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41205351040 = 27579197623
BaseRepresentation
bin100110011000000001…
…111100001010000000
310221100200010201021121
4212120001330022000
51133342032213130
630532433402024
72656051463530
oct463001741200
9127320121247
1041205351040
111652538a127
127b9b709314
133b689cb529
141dcc6d14c0
15111272cd7a
hex99807c280

41205351040 has 64 divisors (see below), whose sum is σ = 112578917760. Its totient is φ = 14127547392.

The previous prime is 41205351029. The next prime is 41205351049. The reversal of 41205351040 is 4015350214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 41205350996 and 41205351014.

It is not an unprimeable number, because it can be changed into a prime (41205351049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4594332 + ... + 4603291.

It is an arithmetic number, because the mean of its divisors is an integer number (1759045590).

Almost surely, 241205351040 is an apocalyptic number.

41205351040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41205351040 is an abundant number, since it is smaller than the sum of its proper divisors (71373566720).

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

41205351040 is an equidigital number, since it uses as much as digits as its factorization.

41205351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9197649 (or 9197637 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 41205351040 in words is "forty-one billion, two hundred five million, three hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 9197623 18395246 36790492 45988115 64383361 73580984 91976230 128766722 147161968 183952460 257533444 294323936 321916805 367904920 515066888 588647872 643833610 735809840 1030133776 1177295744 1287667220 1471619680 2060267552 2575334440 2943239360 4120535104 5150668880 5886478720 8241070208 10301337760 20602675520 41205351040