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20444542024320 = 273351183133219
BaseRepresentation
bin1001010011000000111011…
…01010100011101010000000
32200101110221021201011012000
410221200131222203222000
510134430410224234240
6111252032024304000
74210032544623051
oct451403552435200
980343837634160
1020444542024320
116572532a91587
122362357912000
13b53bb19a318b
14509741d16728
15256c21da6430
hex12981daa3a80

20444542024320 has 128 divisors (see below), whose sum is σ = 72407753064000. Its totient is φ = 5451877868544.

The previous prime is 20444542024253. The next prime is 20444542024451. The reversal of 20444542024320 is 2342024544402.

It is a happy number.

20444542024320 is a `hidden beast` number, since 2 + 0 + 4 + 445 + 4 + 202 + 4 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

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, 591549330 + ... + 591583889.

Almost surely, 220444542024320 is an apocalyptic number.

20444542024320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20444542024320 is an abundant number, since it is smaller than the sum of its proper divisors (51963211039680).

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

20444542024320 is a wasteful number, since it uses less digits than its factorization.

20444542024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183133247 (or 1183133229 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 36.

Adding to 20444542024320 its reverse (2342024544402), we get a palindrome (22786566568722).

The spelling of 20444542024320 in words is "twenty trillion, four hundred forty-four billion, five hundred forty-two million, twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 1183133219 2366266438 3549399657 4732532876 5915666095 7098799314 9465065752 10648198971 11831332190 14197598628 17746998285 18930131504 21296397942 23662664380 28395197256 31944596913 35493996570 37860263008 42592795884 47325328760 53240994855 56790394512 63889193826 70987993140 75720526016 85185591768 94650657520 106481989710 113580789024 127778387652 141975986280 151441052032 159722984565 170371183536 189301315040 212963979420 227161578048 255556775304 283951972560 319445969130 340742367072 378602630080 425927958840 454323156096 511113550608 567903945120 638891938260 681484734144 757205260160 851855917680 1022227101216 1135807890240 1277783876520 1362969468288 1703711835360 2044454202432 2271615780480 2555567753040 3407423670720 4088908404864 5111135506080 6814847341440 10222271012160 20444542024320