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20042422400400 = 2435216702018667
BaseRepresentation
bin1001000111010011111010…
…11101111011010110010000
32121222000222212200201210120
410203221331131323112100
510111333340113303100
6110343210045230240
74136005624333341
oct443517535732620
977860885621716
1020042422400400
116427a41a38384
1222b8432862380
13b24cb9195aca
144d40b643a0c8
1524b53936b0a0
hex123a7d77b590

20042422400400 has 60 divisors (see below), whose sum is σ = 64202559759792. Its totient is φ = 5344645973120.

The previous prime is 20042422400369. The next prime is 20042422400423. The reversal of 20042422400400 is 400422424002.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 8351008134 + ... + 8351010533.

Almost surely, 220042422400400 is an apocalyptic number.

20042422400400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20042422400400 is an abundant number, since it is smaller than the sum of its proper divisors (44160137359392).

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

20042422400400 is a wasteful number, since it uses less digits than its factorization.

20042422400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16702018688 (or 16702018677 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 20042422400400 its reverse (400422424002), we get a palindrome (20442844824402).

The spelling of 20042422400400 in words is "twenty trillion, forty-two billion, four hundred twenty-two million, four hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 16702018667 33404037334 50106056001 66808074668 83510093335 100212112002 133616149336 167020186670 200424224004 250530280005 267232298672 334040373340 400848448008 417550466675 501060560010 668080746680 801696896016 835100933350 1002121120020 1252651400025 1336161493360 1670201866700 2004242240040 2505302800050 3340403733400 4008484480080 5010605600100 6680807466800 10021211200200 20042422400400