Search a number
-
+
43085323104 = 2533730739511
BaseRepresentation
bin101000001000000101…
…011101101101100000
311010012200122012010120
4220020011131231200
51201214320314404
631443152000240
73053460126615
oct501005355540
9133180565116
1043085323104
11172aa5a5a4a
128425230080
1340a833c035
14212a26450c
1511c27d19d9
hexa0815db60

43085323104 has 96 divisors (see below), whose sum is σ = 116537008896. Its totient is φ = 13927749120.

The previous prime is 43085323103. The next prime is 43085323109. The reversal of 43085323104 is 40132358034.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43085323103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1070709 + ... + 1110219.

It is an arithmetic number, because the mean of its divisors is an integer number (1213927176).

Almost surely, 243085323104 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 43085323104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58268504448).

43085323104 is an abundant number, since it is smaller than the sum of its proper divisors (73451685792).

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

43085323104 is a wasteful number, since it uses less digits than its factorization.

43085323104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39868 (or 39860 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 43085323104 in words is "forty-three billion, eighty-five million, three hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 307 444 592 614 888 921 1184 1228 1776 1842 2456 3552 3684 4912 7368 9824 11359 14736 22718 29472 34077 39511 45436 68154 79022 90872 118533 136308 158044 181744 237066 272616 316088 363488 474132 545232 632176 948264 1090464 1264352 1461907 1896528 2923814 3793056 4385721 5847628 8771442 11695256 12129877 17542884 23390512 24259754 35085768 36389631 46781024 48519508 70171536 72779262 97039016 140343072 145558524 194078032 291117048 388156064 448805449 582234096 897610898 1164468192 1346416347 1795221796 2692832694 3590443592 5385665388 7180887184 10771330776 14361774368 21542661552 43085323104