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314422322402112 = 26317213914503313
BaseRepresentation
bin100011101111101110010011…
…0110101100001001101000000
31112020021110222020222102122020
41013133130212311201031000
5312202443404013331422
63032415342034041440
7123141156155262201
oct10737344665411500
91466243866872566
10314422322402112
1191203838028611
122b32119b719280
1310659b8955b752
14579019b96d5a8
152653ca5c1a95c
hex11df726d61340

314422322402112 has 112 divisors (see below), whose sum is σ = 880886262396672. Its totient is φ = 98637663928320.

The previous prime is 314422322402087. The next prime is 314422322402147. The reversal of 314422322402112 is 211204223224413.

It is a super-2 number, since 2×3144223224021122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67568568 + ... + 72071880.

It is an arithmetic number, because the mean of its divisors is an integer number (7865055914256).

Almost surely, 2314422322402112 is an apocalyptic number.

314422322402112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

314422322402112 is an abundant number, since it is smaller than the sum of its proper divisors (566463939994560).

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

314422322402112 is a wasteful number, since it uses less digits than its factorization.

314422322402112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4524736 (or 4524726 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 314422322402112 its reverse (211204223224413), we get a palindrome (525626545626525).

The spelling of 314422322402112 in words is "three hundred fourteen trillion, four hundred twenty-two billion, three hundred twenty-two million, four hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 21391 42782 64173 85564 128346 171128 256692 342256 363647 513384 684512 727294 1026768 1090941 1369024 1454588 2053536 2181882 2909176 4107072 4363764 4503313 5818352 8727528 9006626 11636704 13509939 17455056 18013252 23273408 27019878 34910112 36026504 54039756 69820224 72053008 76556321 108079512 144106016 153112642 216159024 229668963 288212032 306225284 432318048 459337926 612450568 864636096 918675852 1224901136 1837351704 2449802272 3674703408 4899604544 7349406816 14698813632 96330368383 192660736766 288991105149 385321473532 577982210298 770642947064 1155964420596 1541285894128 1637616262511 2311928841192 3082571788256 3275232525022 4623857682384 4912848787533 6165143576512 6550465050044 9247715364768 9825697575066 13100930100088 18495430729536 19651395150132 26201860200176 39302790300264 52403720400352 78605580600528 104807440800704 157211161201056 314422322402112