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3134111985 = 325613733061
BaseRepresentation
bin1011101011001110…
…1100000011110001
322002102101101101200
42322303230003301
522404313040420
61234554521413
7140444340504
oct27263540361
98072341350
103134111985
1113691407a4
12735736269
133ac40c844
1421a35713b
15135235b90
hexbacec0f1

3134111985 has 48 divisors (see below), whose sum is σ = 5538129168. Its totient is φ = 1639180800.

The previous prime is 3134111971. The next prime is 3134111999. The reversal of 3134111985 is 5891114313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3134111971) and next prime (3134111999).

It can be written as a sum of positive squares in 8 ways, for example, as 14107536 + 3120004449 = 3756^2 + 55857^2 .

It is not a de Polignac number, because 3134111985 - 216 = 3134046449 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1022355 + ... + 1025415.

It is an arithmetic number, because the mean of its divisors is an integer number (115377691).

Almost surely, 23134111985 is an apocalyptic number.

It is an amenable number.

3134111985 is a deficient number, since it is larger than the sum of its proper divisors (2404017183).

3134111985 is a wasteful number, since it uses less digits than its factorization.

3134111985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3506 (or 3503 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 3134111985 is about 55983.1401852379. The cubic root of 3134111985 is about 1463.4284825207.

The spelling of 3134111985 in words is "three billion, one hundred thirty-four million, one hundred eleven thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 45 61 183 305 373 549 915 1119 1865 2745 3061 3357 5595 9183 15305 16785 22753 27549 45915 68259 113765 137745 186721 204777 341295 560163 933605 1023885 1141753 1680489 2800815 3425259 5708765 8402445 10275777 17126295 51378885 69646933 208940799 348234665 626822397 1044703995 3134111985