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43253189440 = 265374189101
BaseRepresentation
bin101000010010000101…
…110100101101000000
311010122101111200110021
4220102011310231000
51202040304030230
631511545543224
73060566021056
oct502205645500
9133571450407
1043253189440
111738633045a
1284714a4b14
134104055126
1421446801d6
1511d23dec7a
hexa12174b40

43253189440 has 112 divisors (see below), whose sum is σ = 108361575504. Its totient is φ = 16422912000.

The previous prime is 43253189417. The next prime is 43253189479. The reversal of 43253189440 is 4498135234.

It can be written as a sum of positive squares in 8 ways, for example, as 8002375936 + 35250813504 = 89456^2 + 187752^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 440890 + ... + 529990.

It is an arithmetic number, because the mean of its divisors is an integer number (967514067).

Almost surely, 243253189440 is an apocalyptic number.

43253189440 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 43253189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54180787752).

43253189440 is an abundant number, since it is smaller than the sum of its proper divisors (65108386064).

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

43253189440 is a wasteful number, since it uses less digits than its factorization.

43253189440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89196 (or 89186 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 43253189440 in words is "forty-three billion, two hundred fifty-three million, one hundred eighty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 41 64 74 80 82 148 160 164 185 205 296 320 328 370 410 592 656 740 820 1184 1312 1480 1517 1640 2368 2624 2960 3034 3280 5920 6068 6560 7585 11840 12136 13120 15170 24272 30340 48544 60680 89101 97088 121360 178202 242720 356404 445505 485440 712808 891010 1425616 1782020 2851232 3296737 3564040 3653141 5702464 6593474 7128080 7306282 13186948 14256160 14612564 16483685 18265705 26373896 28512320 29225128 32967370 36531410 52747792 58450256 65934740 73062820 105495584 116900512 131869480 135166217 146125640 210991168 233801024 263738960 270332434 292251280 527477920 540664868 584502560 675831085 1054955840 1081329736 1169005120 1351662170 2162659472 2703324340 4325318944 5406648680 8650637888 10813297360 21626594720 43253189440