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2041314432 = 27331117093
BaseRepresentation
bin111100110101011…
…1111110010000000
312021021002111222020
41321222333302000
513140034030212
6534320241440
7101404613013
oct17152776200
95237074866
102041314432
119582a5823
1248b770280
13266bb1281
1415517137a
15be323d8c
hex79abfc80

2041314432 has 64 divisors (see below), whose sum is σ = 5439994560. Its totient is φ = 678210560.

The previous prime is 2041314427. The next prime is 2041314439. The reversal of 2041314432 is 2344131402.

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

It is a super-2 number, since 2×20413144322 = 8333929220582965248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2041314439) by changing a digit.

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, 110878 + ... + 127970.

It is an arithmetic number, because the mean of its divisors is an integer number (84999915).

Almost surely, 22041314432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719997280).

2041314432 is an abundant number, since it is smaller than the sum of its proper divisors (3398680128).

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

2041314432 is a wasteful number, since it uses less digits than its factorization.

2041314432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17421 (or 17409 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2041314432 is about 45180.9078262046. The cubic root of 2041314432 is about 1268.5374761050.

Adding to 2041314432 its reverse (2344131402), we get a palindrome (4385445834).

The spelling of 2041314432 in words is "two billion, forty-one million, three hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 311 384 622 933 1244 1866 2488 3732 4976 7464 9952 14928 17093 19904 29856 34186 39808 51279 59712 68372 102558 119424 136744 205116 273488 410232 546976 820464 1093952 1640928 2187904 3281856 5315923 6563712 10631846 15947769 21263692 31895538 42527384 63791076 85054768 127582152 170109536 255164304 340219072 510328608 680438144 1020657216 2041314432