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42201244242 = 2331965362989
BaseRepresentation
bin100111010011011000…
…111110001001010010
311000221002002022221000
4213103120332021102
51142412004303432
631215331042430
73022533441333
oct472330761122
9130832068830
1042201244242
1116996558463
128219140416
133c9712b351
142084a9028a
15116ed9c57c
hex9d363e252

42201244242 has 64 divisors (see below), whose sum is σ = 98869104000. Its totient is φ = 13306089024.

The previous prime is 42201244213. The next prime is 42201244259. The reversal of 42201244242 is 24244210224.

42201244242 is a `hidden beast` number, since 4 + 220 + 12 + 4 + 424 + 2 = 666.

42201244242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×422012442423 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 638484 + ... + 701472.

It is an arithmetic number, because the mean of its divisors is an integer number (1544829750).

Almost surely, 242201244242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42201244242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49434552000).

42201244242 is an abundant number, since it is smaller than the sum of its proper divisors (56667859758).

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

42201244242 is a wasteful number, since it uses less digits than its factorization.

42201244242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63672 (or 63666 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 42201244242 its reverse (24244210224), we get a palindrome (66445454466).

The spelling of 42201244242 in words is "forty-two billion, two hundred one million, two hundred forty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 653 1026 1306 1959 3918 5877 11754 12407 17631 24814 35262 37221 62989 74442 111663 125978 188967 223326 334989 377934 566901 669978 1133802 1196791 1700703 2393582 3401406 3590373 7180746 10771119 21542238 32313357 41131817 64626714 82263634 123395451 246790902 370186353 740372706 781504523 1110559059 1563009046 2221118118 2344513569 4689027138 7033540707 14067081414 21100622121 42201244242