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3144202020 = 22325176911487
BaseRepresentation
bin1011101101101000…
…1011011100100100
322010010101000022200
42323122023130210
522414403431040
61235555054500
7140626163511
oct27332133444
98103330280
103144202020
111373902573
12738ba1430
133b153338b
1421b822308
1513607a630
hexbb68b724

3144202020 has 144 divisors (see below), whose sum is σ = 10119852288. Its totient is φ = 787461120.

The previous prime is 3144202007. The next prime is 3144202031. The reversal of 3144202020 is 202024413.

It is a super-3 number, since 3×31442020203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3144201984 and 3144202002.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2113717 + ... + 2115203.

It is an arithmetic number, because the mean of its divisors is an integer number (70276752).

Almost surely, 23144202020 is an apocalyptic number.

3144202020 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 3144202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059926144).

3144202020 is an abundant number, since it is smaller than the sum of its proper divisors (6975650268).

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

3144202020 is a wasteful number, since it uses less digits than its factorization.

3144202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3144202020 is about 56073.1845002582. The cubic root of 3144202020 is about 1464.9972657367.

Adding to 3144202020 its reverse (202024413), we get a palindrome (3346226433).

The spelling of 3144202020 in words is "three billion, one hundred forty-four million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 691 765 1020 1382 1487 1530 2073 2764 2974 3060 3455 4146 4461 5948 6219 6910 7435 8292 8922 10365 11747 12438 13383 13820 14870 17844 20730 22305 23494 24876 25279 26766 29740 31095 35241 41460 44610 46988 50558 53532 58735 62190 66915 70482 75837 89220 101116 105723 117470 124380 126395 133830 140964 151674 176205 211446 227511 234940 252790 267660 303348 352410 379185 422892 455022 505580 528615 704820 758370 910044 1027517 1057230 1137555 1516740 2055034 2114460 2275110 3082551 4110068 4550220 5137585 6165102 9247653 10275170 12330204 15412755 17467789 18495306 20550340 30825510 34935578 36990612 46238265 52403367 61651020 69871156 87338945 92476530 104806734 157210101 174677890 184953060 209613468 262016835 314420202 349355780 524033670 628840404 786050505 1048067340 1572101010 3144202020