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42034442010 = 23511472710151
BaseRepresentation
bin100111001001011100…
…101010111100011010
311000111110012220021120
4213021130222330122
51142041304121020
631151011550110
73015436601421
oct471134527432
9130443186246
1042034442010
111691038a480
1281912bb336
133c6b6c86c2
14206a8702b8
1511603ee740
hex9c972af1a

42034442010 has 64 divisors (see below), whose sum is σ = 112395423744. Its totient is φ = 9973352000.

The previous prime is 42034441997. The next prime is 42034442017. The reversal of 42034442010 is 1024443024.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42034442017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1339566 + ... + 1370585.

It is an arithmetic number, because the mean of its divisors is an integer number (1756178496).

Almost surely, 242034442010 is an apocalyptic number.

42034442010 is an abundant number, since it is smaller than the sum of its proper divisors (70360981734).

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

42034442010 is a wasteful number, since it uses less digits than its factorization.

42034442010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710219.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42034442010 its reverse (1024443024), we get a palindrome (43058885034).

The spelling of 42034442010 in words is "forty-two billion, thirty-four million, four hundred forty-two thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 47 55 66 94 110 141 165 235 282 330 470 517 705 1034 1410 1551 2585 3102 5170 7755 15510 2710151 5420302 8130453 13550755 16260906 27101510 29811661 40652265 59623322 81304530 89434983 127377097 149058305 178869966 254754194 298116610 382131291 447174915 636885485 764262582 894349830 1273770970 1401148067 1910656455 2802296134 3821312910 4203444201 7005740335 8406888402 14011480670 21017221005 42034442010