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10234244244 = 2237534335309
BaseRepresentation
bin10011000100000001…
…00010110010010100
3222102020112110211010
421202000202302110
5131424431303434
64411311212220
7511420432530
oct114200426224
928366473733
1010234244244
114381a671a4
121b97517070
13c713a4533
146d12dabc0
153ed72d9e9
hex262022c94

10234244244 has 96 divisors (see below), whose sum is σ = 27875715840. Its totient is φ = 2861733888.

The previous prime is 10234244203. The next prime is 10234244249. The reversal of 10234244244 is 44244243201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10234244249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1925062 + ... + 1930370.

It is an arithmetic number, because the mean of its divisors is an integer number (290372040).

Almost surely, 210234244244 is an apocalyptic number.

10234244244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10234244244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13937857920).

10234244244 is an abundant number, since it is smaller than the sum of its proper divisors (17641471596).

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

10234244244 is a wasteful number, since it uses less digits than its factorization.

10234244244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5809 (or 5807 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 10234244244 its reverse (44244243201), we get a palindrome (54478487445).

The spelling of 10234244244 in words is "ten billion, two hundred thirty-four million, two hundred forty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 433 636 742 866 1113 1299 1484 1732 2226 2598 3031 4452 5196 5309 6062 9093 10618 12124 15927 18186 21236 22949 31854 36372 37163 45898 63708 68847 74326 91796 111489 137694 148652 160643 222978 275388 281377 321286 445956 481929 562754 642572 844131 963858 1125508 1688262 1927716 1969639 2298797 3376524 3939278 4597594 5908917 6896391 7878556 9195188 11817834 13792782 16091579 23635668 27585564 32183158 48274737 64366316 96549474 121836241 193098948 243672482 365508723 487344964 731017446 852853687 1462034892 1705707374 2558561061 3411414748 5117122122 10234244244