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412323202323214 = 272131979215619311
BaseRepresentation
bin101110111000000010111101…
…0000000011101001100001110
32000001220201020220112101112121
41131300011322000131030032
5413021000404243320324
64020534355244323154
7152564240221241500
oct13560057200351416
92001821226471477
10412323202323214
1110a419319516626
123a2b2bba2434ba
131490bbaca16c70
1473b6799a81d70
1532a07156855e4
hex177017a01d30e

412323202323214 has 96 divisors (see below), whose sum is σ = 825908212684800. Its totient is φ = 152575673664960.

The previous prime is 412323202323211. The next prime is 412323202323239.

It is a happy number.

412323202323214 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 412323202323214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412323202323211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105897382 + ... + 109721929.

It is an arithmetic number, because the mean of its divisors is an integer number (8603210548800).

Almost surely, 2412323202323214 is an apocalyptic number.

412323202323214 is an abundant number, since it is smaller than the sum of its proper divisors (413585010361586).

412323202323214 is a wasteful number, since it uses less digits than its factorization.

412323202323214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215619438 (or 215619431 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 41232320 and 2323214, that added together give a palindrome (43555534).

The spelling of 412323202323214 in words is "four hundred twelve trillion, three hundred twenty-three billion, two hundred two million, three hundred twenty-three thousand, two hundred fourteen".

Divisors: 1 2 7 13 14 19 26 38 49 79 91 98 133 158 182 247 266 494 553 637 931 1027 1106 1274 1501 1729 1862 2054 3002 3458 3871 7189 7742 10507 12103 14378 19513 21014 24206 39026 50323 73549 100646 136591 147098 273182 956137 1912274 215619311 431238622 1509335177 2803051043 3018670354 4096766909 5606102086 8193533818 10565346239 17033925569 19621357301 21130692478 28677368363 34067851138 39242714602 53257969817 57354736726 106515939634 119237478983 137349501107 200741578541 221441032397 238474957966 274699002214 323644585811 372805788719 401483157082 442882064794 647289171622 745611577438 834662352881 1550087226779 1669324705762 2265512100677 2609640521033 3100174453558 4207379615543 4531024201354 5219281042066 8414759231086 10850610587453 15858584704739 21701221174906 29451657308801 31717169409478 58903314617602 206161601161607 412323202323214