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5143531120 = 2457131514679
BaseRepresentation
bin1001100101001010…
…00000111001110000
3111021110110110020121
410302211000321300
541013220443440
62210215420024
7241314202360
oct46245007160
914243413217
105143531120
1121aa431072
12bb6684614
1363c804250
1436b1849a0
1520185934a
hex132940e70

5143531120 has 160 divisors (see below), whose sum is σ = 14819051520. Its totient is φ = 1616716800.

The previous prime is 5143531117. The next prime is 5143531177. The reversal of 5143531120 is 211353415.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1096941 + ... + 1101619.

It is an arithmetic number, because the mean of its divisors is an integer number (92619072).

Almost surely, 25143531120 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 5143531120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7409525760).

5143531120 is an abundant number, since it is smaller than the sum of its proper divisors (9675520400).

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

5143531120 is a wasteful number, since it uses less digits than its factorization.

5143531120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4863 (or 4857 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 5143531120 is about 71718.4154872373. The cubic root of 5143531120 is about 1726.1841475238.

Adding to 5143531120 its reverse (211353415), we get a palindrome (5354884535).

The spelling of 5143531120 in words is "five billion, one hundred forty-three million, five hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 151 182 208 260 280 302 364 455 520 560 604 728 755 910 1040 1057 1208 1456 1510 1820 1963 2114 2416 3020 3640 3926 4228 4679 5285 6040 7280 7852 8456 9358 9815 10570 12080 13741 15704 16912 18716 19630 21140 23395 27482 31408 32753 37432 39260 42280 46790 54964 60827 65506 68705 74864 78520 84560 93580 109928 121654 131012 137410 157040 163765 187160 219856 243308 262024 274820 304135 327530 374320 425789 486616 524048 549640 608270 655060 706529 851578 973232 1099280 1216540 1310120 1413058 1703156 2128945 2433080 2620240 2826116 3406312 3532645 4257890 4866160 4945703 5652232 6812624 7065290 8515780 9184877 9891406 11304464 14130580 17031560 18369754 19782812 24728515 28261160 34063120 36739508 39565624 45924385 49457030 56522320 64294139 73479016 79131248 91848770 98914060 128588278 146958032 183697540 197828120 257176556 321470695 367395080 395656240 514353112 642941390 734790160 1028706224 1285882780 2571765560 5143531120