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10444565340 = 223251111514583
BaseRepresentation
bin10011011101000101…
…10110101101011100
3222221220021220010100
421232202312231130
5132342302042330
64444223141100
7516553224546
oct115642665534
928856256110
1010444565340
11447a759590
122035a44790
13ca5b335a1
14711208696
15411e26060
hex26e8b6b5c

10444565340 has 144 divisors (see below), whose sum is σ = 34599591936. Its totient is φ = 2529264000.

The previous prime is 10444565323. The next prime is 10444565389. The reversal of 10444565340 is 4356544401.

10444565340 is a `hidden beast` number, since 10 + 4 + 44 + 565 + 3 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10444565295 and 10444565304.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2276689 + ... + 2281271.

It is an arithmetic number, because the mean of its divisors is an integer number (240274944).

Almost surely, 210444565340 is an apocalyptic number.

10444565340 is a gapful number since it is divisible by the number (10) 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 10444565340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17299795968).

10444565340 is an abundant number, since it is smaller than the sum of its proper divisors (24155026596).

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

10444565340 is a wasteful number, since it uses less digits than its factorization.

10444565340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5760 (or 5755 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 10444565340 in words is "ten billion, four hundred forty-four million, five hundred sixty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1151 1980 2302 3453 4583 4604 5755 6906 9166 10359 11510 12661 13749 13812 17265 18332 20718 22915 23020 25322 27498 34530 37983 41247 41436 45830 50413 50644 51795 54996 63305 68745 69060 75966 82494 91660 100826 103590 113949 126610 137490 151239 151932 164988 189915 201652 206235 207180 227898 252065 253220 274980 302478 379830 412470 453717 455796 504130 569745 604956 756195 759660 824940 907434 1008260 1139490 1512390 1814868 2268585 2278980 3024780 4537170 5275033 9074340 10550066 15825099 21100132 26375165 31650198 47475297 52750330 58025363 63300396 79125495 94950594 105500660 116050726 158250990 174076089 189901188 232101452 237376485 290126815 316501980 348152178 474752970 522228267 580253630 696304356 870380445 949505940 1044456534 1160507260 1740760890 2088913068 2611141335 3481521780 5222282670 10444565340