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41403144320 = 275136147533
BaseRepresentation
bin100110100011110100…
…011101100010000000
310221212110022122122122
4212203310131202000
51134243201104240
631004221023412
72664002630366
oct464364354200
9127773278578
1041403144320
1116616aa514a
1280359b4b68
133b9a992285
14200aa9b636
151124c9d4b5
hex9a3d1d880

41403144320 has 64 divisors (see below), whose sum is σ = 99054201240. Its totient is φ = 16548741120.

The previous prime is 41403144281. The next prime is 41403144383. The reversal of 41403144320 is 2344130414.

It can be written as a sum of positive squares in 4 ways, for example, as 38563533376 + 2839610944 = 196376^2 + 53288^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 41403144320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 847274 + ... + 894806.

Almost surely, 241403144320 is an apocalyptic number.

41403144320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41403144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49527100620).

41403144320 is an abundant number, since it is smaller than the sum of its proper divisors (57651056920).

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

41403144320 is a wasteful number, since it uses less digits than its factorization.

41403144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48913 (or 48901 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 41403144320 its reverse (2344130414), we get a palindrome (43747274734).

The spelling of 41403144320 in words is "forty-one billion, four hundred three million, one hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1361 2722 5444 6805 10888 13610 21776 27220 43552 47533 54440 87104 95066 108880 174208 190132 217760 237665 380264 435520 475330 760528 871040 950660 1521056 1901320 3042112 3802640 6084224 7605280 15210560 30421120 64692413 129384826 258769652 323462065 517539304 646924130 1035078608 1293848260 2070157216 2587696520 4140314432 5175393040 8280628864 10350786080 20701572160 41403144320