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41235257340 = 22325229084763
BaseRepresentation
bin100110011001110100…
…000001011111111100
310221102202102010000100
4212121310001133330
51133422211213330
630535422401100
72656563622104
oct463164013774
9127382363010
1041235257340
1116540256182
127ba9730190
133b71c6c974
141dd2678204
151115189060
hex999d017fc

41235257340 has 36 divisors (see below), whose sum is σ = 125080281144. Its totient is φ = 10996068576.

The previous prime is 41235257333. The next prime is 41235257363. The reversal of 41235257340 is 4375253214.

41235257340 is a `hidden beast` number, since 4 + 1 + 23 + 525 + 73 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41235257295 and 41235257304.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 114542202 + ... + 114542561.

It is an arithmetic number, because the mean of its divisors is an integer number (3474452254).

Almost surely, 241235257340 is an apocalyptic number.

It is an amenable number.

41235257340 is an abundant number, since it is smaller than the sum of its proper divisors (83845023804).

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

41235257340 is a wasteful number, since it uses less digits than its factorization.

41235257340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229084778 (or 229084773 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 41235257340 in words is "forty-one billion, two hundred thirty-five million, two hundred fifty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 229084763 458169526 687254289 916339052 1145423815 1374508578 2061762867 2290847630 2749017156 3436271445 4123525734 4581695260 6872542890 8247051468 10308814335 13745085780 20617628670 41235257340