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10024233444 = 22324312750989
BaseRepresentation
bin10010101010111110…
…11010100111100100
3221212121100211011100
421111133122213210
5131012200432234
64334410040100
7503260402251
oct112537324744
927777324140
1010024233444
114284466a55
121b39119030
13c39a237a4
146b1470428
153da098399
hex2557da9e4

10024233444 has 72 divisors (see below), whose sum is σ = 26132986880. Its totient is φ = 3237941952.

The previous prime is 10024233421. The next prime is 10024233521. The reversal of 10024233444 is 44433242001.

It is a happy number.

It is a super-2 number, since 2×100242334442 (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 171102 + ... + 222090.

Almost surely, 210024233444 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 10024233444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13066493440).

10024233444 is an abundant number, since it is smaller than the sum of its proper divisors (16108753436).

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

10024233444 is a wasteful number, since it uses less digits than its factorization.

10024233444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51169 (or 51164 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 10024233444 its reverse (44433242001), we get a palindrome (54457475445).

The spelling of 10024233444 in words is "ten billion, twenty-four million, two hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 127 129 172 254 258 381 387 508 516 762 774 1143 1524 1548 2286 4572 5461 10922 16383 21844 32766 49149 50989 65532 98298 101978 152967 196596 203956 305934 458901 611868 917802 1835604 2192527 4385054 6475603 6577581 8770108 12951206 13155162 19426809 19732743 25902412 26310324 38853618 39465486 58280427 77707236 78930972 116560854 233121708 278450929 556901858 835352787 1113803716 1670705574 2506058361 3341411148 5012116722 10024233444