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4146093402 = 23112910321031
BaseRepresentation
bin1111011100100000…
…0101110101011010
3101200221121100220220
43313020011311122
531442344442102
61523225100510
7204513132603
oct36710056532
911627540826
104146093402
1118383a8380
12978627736
13510c83409
142b4902daa
15193ed21bc
hexf7205d5a

4146093402 has 64 divisors (see below), whose sum is σ = 9449256960. Its totient is φ = 1201233600.

The previous prime is 4146093383. The next prime is 4146093421. The reversal of 4146093402 is 2043906414.

It is an interprime number because it is at equal distance from previous prime (4146093383) and next prime (4146093421).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 186627 + ... + 207657.

It is an arithmetic number, because the mean of its divisors is an integer number (147644640).

Almost surely, 24146093402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4146093402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4724628480).

4146093402 is an abundant number, since it is smaller than the sum of its proper divisors (5303163558).

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

4146093402 is a wasteful number, since it uses less digits than its factorization.

4146093402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21179.

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 4146093402 is about 64390.1654136717. The cubic root of 4146093402 is about 1606.4961675695.

Adding to 4146093402 its reverse (2043906414), we get a palindrome (6189999816).

The spelling of 4146093402 in words is "four billion, one hundred forty-six million, ninety-three thousand, four hundred two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 103 174 206 309 319 618 638 957 1133 1914 2266 2987 3399 5974 6798 8961 17922 21031 32857 42062 63093 65714 98571 126186 197142 231341 462682 609899 694023 1219798 1388046 1829697 2166193 3659394 4332386 6498579 6708889 12997158 13417778 20126667 23828123 40253334 47656246 62819597 71484369 125639194 142968738 188458791 376917582 691015567 1382031134 2073046701 4146093402