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3143406464 = 271112717579
BaseRepresentation
bin1011101101011100…
…1001001110000000
322010001212121000122
42323113021032000
522414203001324
61235530035412
7140616341222
oct27327111600
98101777018
103143406464
111373409890
12738878b68
133b1315233
1421b696412
15135e6ea5e
hexbb5c9380

3143406464 has 64 divisors (see below), whose sum is σ = 6885734400. Its totient is φ = 1417489920.

The previous prime is 3143406391. The next prime is 3143406467. The reversal of 3143406464 is 4646043413.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3143406467) 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, 170027 + ... + 187605.

It is an arithmetic number, because the mean of its divisors is an integer number (107589600).

Almost surely, 23143406464 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 3143406464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442867200).

3143406464 is an abundant number, since it is smaller than the sum of its proper divisors (3742327936).

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

3143406464 is a wasteful number, since it uses less digits than its factorization.

3143406464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17731 (or 17719 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The square root of 3143406464 is about 56066.0901436867. The cubic root of 3143406464 is about 1464.8736958908.

Adding to 3143406464 its reverse (4646043413), we get a palindrome (7789449877).

The spelling of 3143406464 in words is "three billion, one hundred forty-three million, four hundred six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 127 128 176 254 352 508 704 1016 1397 1408 2032 2794 4064 5588 8128 11176 16256 17579 22352 35158 44704 70316 89408 140632 178816 193369 281264 386738 562528 773476 1125056 1546952 2232533 2250112 3093904 4465066 6187808 8930132 12375616 17860264 24557863 24751232 35720528 49115726 71441056 98231452 142882112 196462904 285764224 392925808 785851616 1571703232 3143406464