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42755340113160 = 23351073715989611
BaseRepresentation
bin10011011100010110000001…
…10111000001010100001000
312121101101000011110021202020
421232023000313001110020
521101000414032110120
6230533310533204440
712001654120424103
oct1156130067012410
9177341004407666
1042755340113160
111269448a956664
124966330a90720
131ab1a7149b34c
14a7b525cb773a
154e2270382640
hex26e2c0dc1508

42755340113160 has 128 divisors (see below), whose sum is σ = 129469697049600. Its totient is φ = 11294438664960.

The previous prime is 42755340113099. The next prime is 42755340113177. The reversal of 42755340113160 is 6131104355724.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477076755 + ... + 477166365.

It is an arithmetic number, because the mean of its divisors is an integer number (1011482008200).

Almost surely, 242755340113160 is an apocalyptic number.

42755340113160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42755340113160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64734848524800).

42755340113160 is an abundant number, since it is smaller than the sum of its proper divisors (86714356936440).

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

42755340113160 is a wasteful number, since it uses less digits than its factorization.

42755340113160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126891 (or 126887 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

Adding to 42755340113160 its reverse (6131104355724), we get a palindrome (48886444468884).

The spelling of 42755340113160 in words is "forty-two trillion, seven hundred fifty-five billion, three hundred forty million, one hundred thirteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 2140 2568 3210 4280 6420 12840 37159 74318 89611 111477 148636 179222 185795 222954 268833 297272 358444 371590 445908 448055 537666 557385 716888 743180 891816 896110 1075332 1114770 1344165 1486360 1792220 2150664 2229540 2688330 3584440 3976013 4459080 5376660 7952026 9588377 10753320 11928039 15904052 19176754 19880065 23856078 28765131 31808104 38353508 39760130 47712156 47941885 57530262 59640195 76707016 79520260 95424312 95883770 115060524 119280390 143825655 159040520 191767540 230121048 238560780 287651310 383535080 477121560 575302620 1150605240 3329855149 6659710298 9989565447 13319420596 16649275745 19979130894 26638841192 33298551490 39958261788 49947827235 66597102980 79916523576 99895654470 133194205960 199791308940 356294500943 399582617880 712589001886 1068883502829 1425178003772 1781472504715 2137767005658 2850356007544 3562945009430 4275534011316 5344417514145 7125890018860 8551068022632 10688835028290 14251780037720 21377670056580 42755340113160