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41115456640 = 27564242901
BaseRepresentation
bin100110010010101011…
…000001010010000000
310221010101222121100101
4212102223001102000
51133201024103030
630515502532144
72653610420656
oct462253012200
9127111877311
1041115456640
1116489670135
127b75597054
133b531b568b
141dc07b0dd6
1511098c27ca
hex992ac1480

41115456640 has 32 divisors (see below), whose sum is σ = 98291640060. Its totient is φ = 16446182400.

The previous prime is 41115456637. The next prime is 41115456727. The reversal of 41115456640 is 4665451114.

It can be written as a sum of positive squares in 2 ways, for example, as 38012521024 + 3102935616 = 194968^2 + 55704^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×411154566403 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41115456640.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32120811 + ... + 32122090.

Almost surely, 241115456640 is an apocalyptic number.

41115456640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41115456640 is an abundant number, since it is smaller than the sum of its proper divisors (57176183420).

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

41115456640 is an equidigital number, since it uses as much as digits as its factorization.

41115456640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64242920 (or 64242908 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 41115456640 in words is "forty-one billion, one hundred fifteen million, four hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 64242901 128485802 256971604 321214505 513943208 642429010 1027886416 1284858020 2055772832 2569716040 4111545664 5139432080 8223091328 10278864160 20557728320 41115456640