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41313400002132 = 223371072513464579
BaseRepresentation
bin10010110010011000001101…
…00010000001011001010100
312102021112002212202002202220
421121030012202001121110
520403334320400032012
6223511040340302340
711462536364623626
oct1131140642013124
9172245085662686
1041313400002132
1112188a07299195
1247729920a19b0
131a08ab58a613b
14a2b817594c16
154b99ca25808c
hex259306881654

41313400002132 has 96 divisors (see below), whose sum is σ = 100326697873920. Its totient is φ = 13220829648000.

The previous prime is 41313400002097. The next prime is 41313400002139. The reversal of 41313400002132 is 23120000431314.

It is a happy number.

It is a super-3 number, since 3×413134000021323 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41313400002139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10192219 + ... + 13656797.

It is an arithmetic number, because the mean of its divisors is an integer number (1045069769520).

Almost surely, 241313400002132 is an apocalyptic number.

It is an amenable number.

41313400002132 is an abundant number, since it is smaller than the sum of its proper divisors (59013297871788).

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

41313400002132 is a wasteful number, since it uses less digits than its factorization.

41313400002132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3464981 (or 3464979 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 41313400002132 its reverse (23120000431314), we get a palindrome (64433400433446).

The spelling of 41313400002132 in words is "forty-one trillion, three hundred thirteen billion, four hundred million, two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 37 74 107 111 148 214 222 251 321 428 444 502 642 753 1004 1284 1506 3012 3959 7918 9287 11877 15836 18574 23754 26857 27861 37148 47508 53714 55722 80571 107428 111444 161142 322284 993709 1987418 2981127 3464579 3974836 5962254 6929158 10393737 11924508 13858316 20787474 41574948 128189423 256378846 370709953 384568269 512757692 741419906 769136538 869609329 1112129859 1482839812 1538273076 1739218658 2224259718 2608827987 3478437316 4448519436 5217655974 10435311948 13716268261 27432536522 32175545173 41148804783 54865073044 64351090346 82297609566 93048198203 96526635519 128702180692 164595219132 186096396406 193053271038 279144594609 372192792812 386106542076 558289189218 1116578378436 3442783333511 6885566667022 10328350000533 13771133334044 20656700001066 41313400002132