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42340324404 = 22373714399467
BaseRepresentation
bin100111011011101011…
…100001010000110100
311001021202210100001010
4213123223201100310
51143203110340104
631241220032220
73026142551010
oct473353412064
9131252710033
1042340324404
1116a58011444
128257832670
133cb9ba5ac1
142099335540
15117c1c1489
hex9dbae1434

42340324404 has 96 divisors (see below), whose sum is σ = 116051927040. Its totient is φ = 11760861312.

The previous prime is 42340324291. The next prime is 42340324409. The reversal of 42340324404 is 40442304324.

42340324404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42340324409) 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, 4467679 + ... + 4477145.

It is an arithmetic number, because the mean of its divisors is an integer number (1208874240).

Almost surely, 242340324404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42340324404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58025963520).

42340324404 is an abundant number, since it is smaller than the sum of its proper divisors (73711602636).

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

42340324404 is a wasteful number, since it uses less digits than its factorization.

42340324404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10957 (or 10955 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 42340324404 its reverse (40442304324), we get a palindrome (82782628728).

The spelling of 42340324404 in words is "forty-two billion, three hundred forty million, three hundred twenty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1439 1554 2878 3108 4317 5756 8634 9467 10073 17268 18934 20146 28401 30219 37868 40292 53243 56802 60438 66269 106486 113604 120876 132538 159729 198807 212972 265076 319458 350279 372701 397614 638916 700558 745402 795228 1050837 1118103 1401116 1490804 2101674 2236206 2451953 4203348 4472412 4903906 7355859 9807812 13623013 14711718 27246026 29423436 40869039 54492052 81738078 95361091 163476156 190722182 286083273 381444364 504051481 572166546 1008102962 1144333092 1512154443 2016205924 3024308886 3528360367 6048617772 7056720734 10585081101 14113441468 21170162202 42340324404