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43202420135440 = 2452971892946943
BaseRepresentation
bin10011101001010110110001…
…11001111101011000010000
312122222002222221101120221221
421310223120321331120100
521130312024023313230
6231514530125454424
712046162150053226
oct1164533071753020
9178862887346857
1043202420135440
1112847052977585
124a18b03111414
131b14c80932427
14a95018a74b16
154edbda0d727a
hex274ad8e7d610

43202420135440 has 160 divisors (see below), whose sum is σ = 106556779929600. Its totient is φ = 16265233797120.

The previous prime is 43202420135417. The next prime is 43202420135453. The reversal of 43202420135440 is 4453102420234.

43202420135440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 43202420135396 and 43202420135405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13186609 + ... + 16133551.

It is an arithmetic number, because the mean of its divisors is an integer number (665979874560).

Almost surely, 243202420135440 is an apocalyptic number.

43202420135440 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 43202420135440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53278389964800).

43202420135440 is an abundant number, since it is smaller than the sum of its proper divisors (63354359794160).

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

43202420135440 is a wasteful number, since it uses less digits than its factorization.

43202420135440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947145 (or 2947139 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

Adding to 43202420135440 its reverse (4453102420234), we get a palindrome (47655522555674).

The spelling of 43202420135440 in words is "forty-three trillion, two hundred two billion, four hundred twenty million, one hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 71 80 89 116 142 145 178 232 284 290 355 356 445 464 568 580 710 712 890 1136 1160 1420 1424 1780 2059 2320 2581 2840 3560 4118 5162 5680 6319 7120 8236 10295 10324 12638 12905 16472 20590 20648 25276 25810 31595 32944 41180 41296 50552 51620 63190 82360 101104 103240 126380 164720 183251 206480 252760 366502 505520 733004 916255 1466008 1832510 2932016 2946943 3665020 5893886 7330040 11787772 14660080 14734715 23575544 29469430 47151088 58938860 85461347 117877720 170922694 209232953 235755440 262277927 341845388 418465906 427306735 524555854 683690776 836931812 854613470 1046164765 1049111708 1311389635 1367381552 1673863624 1709226940 2092329530 2098223416 2622779270 3347727248 3418453880 4184659060 4196446832 5245558540 6067755637 6836907760 7606059883 8369318120 10491117080 12135511274 15212119766 16738636240 18621732817 20982234160 24271022548 30338778185 30424239532 37243465634 38030299415 48542045096 60677556370 60848479064 74486931268 76060598830 93108664085 97084090192 121355112740 121696958128 148973862536 152121197660 186217328170 242710225480 297947725072 304242395320 372434656340 485420450960 540030251693 608484790640 744869312680 1080060503386 1489738625360 2160121006772 2700151258465 4320242013544 5400302516930 8640484027088 10800605033860 21601210067720 43202420135440