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41232441240 = 23325176737327
BaseRepresentation
bin100110011001101001…
…010001111110011000
310221102120010001001100
4212121221101332120
51133421001104430
630535242151400
72656530652644
oct463151217630
9127376101040
1041232441240
1116539702421
127ba87b2560
133b714c4c33
141dd2143c24
151114cce960
hex999a51f98

41232441240 has 96 divisors (see below), whose sum is σ = 141888127680. Its totient is φ = 10348532736.

The previous prime is 41232441233. The next prime is 41232441247. The reversal of 41232441240 is 4214423214.

41232441240 is a `hidden beast` number, since 412 + 3 + 2 + 4 + 4 + 1 + 240 = 666.

41232441240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41232441233) and next prime (41232441247).

It is a super-2 number, since 2×412324412402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41232441247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3362544 + ... + 3374783.

It is an arithmetic number, because the mean of its divisors is an integer number (1478001330).

Almost surely, 241232441240 is an apocalyptic number.

41232441240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41232441240 is an abundant number, since it is smaller than the sum of its proper divisors (100655686440).

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

41232441240 is a wasteful number, since it uses less digits than its factorization.

41232441240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6737361 (or 6737354 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 41232441240 its reverse (4214423214), we get a palindrome (45446864454).

The spelling of 41232441240 in words is "forty-one billion, two hundred thirty-two million, four hundred forty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 6737327 13474654 20211981 26949308 33686635 40423962 53898616 60635943 67373270 80847924 101059905 114534559 121271886 134746540 161695848 202119810 229069118 242543772 269493080 303179715 343603677 404239620 458138236 485087544 572672795 606359430 687207354 808479240 916276472 1030811031 1145345590 1212718860 1374414708 1718018385 2061622062 2290691180 2425437720 2748829416 3436036770 4123244124 4581382360 5154055155 6872073540 8246488248 10308110310 13744147080 20616220620 41232441240