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42102223232 = 27738950627
BaseRepresentation
bin100111001101011111…
…001111000110000000
311000200011202112122012
4213031133033012000
51142211132120412
631201432432052
73020221664336
oct471537170600
9130604675565
1042102223232
1116945675513
1281abb48628
133c7c76b334
142075875b56
15116633cc22
hex9cd7cf180

42102223232 has 64 divisors (see below), whose sum is σ = 85981532400. Its totient is φ = 20529045504.

The previous prime is 42102223231. The next prime is 42102223243. The reversal of 42102223232 is 23232220124.

42102223232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 42102223198 and 42102223207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42102223231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 806303 + ... + 856929.

Almost surely, 242102223232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42102223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42990766200).

42102223232 is an abundant number, since it is smaller than the sum of its proper divisors (43879309168).

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

42102223232 is an equidigital number, since it uses as much as digits as its factorization.

42102223232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50803 (or 50791 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 42102223232 its reverse (23232220124), we get a palindrome (65334443356).

The spelling of 42102223232 in words is "forty-two billion, one hundred two million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 73 89 128 146 178 292 356 584 712 1168 1424 2336 2848 4672 5696 6497 9344 11392 12994 25988 50627 51976 101254 103952 202508 207904 405016 415808 810032 831616 1620064 3240128 3695771 4505803 6480256 7391542 9011606 14783084 18023212 29566168 36046424 59132336 72092848 118264672 144185696 236529344 288371392 328923619 473058688 576742784 657847238 1315694476 2631388952 5262777904 10525555808 21051111616 42102223232