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4021443441088 = 261941571141263
BaseRepresentation
bin111010100001010000101…
…101010011000111000000
3112020110001022022101002221
4322201100231103013000
51011341404010103323
612315231533220424
7563353055152063
oct72412055230700
915213038271087
104021443441088
111310536a90307
1254b471331714
132322b3551a08
14dc8d32048da
156e9187ec55d
hex3a850b531c0

4021443441088 has 112 divisors (see below), whose sum is σ = 8620064893440. Its totient is φ = 1855165593600.

The previous prime is 4021443441079. The next prime is 4021443441089. The reversal of 4021443441088 is 8801443441204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4021443441089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28397145 + ... + 28538407.

It is an arithmetic number, because the mean of its divisors is an integer number (76964865120).

Almost surely, 24021443441088 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 4021443441088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310032446720).

4021443441088 is an abundant number, since it is smaller than the sum of its proper divisors (4598621452352).

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

4021443441088 is a wasteful number, since it uses less digits than its factorization.

4021443441088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141906 (or 141896 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 43.

The spelling of 4021443441088 in words is "four trillion, twenty-one billion, four hundred forty-three million, four hundred forty-one thousand, eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 82 152 164 304 328 571 608 656 779 1142 1216 1312 1558 2284 2624 3116 4568 6232 9136 10849 12464 18272 21698 23411 24928 36544 43396 46822 49856 86792 93644 141263 173584 187288 282526 347168 374576 444809 565052 694336 749152 889618 1130104 1498304 1779236 2260208 2683997 3558472 4520416 5367994 5791783 7116944 9040832 10735988 11583566 14233888 21471976 23167132 28467776 42943952 46334264 80661173 85887904 92668528 110043877 161322346 171775808 185337056 220087754 322644692 370674112 440175508 645289384 880351016 1290578768 1532562287 1760702032 2581157536 3065124574 3307108093 3521404064 5162315072 6130249148 6614216186 7042808128 12260498296 13228432372 24520996592 26456864744 49041993184 52913729488 62835053767 98083986368 105827458976 125670107534 211654917952 251340215068 502680430136 1005360860272 2010721720544 4021443441088