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10440321024 = 21137234679
BaseRepresentation
bin10011011100100101…
…01010100000000000
3222221121022021000110
421232102222200000
5132340210233044
64443552151320
7516502156500
oct115622524000
928847267013
1010440321024
11447831a791
122034538540
13ca4ca8763
14710821a00
154118886b9
hex26e4aa800

10440321024 has 144 divisors (see below), whose sum is σ = 32379328800. Its totient is φ = 2982862848.

The previous prime is 10440320971. The next prime is 10440321037. The reversal of 10440321024 is 42012304401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 283717 + ... + 318395.

It is an arithmetic number, because the mean of its divisors is an integer number (224856450).

Almost surely, 210440321024 is an apocalyptic number.

10440321024 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 10440321024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16189664400).

10440321024 is an abundant number, since it is smaller than the sum of its proper divisors (21939007776).

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

10440321024 is an equidigital number, since it uses as much as digits as its factorization.

10440321024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34718 (or 34691 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10440321024 its reverse (42012304401), we get a palindrome (52452625425).

The spelling of 10440321024 in words is "ten billion, four hundred forty million, three hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2048 2352 2688 3072 3136 3584 4704 5376 6144 6272 7168 9408 10752 12544 14336 18816 21504 25088 34679 37632 43008 50176 69358 75264 100352 104037 138716 150528 208074 242753 277432 301056 416148 485506 554864 728259 832296 971012 1109728 1456518 1664592 1699271 1942024 2219456 2913036 3329184 3398542 3884048 4438912 5097813 5826072 6658368 6797084 7768096 8877824 10195626 11652144 13316736 13594168 15536192 17755648 20391252 23304288 26633472 27188336 31072384 35511296 40782504 46608576 53266944 54376672 62144768 71022592 81565008 93217152 106533888 108753344 124289536 163130016 186434304 213067776 217506688 248579072 326260032 372868608 435013376 497158144 652520064 745737216 870026752 1305040128 1491474432 1740053504 2610080256 3480107008 5220160512 10440321024