Search a number
-
+
313134034040010 = 232513131384853963
BaseRepresentation
bin100011100110010110011001…
…0110111011011010011001010
31112001201022200020010211022200
41013030230302313123103022
5312020342000203240020
63025551442255301030
7122646121163005431
oct10714546267332312
91461638606124280
10313134034040010
1190857441912307
122b15358251a776
1310595549944281
145747aa79bc118
1526305050a5590
hex11ccb32ddb4ca

313134034040010 has 96 divisors (see below), whose sum is σ = 822984341370048. Its totient is φ = 82600240769280.

The previous prime is 313134034039987. The next prime is 313134034040021. The reversal of 313134034040010 is 10040430431313.

313134034040010 is a `hidden beast` number, since 3 + 1 + 313 + 4 + 0 + 340 + 4 + 0 + 0 + 1 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38736712 + ... + 46117251.

It is an arithmetic number, because the mean of its divisors is an integer number (8572753555938).

Almost surely, 2313134034040010 is an apocalyptic number.

313134034040010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

313134034040010 is an abundant number, since it is smaller than the sum of its proper divisors (509850307330038).

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

313134034040010 is a wasteful number, since it uses less digits than its factorization.

313134034040010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84854420 (or 84854417 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 313134034040010 its reverse (10040430431313), we get a palindrome (323174464471323).

The spelling of 313134034040010 in words is "three hundred thirteen trillion, one hundred thirty-four billion, thirty-four million, forty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131 262 313 393 626 655 786 939 1179 1310 1565 1878 1965 2358 2817 3130 3930 4695 5634 5895 9390 11790 14085 28170 41003 82006 123009 205015 246018 369027 410030 615045 738054 1230090 1845135 3690270 84853963 169707926 254561889 424269815 509123778 763685667 848539630 1272809445 1527371334 2545618890 3818428335 7636856670 11115869153 22231738306 26559290419 33347607459 53118580838 55579345765 66695214918 79677871257 100042822377 111158691530 132796452095 159355742514 166738037295 200085644754 239033613771 265592904190 333476074590 398389356285 478067227542 500214111885 796778712570 1000428223770 1195168068855 2390336137710 3479267044889 6958534089778 10437801134667 17396335224445 20875602269334 31313403404001 34792670448890 52189005673335 62626806808002 104378011346670 156567017020005 313134034040010