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454227624240 = 243513145585777
BaseRepresentation
bin1101001110000100001…
…00111000000100110000
31121102102220102002211020
412213002010320010300
524420224232433430
6544400322215440
744550120046605
oct6470204700460
91542386362736
10454227624240
1116570071a085
1274047ab4580
1333aab209570
1417db017a6ac
15bc374c7b10
hex69c2138130

454227624240 has 80 divisors (see below), whose sum is σ = 1516421463648. Its totient is φ = 111809875968.

The previous prime is 454227624233. The next prime is 454227624241. The reversal of 454227624240 is 42426722454.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 454227624192 and 454227624201.

It is not an unprimeable number, because it can be changed into a prime (454227624241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72789769 + ... + 72796008.

Almost surely, 2454227624240 is an apocalyptic number.

454227624240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

454227624240 is an abundant number, since it is smaller than the sum of its proper divisors (1062193839408).

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

454227624240 is a wasteful number, since it uses less digits than its factorization.

454227624240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145585806 (or 145585800 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 42.

The spelling of 454227624240 in words is "four hundred fifty-four billion, two hundred twenty-seven million, six hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 145585777 291171554 436757331 582343108 727928885 873514662 1164686216 1455857770 1747029324 1892615101 2183786655 2329372432 2911715540 3494058648 3785230202 4367573310 5677845303 5823431080 6988117296 7570460404 8735146620 9463075505 11355690606 11646862160 15140920808 17470293240 18926151010 22711381212 28389226515 30281841616 34940586480 37852302020 45422762424 56778453030 75704604040 90845524848 113556906060 151409208080 227113812120 454227624240