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42330244341 = 37111743250681
BaseRepresentation
bin100111011011000101…
…000100010011110101
311001021001211012210110
4213123011010103311
51143143020304331
631240220013233
73025661066040
oct473305042365
9131231735713
1042330244341
1116a52357110
128254391219
133cb7a86978
142097c6dc57
15117b37e946
hex9db1444f5

42330244341 has 64 divisors (see below), whose sum is σ = 76239415296. Its totient is φ = 20214835200.

The previous prime is 42330244337. The next prime is 42330244367. The reversal of 42330244341 is 14344203324.

It is a happy number.

42330244341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42330244341 - 22 = 42330244337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42330244299 and 42330244308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42330244241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43521 + ... + 294201.

It is an arithmetic number, because the mean of its divisors is an integer number (1191240864).

Almost surely, 242330244341 is an apocalyptic number.

It is an amenable number.

42330244341 is a deficient number, since it is larger than the sum of its proper divisors (33909170955).

42330244341 is a wasteful number, since it uses less digits than its factorization.

42330244341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250762.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 42330244341 its reverse (14344203324), we get a palindrome (56674447665).

The spelling of 42330244341 in words is "forty-two billion, three hundred thirty million, two hundred forty-four thousand, three hundred forty-one".

Divisors: 1 3 7 11 17 21 33 43 51 77 119 129 187 231 301 357 473 561 731 903 1309 1419 2193 3311 3927 5117 8041 9933 15351 24123 56287 168861 250681 752043 1754767 2757491 4261577 5264301 8272473 10779283 12784731 19302437 29831039 32337849 46877347 57907311 75454981 89493117 118572113 140632041 183247811 226364943 328141429 355716339 549743433 830004791 984424287 1282734677 2015725921 2490014373 3848204031 6047177763 14110081447 42330244341