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420431050305441 = 3379912244705259
BaseRepresentation
bin101111110011000010011101…
…1011001111110111110100001
32001010121211000202220221101000
41133212010323121332332201
5420101320242334233231
64050103205205102213
7154362066235054140
oct13746047331767641
92033554022827330
10420431050305441
11111a6489731208a
123b1a24300b7969
131507962a006506
1475b6d85797757
15339159a8036e6
hex17e613b67efa1

420431050305441 has 32 divisors (see below), whose sum is σ = 712559237734400. Its totient is φ = 240003886185360.

The previous prime is 420431050305419. The next prime is 420431050305517. The reversal of 420431050305441 is 144503050134024.

420431050305441 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 3 + 105 + 0 + 3 + 0 + 544 + 1 = 666.

It is not a de Polignac number, because 420431050305441 - 214 = 420431050289057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 420431050305396 and 420431050305405.

It is not an unprimeable number, because it can be changed into a prime (420431050305841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1122165331 + ... + 1122539928.

It is an arithmetic number, because the mean of its divisors is an integer number (22267476179200).

Almost surely, 2420431050305441 is an apocalyptic number.

It is an amenable number.

420431050305441 is a deficient number, since it is larger than the sum of its proper divisors (292128187428959).

420431050305441 is a wasteful number, since it uses less digits than its factorization.

420431050305441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244706266 (or 2244706260 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 420431050305441 in words is "four hundred twenty trillion, four hundred thirty-one billion, fifty million, three hundred five thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 27 63 189 991 2973 6937 8919 20811 26757 62433 187299 2244705259 6734115777 15712936813 20202347331 47138810439 60607041993 141416431317 424249293951 2224502911669 6673508735007 15571520381683 20020526205021 46714561145049 60061578615063 140143683435147 420431050305441