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313422122103040 = 2851789136870337
BaseRepresentation
bin100011101000011100100011…
…0010000001011000100000000
31112002201212021120122202111001
41013100321012100023010000
5312040102001224244130
63030332045110301344
7123006000236101636
oct10720710620130400
91462655246582431
10313422122103040
1190958637035aa5
122b19b382657854
13105b676b932762
1457579d6aa7356
152637c66adb6ca
hex11d0e4640b100

313422122103040 has 72 divisors (see below), whose sum is σ = 751163576791320. Its totient is φ = 125298770313216.

The previous prime is 313422122103019. The next prime is 313422122103217. The reversal of 313422122103040 is 40301221224313.

It can be written as a sum of positive squares in 4 ways, for example, as 170466238537984 + 142955883565056 = 13056272^2 + 11956416^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66145249 + ... + 70725088.

It is an arithmetic number, because the mean of its divisors is an integer number (10432827455435).

Almost surely, 2313422122103040 is an apocalyptic number.

It is an amenable number.

313422122103040 is an abundant number, since it is smaller than the sum of its proper divisors (437741454688280).

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

313422122103040 is a wasteful number, since it uses less digits than its factorization.

313422122103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136872147 (or 136872133 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 313422122103040 its reverse (40301221224313), we get a palindrome (353723343327353).

The spelling of 313422122103040 in words is "three hundred thirteen trillion, four hundred twenty-two billion, one hundred twenty-two million, one hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1789 3578 7156 8945 14312 17890 28624 35780 57248 71560 114496 143120 228992 286240 457984 572480 1144960 2289920 136870337 273740674 547481348 684351685 1094962696 1368703370 2189925392 2737406740 4379850784 5474813480 8759701568 10949626960 17519403136 21899253920 35038806272 43798507840 87597015680 175194031360 244861032893 489722065786 979444131572 1224305164465 1958888263144 2448610328930 3917776526288 4897220657860 7835553052576 9794441315720 15671106105152 19588882631440 31342212210304 39177765262880 62684424420608 78355530525760 156711061051520 313422122103040