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312213443141104 = 248310914471490591
BaseRepresentation
bin100011011111101001101101…
…1010111110101110111110000
31111221110022110122221200220221
41012333103123113311313300
5311410301112421003404
63024004513053342424
7122522451113325601
oct10677233327656760
91457408418850827
10312213443141104
1190531a832a139a
122b025082497a14
13105297a825031b
1457152d5a55da8
1526165c4edb954
hex11bf4db5f5df0

312213443141104 has 80 divisors (see below), whose sum is σ = 618245569751040. Its totient is φ = 152705293182720.

The previous prime is 312213443141063. The next prime is 312213443141111. The reversal of 312213443141104 is 401141344312213.

It is a self number, because there is not a number n which added to its sum of digits gives 312213443141104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208710849 + ... + 210201439.

It is an arithmetic number, because the mean of its divisors is an integer number (7728069621888).

Almost surely, 2312213443141104 is an apocalyptic number.

It is an amenable number.

312213443141104 is a deficient number, since it is larger than the sum of its proper divisors (306032126609936).

312213443141104 is a wasteful number, since it uses less digits than its factorization.

312213443141104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492238 (or 1492232 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 312213443141104 its reverse (401141344312213), we get a palindrome (713354787453317).

The spelling of 312213443141104 in words is "three hundred twelve trillion, two hundred thirteen billion, four hundred forty-three million, one hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 83 109 166 218 332 436 664 872 1328 1447 1744 2894 5788 9047 11576 18094 23152 36188 72376 120101 144752 157723 240202 315446 480404 630892 960808 1261784 1490591 1921616 2523568 2981182 5962364 11924728 13091009 23849456 26182018 52364036 104728072 123719053 162474419 209456144 247438106 324948838 494876212 649897676 989752424 1299795352 1979504848 2156885177 2599590704 4313770354 8627540708 13485376777 17255081416 26970753554 34510162832 53941507108 107883014216 179021469691 215766028432 235100484293 358042939382 470200968586 716085878764 940401937172 1432171757528 1880803874344 2864343515056 3761607748688 19513340196319 39026680392638 78053360785276 156106721570552 312213443141104