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42202014441031 = 4147121123180811
BaseRepresentation
bin10011001100001111011000…
…00101000101111001000111
312112102110202221120202101001
421212013230011011321013
521012414211144103111
6225431200543514131
711613665155004524
oct1146075405057107
9175373687522331
1042202014441031
11124a0856a47455
1248970492b8947
131a7182c5b0433
14a5c8347c414b
154d2b87e351c1
hex2661ec145e47

42202014441031 has 16 divisors (see below), whose sum is σ = 44151756139008. Its totient is φ = 40296126628800.

The previous prime is 42202014441011. The next prime is 42202014441179. The reversal of 42202014441031 is 13014441020224.

It is not a de Polignac number, because 42202014441031 - 227 = 42201880223303 is a prime.

It is a super-3 number, since 3×422020144410313 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42202014441011) 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, 233313616 + ... + 233494426.

It is an arithmetic number, because the mean of its divisors is an integer number (2759484758688).

Almost surely, 242202014441031 is an apocalyptic number.

42202014441031 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

42202014441031 is a deficient number, since it is larger than the sum of its proper divisors (1949741697977).

42202014441031 is a wasteful number, since it uses less digits than its factorization.

42202014441031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302022.

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 42202014441031 its reverse (13014441020224), we get a palindrome (55216455461255).

The spelling of 42202014441031 in words is "forty-two trillion, two hundred two billion, fourteen million, four hundred forty-one thousand, thirty-one".

Divisors: 1 41 47 1927 121123 180811 4966043 5692781 7413251 8498117 233404021 348422797 21900370753 897915200873 1029317425391 42202014441031