Search a number
-
+
3129417095 = 5739112003
BaseRepresentation
bin1011101010000111…
…0001110110000111
322002002112212012212
42322201301312013
522402112321340
61234310134035
7140356415000
oct27241616607
98062485185
103129417095
111366524422
1273405131b
133ab4578bc
142198941a7
15134b09a65
hexba871d87

3129417095 has 32 divisors (see below), whose sum is σ = 4386355200. Its totient is φ = 2142460320.

The previous prime is 3129417091. The next prime is 3129417119. The reversal of 3129417095 is 5907149213.

It is not a de Polignac number, because 3129417095 - 22 = 3129417091 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3129417091) 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 31 ways as a sum of consecutive naturals, for example, 1561364 + ... + 1563366.

It is an arithmetic number, because the mean of its divisors is an integer number (137073600).

Almost surely, 23129417095 is an apocalyptic number.

3129417095 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3129417095 is a deficient number, since it is larger than the sum of its proper divisors (1256938105).

3129417095 is an equidigital number, since it uses as much as digits as its factorization.

3129417095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 3129417095 is about 55941.1931853442. The cubic root of 3129417095 is about 1462.6973802319.

The spelling of 3129417095 in words is "three billion, one hundred twenty-nine million, four hundred seventeen thousand, ninety-five".

Divisors: 1 5 7 35 49 245 343 911 1715 2003 4555 6377 10015 14021 31885 44639 70105 98147 223195 312473 490735 687029 1562365 1824733 3435145 9123665 12773131 63865655 89411917 447059585 625883419 3129417095