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42442131322041 = 31113733503280207
BaseRepresentation
bin10011010011001110101000…
…01010010011010010111001
312120021102120002212010222020
421221213110022103102321
521030332441104301131
6230133351305545053
711640225402553353
oct1151472412232271
9176242502763866
1042442131322041
1112583674738070
12491569baa5189
131a8b377c56209
14a6a2d27ba0d3
154d903d27c996
hex2699d42934b9

42442131322041 has 32 divisors (see below), whose sum is σ = 62186700423168. Its totient is φ = 25533895040640.

The previous prime is 42442131322039. The next prime is 42442131322043. The reversal of 42442131322041 is 14022313124424.

It is an interprime number because it is at equal distance from previous prime (42442131322039) and next prime (42442131322043).

It is not a de Polignac number, because 42442131322041 - 21 = 42442131322039 is a prime.

It is a super-2 number, since 2×424421313220412 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 42442131321993 and 42442131322011.

It is not an unprimeable number, because it can be changed into a prime (42442131322043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151326960 + ... + 151607166.

It is an arithmetic number, because the mean of its divisors is an integer number (1943334388224).

Almost surely, 242442131322041 is an apocalyptic number.

It is an amenable number.

42442131322041 is a deficient number, since it is larger than the sum of its proper divisors (19744569101127).

42442131322041 is a wasteful number, since it uses less digits than its factorization.

42442131322041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313861.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 42442131322041 its reverse (14022313124424), we get a palindrome (56464444446465).

The spelling of 42442131322041 in words is "forty-two trillion, four hundred forty-two billion, one hundred thirty-one million, three hundred twenty-two thousand, forty-one".

Divisors: 1 3 11 33 137 411 1507 4521 33503 100509 280207 368533 840621 1105599 3082277 4589911 9246831 13769733 38388359 50489021 115165077 151467063 422271949 1266815847 9387775121 28163325363 103265526331 309796578993 1286125191577 3858375574731 14147377107347 42442131322041