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42110112440200 = 2352725381074533
BaseRepresentation
bin10011001001100100001100…
…10010110001111110001000
312112002200120010202101121111
421210302012102301332020
521004413002241041300
6225321041341020104
711604232561616200
oct1144620622617610
9175080503671544
1042110112440200
1112465886733a52
12488127b554634
131a65c7470699c
14a581d705b400
154d05a9b029ba
hex264c864b1f88

42110112440200 has 144 divisors (see below), whose sum is σ = 116039548278180. Its totient is φ = 14165342231040.

The previous prime is 42110112440171. The next prime is 42110112440251. The reversal of 42110112440200 is 204421101124.

It can be written as a sum of positive squares in 6 ways, for example, as 15261320417476 + 26848792022724 = 3906574^2 + 5181582^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40017867 + ... + 41056666.

Almost surely, 242110112440200 is an apocalyptic number.

42110112440200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42110112440200 is an abundant number, since it is smaller than the sum of its proper divisors (73929435837980).

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

42110112440200 is a wasteful number, since it uses less digits than its factorization.

42110112440200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81074616 (or 81074600 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 42110112440200 its reverse (204421101124), we get a palindrome (42314533541324).

The spelling of 42110112440200 in words is "forty-two trillion, one hundred ten billion, one hundred twelve million, four hundred forty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 53 56 70 98 100 106 140 175 196 200 212 245 265 280 350 371 392 424 490 530 700 742 980 1060 1225 1325 1400 1484 1855 1960 2120 2450 2597 2650 2968 3710 4900 5194 5300 7420 9275 9800 10388 10600 12985 14840 18550 20776 25970 37100 51940 64925 74200 103880 129850 259700 519400 81074533 162149066 324298132 405372665 567521731 648596264 810745330 1135043462 1621490660 2026863325 2270086924 2837608655 3242981320 3972652117 4053726650 4296950249 4540173848 5675217310 7945304234 8107453300 8593900498 11350434620 14188043275 15890608468 16214906600 17187800996 19863260585 21484751245 22700869240 28376086550 30078651743 31781216936 34375601992 39726521170 42969502490 56752173100 60157303486 79453042340 85939004980 99316302925 107423756225 113504346200 120314606972 150393258715 158906084680 171878009960 198632605850 210550562201 214847512450 240629213944 300786517430 397265211700 421101124402 429695024900 601573034860 751966293575 794530423400 842202248804 859390049800 1052752811005 1203146069720 1503932587150 1684404497608 2105505622010 3007865174300 4211011244020 5263764055025 6015730348600 8422022488040 10527528110050 21055056220100 42110112440200