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3121044444 = 2232731339569
BaseRepresentation
bin1011101000000111…
…0101101111011100
322001111210111002200
42322001311233130
522342441410234
61233410451500
7140225303640
oct27201655734
98044714080
103121044444
111361825981
12731293b90
133a97b597b
14218714c20
15134003d99
hexba075bdc

3121044444 has 72 divisors (see below), whose sum is σ = 9045385440. Its totient is φ = 888855552.

The previous prime is 3121044439. The next prime is 3121044457. The reversal of 3121044444 is 4444401213.

3121044444 is a `hidden beast` number, since 3 + 1 + 210 + 4 + 4 + 444 = 666.

It is a congruent number.

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, 59092 + ... + 98660.

Almost surely, 23121044444 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 3121044444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4522692720).

3121044444 is an abundant number, since it is smaller than the sum of its proper divisors (5924340996).

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

3121044444 is a wasteful number, since it uses less digits than its factorization.

3121044444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39899 (or 39894 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 3121044444 is about 55866.3086663152. The cubic root of 3121044444 is about 1461.3917491391.

Adding to 3121044444 its reverse (4444401213), we get a palindrome (7565445657).

The spelling of 3121044444 in words is "three billion, one hundred twenty-one million, forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 313 626 939 1252 1878 2191 2817 3756 4382 5634 6573 8764 11268 13146 19719 26292 39438 39569 78876 79138 118707 158276 237414 276983 356121 474828 553966 712242 830949 1107932 1424484 1661898 2492847 3323796 4985694 9971388 12385097 24770194 37155291 49540388 74310582 86695679 111465873 148621164 173391358 222931746 260087037 346782716 445863492 520174074 780261111 1040348148 1560522222 3121044444