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1444649472 = 2933714929
BaseRepresentation
bin101011000011011…
…1001101000000000
310201200100210112000
41112012321220000
510424312240342
6355203504000
750541214020
oct12606715000
93650323460
101444649472
11681515592
12343988000
131a03b2696
14d9c15a80
1586c6444c
hex561b9a00

1444649472 has 160 divisors (see below), whose sum is σ = 4887484800. Its totient is φ = 412729344.

The previous prime is 1444649441. The next prime is 1444649483. The reversal of 1444649472 is 2749464441.

1444649472 is a `hidden beast` number, since 144 + 464 + 9 + 47 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89304 + ... + 104232.

It is an arithmetic number, because the mean of its divisors is an integer number (30546780).

Almost surely, 21444649472 is an apocalyptic number.

1444649472 is a gapful number since it is divisible by the number (12) 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 1444649472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443742400).

1444649472 is an abundant number, since it is smaller than the sum of its proper divisors (3442835328).

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

1444649472 is an equidigital number, since it uses as much as digits as its factorization.

1444649472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14963 (or 14941 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 1444649472 is about 38008.5447235224. The cubic root of 1444649472 is about 1130.4572957918.

The spelling of 1444649472 in words is "one billion, four hundred forty-four million, six hundred forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1152 1344 1512 1536 1728 1792 2016 2304 2688 3024 3456 3584 4032 4608 5376 6048 6912 8064 10752 12096 13824 14929 16128 24192 29858 32256 44787 48384 59716 89574 96768 104503 119432 134361 179148 209006 238864 268722 313509 358296 403083 418012 477728 537444 627018 716592 806166 836024 940527 955456 1074888 1254036 1433184 1612332 1672048 1881054 1910912 2149776 2508072 2821581 2866368 3224664 3344096 3762108 3821824 4299552 5016144 5643162 5732736 6449328 6688192 7524216 7643648 8599104 10032288 11286324 11465472 12898656 13376384 15048432 17198208 20064576 22572648 22930944 25797312 26752768 30096864 34396416 40129152 45145296 51594624 53505536 60193728 68792832 80258304 90290592 103189248 120387456 160516608 180581184 206378496 240774912 361162368 481549824 722324736 1444649472