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642144343441246 = 21939194311950843
BaseRepresentation
bin1001001000000001101110000…
…1011111000011111101011110
310010012122101210101022121000021
42102000123201133003331132
51133131343103410104441
610153421012222422354
7252154253310664252
oct22200334137037536
93105571711277007
10642144343441246
111766749832276a8
126002ba614319ba
132173cc4b019bc9
14b47dd4861a262
154e389ac09e3d1
hex24806e17c3f5e

642144343441246 has 16 divisors (see below), whose sum is σ = 1014170838508800. Its totient is φ = 304096021181208.

The previous prime is 642144343441231. The next prime is 642144343441261.

642144343441246 is nontrivially palindromic in base 10.

642144343441246 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (642144343441231) and next prime (642144343441261).

It is a junction number, because it is equal to n+sod(n) for n = 642144343441193 and 642144343441202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2155826500 + ... + 2156124343.

It is an arithmetic number, because the mean of its divisors is an integer number (63385677406800).

Almost surely, 2642144343441246 is an apocalyptic number.

642144343441246 is a deficient number, since it is larger than the sum of its proper divisors (372026495067554).

642144343441246 is a wasteful number, since it uses less digits than its factorization.

642144343441246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4311954783.

The product of its digits is 21233664, while the sum is 52.

The spelling of 642144343441246 in words is "six hundred forty-two trillion, one hundred forty-four billion, three hundred forty-three million, four hundred forty-one thousand, two hundred forty-six".

Divisors: 1 2 19 38 3919 7838 74461 148922 4311950843 8623901686 81927066017 163854132034 16898535353717 33797070707434 321072171720623 642144343441246