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4130443002 = 237434748661
BaseRepresentation
bin1111011000110001…
…1000111011111010
3101122212011020121110
43312030120323322
531424343134002
61521505421150
7204233120610
oct36614307372
911585136543
104130443002
11182a588a64
1297333a7b6
1350a963a1a
142b27cb6b0
1519293ee6c
hexf6318efa

4130443002 has 64 divisors (see below), whose sum is σ = 9866317824. Its totient is φ = 1128133440.

The previous prime is 4130442991. The next prime is 4130443013. The reversal of 4130443002 is 2003440314.

It is an interprime number because it is at equal distance from previous prime (4130442991) and next prime (4130443013).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 4130443002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60552 + ... + 109212.

It is an arithmetic number, because the mean of its divisors is an integer number (154161216).

Almost surely, 24130443002 is an apocalyptic number.

4130443002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4130443002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4933158912).

4130443002 is an abundant number, since it is smaller than the sum of its proper divisors (5735874822).

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

4130443002 is a wasteful number, since it uses less digits than its factorization.

4130443002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48763.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4130443002 is about 64268.5226374467. The cubic root of 4130443002 is about 1604.4722535808.

Adding to 4130443002 its reverse (2003440314), we get a palindrome (6133883316).

The spelling of 4130443002 in words is "four billion, one hundred thirty million, four hundred forty-three thousand, two".

Divisors: 1 2 3 6 7 14 21 42 43 47 86 94 129 141 258 282 301 329 602 658 903 987 1806 1974 2021 4042 6063 12126 14147 28294 42441 48661 84882 97322 145983 291966 340627 681254 1021881 2043762 2092423 2287067 4184846 4574134 6277269 6861201 12554538 13722402 14646961 16009469 29293922 32018938 43940883 48028407 87881766 96056814 98343881 196687762 295031643 590063286 688407167 1376814334 2065221501 4130443002