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2143044420 = 2235111372173
BaseRepresentation
bin111111110111100…
…0100001101000100
312112100111221021120
41333233010031010
513342104410140
6552352513540
7104051401626
oct17757041504
95470457246
102143044420
119aa768aa0
124b984b8b0
13281cac32a
14164892c16
15c821b1d0
hex7fbc4344

2143044420 has 144 divisors (see below), whose sum is σ = 6632273088. Its totient is φ = 512752640.

The previous prime is 2143044413. The next prime is 2143044427. The reversal of 2143044420 is 244403412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2143044413) and next prime (2143044427).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2143044427) by changing a digit.

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, 12387454 + ... + 12387626.

It is an arithmetic number, because the mean of its divisors is an integer number (46057452).

Almost surely, 22143044420 is an apocalyptic number.

2143044420 is a gapful number since it is divisible by the number (20) 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 2143044420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3316136544).

2143044420 is an abundant number, since it is smaller than the sum of its proper divisors (4489228668).

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

2143044420 is a wasteful number, since it uses less digits than its factorization.

2143044420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2143044420 is about 46293.0277687688. The cubic root of 2143044420 is about 1289.2695462015.

Adding to 2143044420 its reverse (244403412), we get a palindrome (2387447832).

The spelling of 2143044420 in words is "two billion, one hundred forty-three million, forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 137 165 173 220 274 330 346 411 519 548 660 685 692 822 865 1038 1370 1507 1644 1730 1903 2055 2076 2595 2740 3014 3460 3806 4110 4521 5190 5709 6028 7535 7612 8220 9042 9515 10380 11418 15070 18084 18769 19030 22605 22836 23701 28545 30140 37538 38060 45210 47402 56307 57090 71103 75076 90420 93845 94804 112614 114180 118505 142206 187690 206459 225228 237010 260711 281535 284412 355515 375380 412918 474020 521422 563070 619377 711030 782133 825836 1032295 1042844 1126140 1238754 1303555 1422060 1564266 2064590 2477508 2607110 3096885 3128532 3247037 3910665 4129180 5214220 6193770 6494074 7821330 9741111 12387540 12988148 15642660 16235185 19482222 32470370 35717407 38964444 48705555 64940740 71434814 97411110 107152221 142869628 178587035 194822220 214304442 357174070 428608884 535761105 714348140 1071522210 2143044420