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4423675457344 = 2611132691796863
BaseRepresentation
bin100000001011111011110…
…0110101010111101000000
3120122220021112210220210111
41000113313212222331000
51034434141404113334
613224113005241104
7634412541656113
oct100276746527500
916586245726714
104423675457344
11145608551a540
125b5407b63194
132611c6421320
1411416d9ba57a
157a10b139064
hex405f79aaf40

4423675457344 has 112 divisors (see below), whose sum is σ = 10351230382080. Its totient is φ = 1849186621440.

The previous prime is 4423675457323. The next prime is 4423675457363. The reversal of 4423675457344 is 4437545763244.

It is a congruent number.

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, 1563457 + ... + 3360319.

It is an arithmetic number, because the mean of its divisors is an integer number (92421699840).

Almost surely, 24423675457344 is an apocalyptic number.

4423675457344 is a gapful number since it is divisible by the number (44) 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 4423675457344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5175615191040).

4423675457344 is an abundant number, since it is smaller than the sum of its proper divisors (5927554924736).

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

4423675457344 is a wasteful number, since it uses less digits than its factorization.

4423675457344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797168 (or 1797158 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 58.

The spelling of 4423675457344 in words is "four trillion, four hundred twenty-three billion, six hundred seventy-five million, four hundred fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 269 286 352 416 538 572 704 832 1076 1144 2152 2288 2959 3497 4304 4576 5918 6994 8608 9152 11836 13988 17216 23672 27976 38467 47344 55952 76934 94688 111904 153868 189376 223808 307736 615472 1230944 1796863 2461888 3593726 7187452 14374904 19765493 23359219 28749808 39530986 46718438 57499616 79061972 93436876 114999232 158123944 186873752 256951409 316247888 373747504 483356147 513902818 632495776 747495008 966712294 1027805636 1264991552 1494990016 1933424588 2055611272 3866849176 4111222544 5316917617 6283629911 7733698352 8222445088 10633835234 12567259822 15467396704 16444890176 21267670468 25134519644 30934793408 42535340936 50269039288 69119929021 85070681872 100538078576 138239858042 170141363744 201076157152 276479716084 340282727488 402152314304 552959432168 1105918864336 2211837728672 4423675457344