Search a number
-
+
3144112620 = 22351146310289
BaseRepresentation
bin1011101101100111…
…0101100111101100
322010010012110200120
42323121311213230
522414343100440
61235553124540
7140625342045
oct27331654754
98103173616
103144112620
111373851390
12738b59750
133b150178c
1421b7db8cc
1513605ddd0
hexbb6759ec

3144112620 has 96 divisors (see below), whose sum is σ = 9625512960. Its totient is φ = 760488960.

The previous prime is 3144112603. The next prime is 3144112669. The reversal of 3144112620 is 262114413.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300436 + ... + 310724.

It is an arithmetic number, because the mean of its divisors is an integer number (100265760).

Almost surely, 23144112620 is an apocalyptic number.

3144112620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144112620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4812756480).

3144112620 is an abundant number, since it is smaller than the sum of its proper divisors (6481400340).

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

3144112620 is a wasteful number, since it uses less digits than its factorization.

3144112620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10775 (or 10773 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3144112620 is about 56072.3873221036. The cubic root of 3144112620 is about 1464.9833807089.

The spelling of 3144112620 in words is "three billion, one hundred forty-four million, one hundred twelve thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 463 660 926 1389 1852 2315 2778 4630 5093 5556 6945 9260 10186 10289 13890 15279 20372 20578 25465 27780 30558 30867 41156 50930 51445 61116 61734 76395 101860 102890 113179 123468 152790 154335 205780 226358 305580 308670 339537 452716 565895 617340 679074 1131790 1358148 1697685 2263580 3395370 4763807 6790740 9527614 14291421 19055228 23819035 28582842 47638070 52401877 57165684 71457105 95276140 104803754 142914210 157205631 209607508 262009385 285828420 314411262 524018770 628822524 786028155 1048037540 1572056310 3144112620