Search a number
-
+
134202141024224 = 257313940528573
BaseRepresentation
bin11110100000111001011110…
…111100011001111111100000
3122121011121011221200222021212
4132200321132330121333200
5120042231441100233344
61153231340143405252
740160533106111000
oct3640713674317740
9577147157628255
10134202141024224
1139840898a691a9
12130753355b3828
1359b6291122710
14251d5bdaa8000
15107ad8b94579e
hex7a0e5ef19fe0

134202141024224 has 96 divisors (see below), whose sum is σ = 331818480907200. Its totient is φ = 53090956832256.

The previous prime is 134202141024223. The next prime is 134202141024233. The reversal of 134202141024224 is 422420141202431.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134202141024223) 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, 470121599 + ... + 470406974.

It is an arithmetic number, because the mean of its divisors is an integer number (3456442509450).

Almost surely, 2134202141024224 is an apocalyptic number.

134202141024224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

134202141024224 is an abundant number, since it is smaller than the sum of its proper divisors (197616339882976).

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

134202141024224 is an equidigital number, since it uses as much as digits as its factorization.

134202141024224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940528617 (or 940528595 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 134202141024224 its reverse (422420141202431), we get a palindrome (556622282226655).

The spelling of 134202141024224 in words is "one hundred thirty-four trillion, two hundred two billion, one hundred forty-one million, twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 343 364 392 416 637 686 728 784 1274 1372 1456 1568 2548 2744 2912 4459 5096 5488 8918 10192 10976 17836 20384 35672 71344 142688 940528573 1881057146 3762114292 6583700011 7524228584 12226871449 13167400022 15048457168 24453742898 26334800044 30096914336 46085900077 48907485796 52669600088 85588100143 92171800154 97814971592 105339200176 171176200286 184343600308 195629943184 210678400352 322601300539 342352400572 368687200616 391259886368 599116701001 645202601078 684704801144 737374401232 1198233402002 1290405202156 1369409602288 1474748802464 2396466804004 2580810404312 2738819204576 4193816907007 4792933608008 5161620808624 8387633814014 9585867216016 10323241617248 16775267628028 19171734432032 33550535256056 67101070512112 134202141024224