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3422403544120 = 2351183349268519
BaseRepresentation
bin110001110011010111001…
…001011100010000111000
3110010011211012001121101021
4301303113021130100320
5422033040301402440
611140121441232224
7502155231066211
oct61632711342070
913104735047337
103422403544120
1110aa4846403a0
12473350032674
131ba9677a2a12
14bb906684408
155e057dce84a
hex31cd725c438

3422403544120 has 128 divisors (see below), whose sum is σ = 8526047040000. Its totient is φ = 1225988743680.

The previous prime is 3422403544117. The next prime is 3422403544121. The reversal of 3422403544120 is 214453042243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3422403544121) 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, 12611221 + ... + 12879739.

It is an arithmetic number, because the mean of its divisors is an integer number (66609742500).

Almost surely, 23422403544120 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 3422403544120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4263023520000).

3422403544120 is an abundant number, since it is smaller than the sum of its proper divisors (5103643495880).

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

3422403544120 is a wasteful number, since it uses less digits than its factorization.

3422403544120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268973 (or 268969 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

Adding to 3422403544120 its reverse (214453042243), we get a palindrome (3636856586363).

The spelling of 3422403544120 in words is "three trillion, four hundred twenty-two billion, four hundred three million, five hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 83 88 110 166 220 332 349 415 440 664 698 830 913 1396 1660 1745 1826 2792 3320 3490 3652 3839 4565 6980 7304 7678 9130 13960 15356 18260 19195 28967 30712 36520 38390 57934 76780 115868 144835 153560 231736 268519 289670 318637 537038 579340 637274 1074076 1158680 1274548 1342595 1593185 2148152 2549096 2685190 2953709 3186370 5370380 5907418 6372740 10740760 11814836 12745480 14768545 22287077 23629672 29537090 44574154 59074180 89148308 93713131 111435385 118148360 178296616 187426262 222870770 245157847 374852524 445741540 468565655 490315694 749705048 891483080 937131310 980631388 1030844441 1225789235 1874262620 1961262776 2061688882 2451578470 3748525240 4123377764 4903156940 5154222205 7778189873 8246755528 9806313880 10308444410 15556379746 20616888820 31112759492 38890949365 41233777640 62225518984 77781898730 85560088603 155563797460 171120177206 311127594920 342240354412 427800443015 684480708824 855600886030 1711201772060 3422403544120