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42422102433 = 333721318761
BaseRepresentation
bin100111100000100011…
…011110100110100001
311001111110200002102000
4213200203132212201
51143340024234213
631253300514213
73031154630634
oct474043364641
9131443602360
1042422102433
1116a9a197497
12827b0ab969
134000b09579
1420a6141c1b
151184476c73
hex9e08de9a1

42422102433 has 48 divisors (see below), whose sum is σ = 65092547520. Its totient is φ = 27303868800.

The previous prime is 42422102417. The next prime is 42422102449. The reversal of 42422102433 is 33420122424.

42422102433 is a `hidden beast` number, since 4 + 2 + 4 + 221 + 0 + 2 + 433 = 666.

It is an interprime number because it is at equal distance from previous prime (42422102417) and next prime (42422102449).

It is not a de Polignac number, because 42422102433 - 24 = 42422102417 is a prime.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42422102397 and 42422102406.

It is not an unprimeable number, because it can be changed into a prime (42422102033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4837773 + ... + 4846533.

It is an arithmetic number, because the mean of its divisors is an integer number (1356094740).

Almost surely, 242422102433 is an apocalyptic number.

It is an amenable number.

42422102433 is a deficient number, since it is larger than the sum of its proper divisors (22670445087).

42422102433 is a wasteful number, since it uses less digits than its factorization.

42422102433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8975 (or 8932 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 42422102433 its reverse (33420122424), we get a palindrome (75842224857).

The spelling of 42422102433 in words is "forty-two billion, four hundred twenty-two million, one hundred two thousand, four hundred thirty-three".

Divisors: 1 3 9 27 37 111 131 333 393 999 1179 1369 3537 4107 4847 8761 12321 14541 26283 36963 43623 78849 130869 179339 236547 324157 538017 972471 1147691 1614051 2917413 3443073 4842153 8752239 10329219 11993809 30987657 35981427 42464567 107944281 127393701 323832843 382181103 1146543309 1571188979 4713566937 14140700811 42422102433