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642226440042 = 23411461781771
BaseRepresentation
bin10010101100001111010…
…11011100011101101010
32021101200212100110120000
421112013223130131222
541010234432040132
61211011301243430
764253653445445
oct11260753343552
92241625313500
10642226440042
1122840409aa30
12a4574403576
134873c06abc5
142312641265c
1511a8c04587c
hex9587adc76a

642226440042 has 80 divisors (see below), whose sum is σ = 1573294260384. Its totient is φ = 194191668000.

The previous prime is 642226440013. The next prime is 642226440049. The reversal of 642226440042 is 240044622246.

642226440042 is a `hidden beast` number, since 6 + 4 + 2 + 2 + 2 + 644 + 0 + 0 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 642226439979 and 642226440006.

It is not an unprimeable number, because it can be changed into a prime (642226440049) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 430617 + ... + 1212387.

Almost surely, 2642226440042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642226440042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786647130192).

642226440042 is an abundant number, since it is smaller than the sum of its proper divisors (931067820342).

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

642226440042 is a wasteful number, since it uses less digits than its factorization.

642226440042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782257 (or 782248 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 642226440042 in words is "six hundred forty-two billion, two hundred twenty-six million, four hundred forty thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 461 594 891 922 1383 1782 2766 4149 5071 8298 10142 12447 15213 24894 30426 37341 45639 74682 91278 136917 273834 410751 781771 821502 1563542 2345313 4690626 7035939 8599481 14071878 17198962 21107817 25798443 42215634 51596886 63323451 77395329 126646902 154790658 232185987 360396431 464371974 696557961 720792862 1081189293 1393115922 2162378586 3243567879 3964360741 6487135758 7928721482 9730703637 11893082223 19461407274 23786164446 29192110911 35679246669 58384221822 71358493338 107037740007 214075480014 321113220021 642226440042