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42442112000 = 21053331579
BaseRepresentation
bin100111100001101111…
…110011110000000000
311001112212022200101002
4213201233303300000
51143410140041000
631255253431132
73031516666601
oct474157636000
9131485280332
1042442112000
1116aaa513a22
12828593b4a8
134004cc4152
1420a8a6dda8
1511860ca8d5
hex9e1bf3c00

42442112000 has 88 divisors (see below), whose sum is σ = 105884104560. Its totient is φ = 16976793600.

The previous prime is 42442111981. The next prime is 42442112131. The reversal of 42442112000 is 21124424.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37790 + ... + 293789.

Almost surely, 242442112000 is an apocalyptic number.

42442112000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42442112000 is an abundant number, since it is smaller than the sum of its proper divisors (63441992560).

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

42442112000 is an equidigital number, since it uses as much as digits as its factorization.

42442112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331614 (or 331586 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 42442112000 its reverse (21124424), we get a palindrome (42463236424).

The spelling of 42442112000 in words is "forty-two billion, four hundred forty-two million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1024 1280 1600 2000 2560 3200 4000 5120 6400 8000 12800 16000 25600 32000 64000 128000 331579 663158 1326316 1657895 2652632 3315790 5305264 6631580 8289475 10610528 13263160 16578950 21221056 26526320 33157900 41447375 42442112 53052640 66315800 82894750 84884224 106105280 132631600 165789500 169768448 212210560 265263200 331579000 339536896 424421120 530526400 663158000 848842240 1061052800 1326316000 1697684480 2122105600 2652632000 4244211200 5305264000 8488422400 10610528000 21221056000 42442112000