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42110112440144 = 24719473251129509
BaseRepresentation
bin10011001001100100001100…
…10010110001111101010000
312112002200120010202101112102
421210302012102301331100
521004413002241041034
6225321041341015532
711604232561616060
oct1144620622617520
9175080503671472
1042110112440144
1112465886733a01
12488127b5545a8
131a65c74706958
14a581d705b3a0
154d05a9b0297e
hex264c864b1f50

42110112440144 has 160 divisors (see below), whose sum is σ = 100271325081600. Its totient is φ = 16728289344000.

The previous prime is 42110112440141. The next prime is 42110112440171. The reversal of 42110112440144 is 44104421101124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42110112440141) 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, 325087262 + ... + 325216770.

It is an arithmetic number, because the mean of its divisors is an integer number (626695781760).

Almost surely, 242110112440144 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 42110112440144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50135662540800).

42110112440144 is an abundant number, since it is smaller than the sum of its proper divisors (58161212641456).

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

42110112440144 is a wasteful number, since it uses less digits than its factorization.

42110112440144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132841 (or 132835 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

Adding to 42110112440144 its reverse (44104421101124), we get a palindrome (86214533541268).

The spelling of 42110112440144 in words is "forty-two trillion, one hundred ten billion, one hundred twelve million, four hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 47 56 76 94 112 133 152 188 266 304 329 376 532 658 752 893 1064 1316 1786 2128 2632 3251 3572 5264 6251 6502 7144 12502 13004 14288 22757 25004 26008 45514 50008 52016 61769 91028 100016 123538 129509 152797 182056 247076 259018 305594 364112 432383 494152 518036 611188 864766 906563 988304 1036072 1069579 1222376 1729532 1813126 2072144 2139158 2444752 2460671 2903143 3459064 3626252 4278316 4921342 5806286 6086923 6918128 7252504 8556632 9842684 11612572 12173846 14505008 17113264 17224697 19685368 20322001 23225144 24347692 34449394 39370736 40644002 42608461 46450288 48695384 68898788 81288004 85216922 97390768 115651537 137797576 162576008 170433844 231303074 275595152 325152016 340867688 421033759 462606148 681735376 809560759 842067518 925212296 1619121518 1684135036 1850424592 2947236313 3238243036 3368270072 5894472626 6476486072 6736540144 7999641421 11788945252 12952972144 15999282842 19788586673 23577890504 31998565684 39577173346 47155781008 55997489947 63997131368 79154346692 111994979894 127994262736 138520106711 158308693384 223989959788 277040213422 316617386768 375983146787 447979919576 554080426844 751966293574 895959839152 1108160853688 1503932587148 2216321707376 2631882027509 3007865174296 5263764055018 6015730348592 10527528110036 21055056220072 42110112440144