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4143000400 = 2452711134513
BaseRepresentation
bin1111011011110001…
…0010101101010000
3101200201210020010021
43312330102231100
531441102003100
61523034513224
7204444631240
oct36674225520
911621706107
104143000400
111836685580
12977595814
1351043c636
142b4339b20
15193ac0a1a
hexf6f12b50

4143000400 has 120 divisors (see below), whose sum is σ = 12409723584. Its totient is φ = 1291315200.

The previous prime is 4143000377. The next prime is 4143000413. The reversal of 4143000400 is 40003414.

It is a super-3 number, since 3×41430004003 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 36457 + ... + 98056.

Almost surely, 24143000400 is an apocalyptic number.

4143000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4143000400 is an abundant number, since it is smaller than the sum of its proper divisors (8266723184).

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

4143000400 is a wasteful number, since it uses less digits than its factorization.

4143000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134549 (or 134538 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4143000400 is about 64366.1432742401. The cubic root of 4143000400 is about 1606.0965840343.

Adding to 4143000400 its reverse (40003414), we get a palindrome (4183003814).

The spelling of 4143000400 in words is "four billion, one hundred forty-three million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 140 154 175 176 200 220 275 280 308 350 385 400 440 550 560 616 700 770 880 1100 1232 1400 1540 1925 2200 2800 3080 3850 4400 6160 7700 15400 30800 134513 269026 538052 672565 941591 1076104 1345130 1479643 1883182 2152208 2690260 2959286 3362825 3766364 4707955 5380520 5918572 6725650 7398215 7532728 9415910 10357501 10761040 11837144 13451300 14796430 15065456 18831820 20715002 23539775 23674288 26902600 29592860 36991075 37663640 41430004 47079550 51787505 53805200 59185720 73982150 75327280 82860008 94159100 103575010 118371440 147964300 165720016 188318200 207150020 258937525 295928600 376636400 414300040 517875050 591857200 828600080 1035750100 2071500200 4143000400