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40771041040 = 2454973102481
BaseRepresentation
bin100101111110001001…
…001011011100010000
310220020101220110222001
4211332021023130100
51131444341303130
630421400523344
72642226062602
oct457611133420
9126211813861
1040771041040
111632220a644
127a9a180554
133ac9a36272
141d8ab59172
1510d953d6ca
hex97e24b710

40771041040 has 40 divisors (see below), whose sum is σ = 94812657048. Its totient is φ = 16304977920.

The previous prime is 40771041037. The next prime is 40771041083. The reversal of 40771041040 is 4014017704.

It can be written as a sum of positive squares in 4 ways, for example, as 19422324496 + 21348716544 = 139364^2 + 146112^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 346600 + ... + 449080.

Almost surely, 240771041040 is an apocalyptic number.

40771041040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40771041040 is an abundant number, since it is smaller than the sum of its proper divisors (54041616008).

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

40771041040 is a wasteful number, since it uses less digits than its factorization.

40771041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107467 (or 107461 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

Adding to 40771041040 its reverse (4014017704), we get a palindrome (44785058744).

The spelling of 40771041040 in words is "forty billion, seven hundred seventy-one million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4973 9946 19892 24865 39784 49730 79568 99460 102481 198920 204962 397840 409924 512405 819848 1024810 1639696 2049620 4099240 8198480 509638013 1019276026 2038552052 2548190065 4077104104 5096380130 8154208208 10192760260 20385520520 40771041040