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3143132064 = 253211396581
BaseRepresentation
bin1011101101011000…
…0110001110100000
322010001100122121200
42323112012032200
522414120211224
61235520121200
7140614116222
oct27326061640
98101318550
103143132064
111373241706
12738766200
133b124a377
1421b624412
15135e185c9
hexbb5863a0

3143132064 has 72 divisors (see below), whose sum is σ = 9017475012. Its totient is φ = 1038428160.

The previous prime is 3143132053. The next prime is 3143132071. The reversal of 3143132064 is 4602313413.

It can be written as a sum of positive squares in 2 ways, for example, as 1927912464 + 1215219600 = 43908^2 + 34860^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15747 + ... + 80834.

Almost surely, 23143132064 is an apocalyptic number.

It is an amenable number.

3143132064 is an abundant number, since it is smaller than the sum of its proper divisors (5874342948).

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

3143132064 is a wasteful number, since it uses less digits than its factorization.

3143132064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96710 (or 96699 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3143132064 is about 56063.6429783153. The cubic root of 3143132064 is about 1464.8310698370.

Adding to 3143132064 its reverse (4602313413), we get a palindrome (7745445477).

The spelling of 3143132064 in words is "three billion, one hundred forty-three million, one hundred thirty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 113 144 226 288 339 452 678 904 1017 1356 1808 2034 2712 3616 4068 5424 8136 10848 16272 32544 96581 193162 289743 386324 579486 772648 869229 1158972 1545296 1738458 2317944 3090592 3476916 4635888 6953832 9271776 10913653 13907664 21827306 27815328 32740959 43654612 65481918 87309224 98222877 130963836 174618448 196445754 261927672 349236896 392891508 523855344 785783016 1047710688 1571566032 3143132064