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42442131200 = 28527947369
BaseRepresentation
bin100111100001101111…
…111000011100000000
311001112212100122201012
4213201233320130000
51143410141144300
631255254100052
73031520106560
oct474157703400
9131485318635
1042442131200
1116aaa527397
12828594a628
134004cccb01
1420a8a76da0
1511860d1435
hex9e1bf8700

42442131200 has 108 divisors (see below), whose sum is σ = 120058305360. Its totient is φ = 14551572480.

The previous prime is 42442131197. The next prime is 42442131211. The reversal of 42442131200 is 213124424.

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 11 ways as a sum of consecutive naturals, for example, 428885 + ... + 518484.

Almost surely, 242442131200 is an apocalyptic number.

42442131200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42442131200 is an abundant number, since it is smaller than the sum of its proper divisors (77616174160).

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

42442131200 is an equidigital number, since it uses as much as digits as its factorization.

42442131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947402 (or 947383 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 42442131200 its reverse (213124424), we get a palindrome (42655255624).

The spelling of 42442131200 in words is "forty-two billion, four hundred forty-two million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 280 320 350 400 448 560 640 700 800 896 1120 1280 1400 1600 1792 2240 2800 3200 4480 5600 6400 8960 11200 22400 44800 947369 1894738 3789476 4736845 6631583 7578952 9473690 13263166 15157904 18947380 23684225 26526332 30315808 33157915 37894760 47368450 53052664 60631616 66315830 75789520 94736900 106105328 121263232 132631660 151579040 165789575 189473800 212210656 242526464 265263320 303158080 331579150 378947600 424421312 530526640 606316160 663158300 757895200 848842624 1061053280 1212632320 1326316600 1515790400 1697685248 2122106560 2652633200 3031580800 4244213120 5305266400 6063161600 8488426240 10610532800 21221065600 42442131200