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42123233225333 = 13171571214030989
BaseRepresentation
bin10011001001111100101000…
…10110100110101001110101
312112010221102112211100010102
421210332110112212221311
521010121340201202313
6225331051325003445
711605205662505111
oct1144762426465165
9175127375740112
1042123233225333
11124703aa007027
1248839216b3585
131a67285b18a80
14a58abd868741
154d0ac6962a58
hex264f945a6a75

42123233225333 has 16 divisors (see below), whose sum is σ = 48337857897840. Its totient is φ = 36362656152576.

The previous prime is 42123233225317. The next prime is 42123233225347. The reversal of 42123233225333 is 33352233232124.

It can be written as a sum of positive squares in 8 ways, for example, as 337894576369 + 41785338648964 = 581287^2 + 6464158^2 .

It is not a de Polignac number, because 42123233225333 - 24 = 42123233225317 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42123233225533) 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, 606980798 + ... + 607050191.

It is an arithmetic number, because the mean of its divisors is an integer number (3021116118615).

Almost surely, 242123233225333 is an apocalyptic number.

It is an amenable number.

42123233225333 is a deficient number, since it is larger than the sum of its proper divisors (6214624672507).

42123233225333 is a wasteful number, since it uses less digits than its factorization.

42123233225333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214031176.

The product of its digits is 466560, while the sum is 38.

Adding to 42123233225333 its reverse (33352233232124), we get a palindrome (75475466457457).

The spelling of 42123233225333 in words is "forty-two trillion, one hundred twenty-three billion, two hundred thirty-three million, two hundred twenty-five thousand, three hundred thirty-three".

Divisors: 1 13 17 157 221 2041 2669 34697 1214030989 15782402857 20638526813 190602865273 268300848569 2477837248549 3240248709641 42123233225333