Search a number
-
+
41222311322214 = 231137107157762181
BaseRepresentation
bin10010101111101110100010…
…01110010010001001100110
312101221210222202022201120010
421113313101032102021212
520400341243144302324
6223401133545551050
711453133205622301
oct1127672116221146
9171853882281503
1041222311322214
1112153314094830
1247591b07a5486
131a0032a367879
14a27255c63b38
154b744852e829
hex257dd1392266

41222311322214 has 64 divisors (see below), whose sum is σ = 93233663269632. Its totient is φ = 12040409577600.

The previous prime is 41222311322201. The next prime is 41222311322221.

41222311322214 is nontrivially palindromic in base 10.

41222311322214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78619797 + ... + 79142384.

It is an arithmetic number, because the mean of its divisors is an integer number (1456775988588).

Almost surely, 241222311322214 is an apocalyptic number.

41222311322214 is an abundant number, since it is smaller than the sum of its proper divisors (52011351947418).

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

41222311322214 is a wasteful number, since it uses less digits than its factorization.

41222311322214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157762341.

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

It can be divided in two parts, 4122231 and 1322214, that added together give a palindrome (5444445).

The spelling of 41222311322214 in words is "forty-one trillion, two hundred twenty-two billion, three hundred eleven million, three hundred twenty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 33 37 66 74 107 111 214 222 321 407 642 814 1177 1221 2354 2442 3531 3959 7062 7918 11877 23754 43549 87098 130647 261294 157762181 315524362 473286543 946573086 1735383991 3470767982 5206151973 5837200697 10412303946 11674401394 16880553367 17511602091 33761106734 35023204182 50641660101 64209207667 101283320202 128418415334 185686087037 192627623001 371372174074 385255246002 557058261111 624580474579 1114116522222 1249160949158 1873741423737 3747482847474 6870385220369 13740770440738 20611155661107 41222311322214