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4041222432140 = 2252923159131363
BaseRepresentation
bin111010110011101011101…
…000001010010110001100
3112022100002201222020002002
4322303223220022112030
51012202410420312030
612332302325451432
7564653154621035
oct72635350122614
915270081866062
104041222432140
111318966788003
12553271270b78
132341161c790a
14dd84bdd9a8c
15701c4e5e245
hex3aceba0a58c

4041222432140 has 144 divisors (see below), whose sum is σ = 9226671068160. Its totient is φ = 1484789940480.

The previous prime is 4041222432131. The next prime is 4041222432223. The reversal of 4041222432140 is 412342221404.

It is a happy number.

4041222432140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30698099 + ... + 30829461.

It is an arithmetic number, because the mean of its divisors is an integer number (64074104640).

Almost surely, 24041222432140 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 4041222432140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4613335534080).

4041222432140 is an abundant number, since it is smaller than the sum of its proper divisors (5185448636020).

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

4041222432140 is a wasteful number, since it uses less digits than its factorization.

4041222432140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131520 (or 131489 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 4041222432140 its reverse (412342221404), we get a palindrome (4453564653544).

The spelling of 4041222432140 in words is "four trillion, forty-one billion, two hundred twenty-two million, four hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 31 58 59 62 116 118 124 145 155 236 290 295 310 580 590 620 841 899 1180 1682 1711 1798 1829 3364 3422 3596 3658 4205 4495 6844 7316 8410 8555 8990 9145 16820 17110 17980 18290 26071 34220 36580 49619 52142 53041 99238 104284 106082 130355 131363 198476 212164 248095 260710 262726 265205 496190 521420 525452 530410 656815 992380 1060820 1313630 1538189 2627260 3076378 3809527 4072253 6152756 7619054 7690945 7750417 8144506 15238108 15381890 15500834 16289012 19047635 20361265 30763780 31001668 38095270 38752085 40722530 76190540 77504170 81445060 110476283 118095337 155008340 220952566 224762093 236190674 240262927 441905132 449524186 472381348 480525854 552381415 590476685 899048372 961051708 1104762830 1123810465 1180953370 1201314635 2209525660 2247620930 2361906740 2402629270 3424764773 4495241860 4805258540 6518100697 6849529546 6967624883 13036201394 13699059092 13935249766 17123823865 26072402788 27870499532 32590503485 34247647730 34838124415 65181006970 68495295460 69676248830 130362013940 139352497660 202061121607 404122243214 808244486428 1010305608035 2020611216070 4041222432140