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41545400320 = 2155253573
BaseRepresentation
bin100110101100010011…
…001000000000000000
310222020101000000012101
4212230103020000000
51140041110302240
631030302040144
73000351035044
oct465423100000
9128211000171
1041545400320
111668a328196
128075579054
133bc12ac418
14202192c024
1511324ed39a
hex9ac4c8000

41545400320 has 64 divisors (see below), whose sum is σ = 99707832540. Its totient is φ = 16618094592.

The previous prime is 41545400279. The next prime is 41545400333. The reversal of 41545400320 is 2300454514.

It can be written as a sum of positive squares in 2 ways, for example, as 41264234496 + 281165824 = 203136^2 + 16768^2 .

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

It is a super-2 number, since 2×415454003202 (a number of 22 digits) contains 22 as substring.

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, 37054 + ... + 290626.

Almost surely, 241545400320 is an apocalyptic number.

41545400320 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 41545400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49853916270).

41545400320 is an abundant number, since it is smaller than the sum of its proper divisors (58162432220).

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

41545400320 is an frugal number, since it uses more digits than its factorization.

41545400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253608 (or 253580 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 41545400320 its reverse (2300454514), we get a palindrome (43845854834).

The spelling of 41545400320 in words is "forty-one billion, five hundred forty-five million, four hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 8192 10240 16384 20480 32768 40960 81920 163840 253573 507146 1014292 1267865 2028584 2535730 4057168 5071460 8114336 10142920 16228672 20285840 32457344 40571680 64914688 81143360 129829376 162286720 259658752 324573440 519317504 649146880 1038635008 1298293760 2077270016 2596587520 4154540032 5193175040 8309080064 10386350080 20772700160 41545400320