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41435653413 = 37114116272689
BaseRepresentation
bin100110100101110000…
…011110010100100101
310221221201111021202010
4212211300132110211
51134330011402123
631011341504433
72664546146160
oct464560362445
9127851437663
1041435653413
1116633389770
128044872119
133ba463531b
142011120ad7
151127a70993
hex9a5c1e525

41435653413 has 64 divisors (see below), whose sum is σ = 70629672960. Its totient is φ = 20979302400.

The previous prime is 41435653333. The next prime is 41435653423. The reversal of 41435653413 is 31435653414.

It is not a de Polignac number, because 41435653413 - 29 = 41435652901 is a prime.

It is a super-3 number, since 3×414356534133 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41435653423) 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 63 ways as a sum of consecutive naturals, for example, 15407973 + ... + 15410661.

It is an arithmetic number, because the mean of its divisors is an integer number (1103588640).

Almost surely, 241435653413 is an apocalyptic number.

It is an amenable number.

41435653413 is a deficient number, since it is larger than the sum of its proper divisors (29194019547).

41435653413 is a wasteful number, since it uses less digits than its factorization.

41435653413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4378.

The product of its digits is 259200, while the sum is 39.

Subtracting from 41435653413 its reverse (31435653414), we obtain a palindrome (9999999999).

The spelling of 41435653413 in words is "forty-one billion, four hundred thirty-five million, six hundred fifty-three thousand, four hundred thirteen".

Divisors: 1 3 7 11 21 33 41 77 123 231 287 451 861 1353 1627 2689 3157 4881 8067 9471 11389 17897 18823 29579 34167 53691 56469 66707 88737 110249 125279 200121 207053 330747 375837 466949 621159 733777 771743 1212739 1400847 2201331 2315229 3638217 4375003 5136439 8489173 13125009 15409317 25467519 30625021 48125033 91875063 144375099 179375123 336875231 538125369 1010625693 1255625861 1973126353 3766877583 5919379059 13811884471 41435653413