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10024134444 = 22324118473677
BaseRepresentation
bin10010101010111110…
…00010011100101100
3221212121011210100200
421111133002130230
5131012134300234
64334403553500
7503256510522
oct112537023454
927777153320
1010024134444
1142843a9635
121b3908b890
13c399ba6cc
146b1446312
153da078d99
hex2557c272c

10024134444 has 72 divisors (see below), whose sum is σ = 25977919968. Its totient is φ = 3257230080.

The previous prime is 10024134433. The next prime is 10024134451. The reversal of 10024134444 is 44443142001.

10024134444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2724334 + ... + 2728010.

It is an arithmetic number, because the mean of its divisors is an integer number (360804444).

Almost surely, 210024134444 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 10024134444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12988959984).

10024134444 is an abundant number, since it is smaller than the sum of its proper divisors (15953785524).

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

10024134444 is a wasteful number, since it uses less digits than its factorization.

10024134444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5575 (or 5570 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10024134444 its reverse (44443142001), we get a palindrome (54467276445).

The spelling of 10024134444 in words is "ten billion, twenty-four million, one hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 1847 3677 3694 5541 7354 7388 11031 11082 14708 16623 22062 22164 33093 33246 44124 66186 66492 75727 132372 150757 151454 227181 301514 302908 452271 454362 603028 681543 904542 908724 1356813 1363086 1809084 2713626 2726172 5427252 6791419 13582838 20374257 27165676 40748514 61122771 81497028 122245542 244491084 278448179 556896358 835344537 1113792716 1670689074 2506033611 3341378148 5012067222 10024134444