Search a number
-
+
42346066500120 = 23355938811541119
BaseRepresentation
bin10011010000011011101100…
…10000000101101000011000
312112221020121011221120012210
421220031312100011220120
521022244221011000440
6230021303035235120
711630255001212265
oct1150156620055030
9175836534846183
1042346066500120
1112546958641559
1248bab4bba8aa0
131a822a87c0516
14a657bc23826c
154d67b9761a80
hex268376405a18

42346066500120 has 128 divisors (see below), whose sum is σ = 129224761344000. Its totient is φ = 11098022231040.

The previous prime is 42346066500077. The next prime is 42346066500151. The reversal of 42346066500120 is 2100566064324.

It is a congruent 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, 26706921 + ... + 28248039.

It is an arithmetic number, because the mean of its divisors is an integer number (1009568448000).

Almost surely, 242346066500120 is an apocalyptic number.

42346066500120 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 42346066500120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64612380672000).

42346066500120 is an abundant number, since it is smaller than the sum of its proper divisors (86878694843880).

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

42346066500120 is a wasteful number, since it uses less digits than its factorization.

42346066500120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545073 (or 1545069 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 42346066500120 in words is "forty-two trillion, three hundred forty-six billion, sixty-six million, five hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1180 1416 1770 2360 3540 3881 7080 7762 11643 15524 19405 23286 31048 38810 46572 58215 77620 93144 116430 155240 228979 232860 457958 465720 686937 915916 1144895 1373874 1541119 1831832 2289790 2747748 3082238 3434685 4579580 4623357 5495496 6164476 6869370 7705595 9159160 9246714 12328952 13738740 15411190 18493428 23116785 27477480 30822380 36986856 46233570 61644760 90926021 92467140 181852042 184934280 272778063 363704084 454630105 545556126 727408168 909260210 1091112252 1363890315 1818520420 2182224504 2727780630 3637040840 5455561260 5981082839 10911122520 11962165678 17943248517 23924331356 29905414195 35886497034 47848662712 59810828390 71772994068 89716242585 119621656780 143545988136 179432485170 239243313560 352883887501 358864970340 705767775002 717729940680 1058651662503 1411535550004 1764419437505 2117303325006 2823071100008 3528838875010 4234606650012 5293258312515 7057677750020 8469213300024 10586516625030 14115355500040 21173033250060 42346066500120