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2442662442420 = 2235192142686353
BaseRepresentation
bin100011100010111010000…
…001101111010110110100
322122111221100022211211220
4203202322001233112310
5310010033041124140
65110051005230340
7341322311116464
oct43427201572664
98574840284756
102442662442420
11861a222a5662
123354a28623b0
1314945a71b785
1486322a77ba4
1543814ec4bd0
hex238ba06f5b4

2442662442420 has 48 divisors (see below), whose sum is σ = 7199426149440. Its totient is φ = 617093669376.

The previous prime is 2442662442379. The next prime is 2442662442443. The reversal of 2442662442420 is 242442662442.

2442662442420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1071342037 + ... + 1071344316.

It is an arithmetic number, because the mean of its divisors is an integer number (149988044780).

Almost surely, 22442662442420 is an apocalyptic number.

2442662442420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442662442420 is an abundant number, since it is smaller than the sum of its proper divisors (4756763707020).

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

2442662442420 is a wasteful number, since it uses less digits than its factorization.

2442662442420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142686384 (or 2142686382 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 42.

The spelling of 2442662442420 in words is "two trillion, four hundred forty-two billion, six hundred sixty-two million, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 2142686353 4285372706 6428059059 8570745412 10713431765 12856118118 21426863530 25712236236 32140295295 40711040707 42853727060 64280590590 81422081414 122133122121 128561181180 162844162828 203555203535 244266244242 407110407070 488532488484 610665610605 814220814140 1221331221210 2442662442420