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41212322321214 = 23112375712686907
BaseRepresentation
bin10010101111011011111011…
…10101010001001100111110
312101220212012121020220020010
421113231331311101030332
520400210314003234324
6223352402435004050
711452330523540352
oct1127557565211476
9171825177226203
1041212322321214
111214a058602500
124757283439626
1319cc3c7a2b8a5
14a26989365462
154b70615e5829
hex257b7dd5133e

41212322321214 has 96 divisors (see below), whose sum is σ = 93210601131648. Its totient is φ = 12129768446400.

The previous prime is 41212322321197. The next prime is 41212322321237.

41212322321214 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×412123223212142 (a number of 28 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 47 ways as a sum of consecutive naturals, for example, 13994749 + ... + 16681655.

It is an arithmetic number, because the mean of its divisors is an integer number (970943761788).

Almost surely, 241212322321214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41212322321214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46605300565824).

41212322321214 is an abundant number, since it is smaller than the sum of its proper divisors (51998278810434).

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

41212322321214 is a wasteful number, since it uses less digits than its factorization.

41212322321214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687542 (or 2687531 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 4121232 and 2321214, that added together give a palindrome (6442446).

The spelling of 41212322321214 in words is "forty-one trillion, two hundred twelve billion, three hundred twenty-two million, three hundred twenty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 121 222 242 363 407 571 726 814 1142 1221 1713 2442 3426 4477 6281 8954 12562 13431 18843 21127 26862 37686 42254 63381 69091 126762 138182 207273 232397 414546 464794 697191 1394382 2556367 2686907 5112734 5373814 7669101 8060721 15338202 16121442 29555977 59111954 88667931 99415559 177335862 198831118 298246677 325115747 596493354 650231494 975347241 1093571149 1534223897 1950694482 2187142298 3068447794 3280713447 4602671691 6561426894 9205343382 12029282639 16876462867 24058565278 33752925734 36087847917 50629388601 56766284189 72175695834 101258777202 113532568378 170298852567 185641091537 340597705134 371282183074 556923274611 624429126079 1113846549222 1248858252158 1873287378237 3746574756474 6868720386869 13737440773738 20606161160607 41212322321214