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10444003024 = 2471323378429
BaseRepresentation
bin10011011101000001…
…01101011011010000
3222221212020022202211
421232200231123100
5132342131044044
64444203121504
7516545363260
oct115640553320
928855208684
1010444003024
11447a405064
122035813294
13ca5997660
147110dd7a0
15411d64634
hex26e82d6d0

10444003024 has 160 divisors (see below), whose sum is σ = 26693291520. Its totient is φ = 3844786176.

The previous prime is 10444002983. The next prime is 10444003039. The reversal of 10444003024 is 42030044401.

It is a super-2 number, since 2×104440030242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10444002986 and 10444003004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1234842 + ... + 1243270.

It is an arithmetic number, because the mean of its divisors is an integer number (166833072).

Almost surely, 210444003024 is an apocalyptic number.

10444003024 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 10444003024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13346645760).

10444003024 is an abundant number, since it is smaller than the sum of its proper divisors (16249288496).

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

10444003024 is a wasteful number, since it uses less digits than its factorization.

10444003024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8517 (or 8511 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 10444003024 its reverse (42030044401), we get a palindrome (52474047425).

The spelling of 10444003024 in words is "ten billion, four hundred forty-four million, three thousand, twenty-four".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 37 46 52 56 74 91 92 104 112 148 161 182 184 208 259 296 299 322 364 368 481 518 592 598 644 728 851 962 1036 1196 1288 1456 1702 1924 2072 2093 2392 2576 3367 3404 3848 4144 4186 4784 5957 6734 6808 7696 8372 8429 11063 11914 13468 13616 16744 16858 22126 23828 26936 33488 33716 44252 47656 53872 59003 67432 77441 88504 95312 109577 118006 134864 154882 177008 193867 219154 236012 309764 311873 387734 438308 472024 619528 623746 767039 775468 876616 944048 1239056 1247492 1357069 1534078 1550936 1753232 2183111 2494984 2520271 2714138 3068156 3101872 4054349 4366222 4989968 5040542 5428276 6136312 7173079 8108698 8732444 10081084 10856552 12272624 14346158 16217396 17464888 17641897 20162168 21713104 28380443 28692316 32434792 34929776 35283794 40324336 50211553 56760886 57384632 64869584 70567588 93250027 100423106 113521772 114769264 141135176 186500054 200846212 227043544 282270352 373000108 401692424 454087088 652750189 746000216 803384848 1305500378 1492000432 2611000756 5222001512 10444003024