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442423131440 = 2456782541629
BaseRepresentation
bin1100111000000100111…
…10010011110100110000
31120021222020011201221012
412130002132103310300
524222040310201230
6535125115050052
743651441365653
oct6340236236460
91507866151835
10442423131440
111606a3361a04
12718b2740928
1332949718094
14175b04d189a
15b795ec5395
hex6702793d30

442423131440 has 40 divisors (see below), whose sum is σ = 1043986536240. Its totient is φ = 174327918336.

The previous prime is 442423131431. The next prime is 442423131511. The reversal of 442423131440 is 44131324244.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 442423131397 and 442423131406.

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, 41265455 + ... + 41276174.

It is an arithmetic number, because the mean of its divisors is an integer number (26099663406).

Almost surely, 2442423131440 is an apocalyptic number.

442423131440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442423131440 is an abundant number, since it is smaller than the sum of its proper divisors (601563404800).

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

442423131440 is a wasteful number, since it uses less digits than its factorization.

442423131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82541709 (or 82541703 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 442423131440 its reverse (44131324244), we get a palindrome (486554455684).

The spelling of 442423131440 in words is "four hundred forty-two billion, four hundred twenty-three million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 82541629 165083258 330166516 412708145 660333032 825416290 1320666064 1650832580 3301665160 5530289143 6603330320 11060578286 22121156572 27651445715 44242313144 55302891430 88484626288 110605782860 221211565720 442423131440