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3142054044 = 2233791133259
BaseRepresentation
bin1011101101000111…
…1111000010011100
322002222022212212000
42323101333002130
522413331212134
61235441042300
7140602006263
oct27321770234
98088285760
103142054044
111372675788
12738326390
133b0c6079c
1421b4235da
15135ca3e99
hexbb47f09c

3142054044 has 96 divisors (see below), whose sum is σ = 8324736000. Its totient is φ = 1024627968.

The previous prime is 3142054021. The next prime is 3142054049. The reversal of 3142054044 is 4404502413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3142053999 and 3142054017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142054049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 962487 + ... + 965745.

It is an arithmetic number, because the mean of its divisors is an integer number (86716000).

Almost surely, 23142054044 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 3142054044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4162368000).

3142054044 is an abundant number, since it is smaller than the sum of its proper divisors (5182681956).

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

3142054044 is a wasteful number, since it uses less digits than its factorization.

3142054044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3464 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 3142054044 is about 56054.0279016593. The cubic root of 3142054044 is about 1464.6635832106.

Adding to 3142054044 its reverse (4404502413), we get a palindrome (7546556457).

The spelling of 3142054044 in words is "three billion, one hundred forty-two million, fifty-four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 108 113 158 226 237 316 339 452 474 678 711 948 1017 1356 1422 2034 2133 2844 3051 3259 4068 4266 6102 6518 8532 8927 9777 12204 13036 17854 19554 26781 29331 35708 39108 53562 58662 80343 87993 107124 117324 160686 175986 241029 257461 321372 351972 368267 482058 514922 736534 772383 964116 1029844 1104801 1473068 1544766 2209602 2317149 3089532 3314403 4419204 4634298 6628806 6951447 9268596 9943209 13257612 13902894 19886418 27805788 29093093 39772836 58186186 87279279 116372372 174558558 261837837 349117116 523675674 785513511 1047351348 1571027022 3142054044