

134206339904 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 134206339904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167231568000).

134206339904 is an abundant number, since it is smaller than the sum of its proper divisors (200256796096).

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

134206339904 is an equidigital number, since it uses as much as digits as its factorization.

134206339904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470325 (or 470301 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 44.

The spelling of 134206339904 in words is "one hundred thirty-four billion, two hundred six million, three hundred thirty-nine thousand, nine hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 182 196 208 224 343 364 392 416 448 637 686 728 784 832 1274 1372 1456 1568 2548 2744 2912 3136 4459 5096 5488 5824 8918 10192 10976 17836 20384 21952 35672 40768 71344 142688 285376 470279 940558 1881116 3291953 3762232 6113627 6583906 7524464 12227254 13167812 15048928 23043671 24454508 26335624 30097856 42795389 46087342 48909016 52671248 85590778 92174684 97818032 105342496 161305697 171181556 184349368 195636064 210684992 299567723 322611394 342363112 368698736 391272128 599135446 645222788 684726224 737397472 1198270892 1290445576 1369452448 1474794944 2096974061 2396541784 2580891152 2738904896 4193948122 4793083568 5161782304 8387896244 9586167136 10323564608 16775792488 19172334272 33551584976 67103169952 134206339904