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41178180040 = 2359710612933
BaseRepresentation
bin100110010110011010…
…010010100111001000
310221021210000021200021
4212112122102213020
51133313103230130
630530023150224
72655301520014
oct462632224710
9127253007607
1041178180040
1116511011158
127b925a5374
133b631a710a
141dc8c5b544
15111016237a
hex9966929c8

41178180040 has 32 divisors (see below), whose sum is σ = 93606077880. Its totient is φ = 16301463552.

The previous prime is 41178180037. The next prime is 41178180041. The reversal of 41178180040 is 4008187114.

It can be written as a sum of positive squares in 4 ways, for example, as 24193313764 + 16984866276 = 155542^2 + 130326^2 .

It is a super-2 number, since 2×411781800402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41178179978 and 41178180005.

It is not an unprimeable number, because it can be changed into a prime (41178180041) 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, 5302587 + ... + 5310346.

Almost surely, 241178180040 is an apocalyptic number.

41178180040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41178180040 is an abundant number, since it is smaller than the sum of its proper divisors (52427897840).

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

41178180040 is a wasteful number, since it uses less digits than its factorization.

41178180040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10613041 (or 10613037 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 34.

The spelling of 41178180040 in words is "forty-one billion, one hundred seventy-eight million, one hundred eighty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 97 194 388 485 776 970 1940 3880 10612933 21225866 42451732 53064665 84903464 106129330 212258660 424517320 1029454501 2058909002 4117818004 5147272505 8235636008 10294545010 20589090020 41178180040