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134312131404 = 2232111741486617
BaseRepresentation
bin111110100010110100…
…0000111101101001100
3110211200102222012212100
41331011220013231030
54200032401201104
6141411355035100
712463244165013
oct1750550075514
9424612865770
10134312131404
1151a637732a0
1222044a3ba90
13c886380a89
14670206da7a
1537616e2139
hex1f45a07b4c

134312131404 has 144 divisors (see below), whose sum is σ = 401728463136. Its totient is φ = 37372108800.

The previous prime is 134312131357. The next prime is 134312131417. The reversal of 134312131404 is 404131213431.

134312131404 is a `hidden beast` number, since 1 + 3 + 43 + 1 + 213 + 1 + 404 = 666.

It is a super-2 number, since 2×1343121314042 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32704 + ... + 519320.

It is an arithmetic number, because the mean of its divisors is an integer number (2789780994).

Almost surely, 2134312131404 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 134312131404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200864231568).

134312131404 is an abundant number, since it is smaller than the sum of its proper divisors (267416331732).

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

134312131404 is a wasteful number, since it uses less digits than its factorization.

134312131404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486696 (or 486691 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 134312131404 its reverse (404131213431), we get a palindrome (538443344835).

The spelling of 134312131404 in words is "one hundred thirty-four billion, three hundred twelve million, one hundred thirty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 41 44 51 66 68 82 99 102 123 132 153 164 187 198 204 246 306 369 374 396 451 492 561 612 697 738 748 902 1122 1353 1394 1476 1683 1804 2091 2244 2706 2788 3366 4059 4182 5412 6273 6732 7667 8118 8364 12546 15334 16236 23001 25092 30668 46002 69003 92004 138006 276012 486617 973234 1459851 1946468 2919702 4379553 5352787 5839404 8272489 8759106 10705574 16058361 16544978 17518212 19951297 21411148 24817467 32116722 33089956 39902594 48175083 49634934 59853891 64233444 74452401 79805188 90997379 96350166 99269868 119707782 148904802 179561673 181994758 192700332 219464267 239415564 272992137 297809604 339172049 359123346 363989516 438928534 545984274 658392801 678344098 718246692 818976411 877857068 1017516147 1091968548 1316785602 1356688196 1637952822 1975178403 2035032294 2633571204 3052548441 3275905644 3730892539 3950356806 4070064588 6105096882 7461785078 7900713612 11192677617 12210193764 14923570156 22385355234 33578032851 44770710468 67156065702 134312131404