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41202234230241 = 371741127151114669
BaseRepresentation
bin10010101111001001001001…
…00010010000010111100001
312101212220011112201210000010
421113210210202100113201
520400024133430331431
6223344013424115133
711451522526303410
oct1127444442202741
9171786145653003
1041202234230241
11121458510a0437
124755328a65aa9
1319cb47aa0a3a6
14a262ad631477
154b6b70b36846
hex2579248905e1

41202234230241 has 128 divisors (see below), whose sum is σ = 68685276119040. Its totient is φ = 21432834662400.

The previous prime is 41202234230189. The next prime is 41202234230249. The reversal of 41202234230241 is 14203243220214.

It is not a de Polignac number, because 41202234230241 - 211 = 41202234228193 is a prime.

It is a super-3 number, since 3×412022342302413 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41202234230199 and 41202234230208.

It is not an unprimeable number, because it can be changed into a prime (41202234230249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2808789055 + ... + 2808803723.

It is an arithmetic number, because the mean of its divisors is an integer number (536603719680).

Almost surely, 241202234230241 is an apocalyptic number.

41202234230241 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

41202234230241 is a deficient number, since it is larger than the sum of its proper divisors (27483041888799).

41202234230241 is a wasteful number, since it uses less digits than its factorization.

41202234230241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16375.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 41202234230241 its reverse (14203243220214), we get a palindrome (55405477450455).

The spelling of 41202234230241 in words is "forty-one trillion, two hundred two billion, two hundred thirty-four million, two hundred thirty thousand, two hundred forty-one".

Divisors: 1 3 7 17 21 41 51 119 123 127 287 357 381 697 861 889 1511 2091 2159 2667 4533 4879 5207 6477 10577 14637 14669 15113 15621 25687 31731 36449 44007 45339 61951 77061 88519 102683 109347 179809 185853 191897 249373 265557 308049 433657 539427 575691 601429 619633 748119 1053167 1300971 1343279 1745611 1804287 1858899 1862963 3159501 3262249 4029837 4210003 5236833 5588889 7372169 7867777 9786747 10224293 12630009 13040741 22116507 22164859 22835743 23603331 30672879 31670371 39122223 55074439 66494577 68507229 71570051 76381483 95011113 133752209 155154013 165223317 214710153 221692597 229144449 376802603 401256627 465462039 534670381 665077791 908759219 936265463 1130407809 1298485211 1604011143 2637618221 2726277657 2808796389 2814937093 3895455633 6361314533 7912854663 8444811279 9089396477 15448906723 19083943599 19704559651 27268189431 46346720169 47853930581 59113678953 108142347061 115412420813 143561791743 324427041183 334977514067 346237262439 807886945691 1004932542201 1962011153821 2423660837073 5886033461463 13734078076747 41202234230241