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134211010304 = 2871714992939
BaseRepresentation
bin111110011111110011…
…0010111111100000000
3110211102101200201210102
41330333212113330000
54144331004312204
6141353343421532
712460605523220
oct1747746277400
9424371621712
10134211010304
1151a11686538
1222016bb48a8
13c86b436bc7
1466d286a080
1537578ba41e
hex1f3f997f00

134211010304 has 144 divisors (see below), whose sum is σ = 324505440000. Its totient is φ = 54081011712.

The previous prime is 134211010303. The next prime is 134211010309. The reversal of 134211010304 is 403010112431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134211010303) 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, 45664067 + ... + 45667005.

It is an arithmetic number, because the mean of its divisors is an integer number (2253510000).

Almost surely, 2134211010304 is an apocalyptic number.

134211010304 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 134211010304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162252720000).

134211010304 is an abundant number, since it is smaller than the sum of its proper divisors (190294429696).

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

134211010304 is a wasteful number, since it uses less digits than its factorization.

134211010304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4478 (or 4464 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 134211010304 its reverse (403010112431), we get a palindrome (537221122735).

The spelling of 134211010304 in words is "one hundred thirty-four billion, two hundred eleven million, ten thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 544 896 952 1088 1499 1792 1904 2176 2939 2998 3808 4352 5878 5996 7616 10493 11756 11992 15232 20573 20986 23512 23984 25483 30464 41146 41972 47024 47968 49963 50966 82292 83944 94048 95936 99926 101932 164584 167888 178381 188096 191872 199852 203864 329168 335776 349741 356762 376192 383744 399704 407728 658336 671552 699482 713524 752384 799408 815456 1316672 1343104 1398964 1427048 1598816 1630912 2633344 2686208 2797928 2854096 3197632 3261824 4405561 5266688 5595856 5708192 6395264 6523648 8811122 11191712 11416384 12790528 17622244 22383424 22832768 30838927 35244488 44766848 45665536 61677854 70488976 74894537 89533696 123355708 140977952 149789074 246711416 281955904 299578148 493422832 524261759 563911808 599156296 986845664 1048523518 1127823616 1198312592 1973691328 2097047036 2396625184 3947382656 4194094072 4793250368 7894765312 8388188144 9586500736 16776376288 19173001472 33552752576 67105505152 134211010304