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3139171344 = 243253421977
BaseRepresentation
bin1011101100011011…
…1111010000010000
322002202220102112100
42323012333100100
522412111440334
61235255200400
7140535342021
oct27306772020
98082812470
103139171344
111370a86991
12737376100
133b049164a
1421acb2c48
151358d4c99
hexbb1bf410

3139171344 has 120 divisors (see below), whose sum is σ = 8981525592. Its totient is φ = 1023160320.

The previous prime is 3139171339. The next prime is 3139171361. The reversal of 3139171344 is 4431719313.

It is a happy number.

3139171344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 506250000 + 2632921344 = 22500^2 + 51312^2 .

It is a super-3 number, since 3×31391713443 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3139171299 and 3139171308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3212584 + ... + 3213560.

Almost surely, 23139171344 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 3139171344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4490762796).

3139171344 is an abundant number, since it is smaller than the sum of its proper divisors (5842354248).

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

3139171344 is a wasteful number, since it uses less digits than its factorization.

3139171344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1456 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 3139171344 is about 56028.3084163711. The cubic root of 3139171344 is about 1464.2155241240.

The spelling of 3139171344 in words is "three billion, one hundred thirty-nine million, one hundred seventy-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 421 424 477 636 842 848 954 977 1263 1272 1684 1908 1954 2526 2544 2931 3368 3789 3816 3908 5052 5862 6736 7578 7632 7816 8793 10104 11724 15156 15632 17586 20208 22313 23448 30312 35172 44626 46896 51781 60624 66939 70344 89252 103562 133878 140688 155343 178504 200817 207124 267756 310686 357008 401634 411317 414248 466029 535512 621372 803268 822634 828496 932058 1071024 1233951 1242744 1606536 1645268 1864116 2467902 2485488 3213072 3290536 3701853 3728232 4935804 6581072 7403706 7456464 9871608 14807412 19743216 21799801 29614824 43599602 59229648 65399403 87199204 130798806 174398408 196198209 261597612 348796816 392396418 523195224 784792836 1046390448 1569585672 3139171344