Search a number
-
+
43145540506240 = 275131705772923
BaseRepresentation
bin10011100111101100110101…
…00111011001001010000000
312122202200011220100001020121
421303312122213121022000
521123344031332144430
6231432442045550024
712042106500145414
oct1163663247311200
9178680156301217
1043145540506240
1112824a148a5267
124a09a8a275314
131b0c7b77b33c3
14a9238079cd44
154ec4ab7a3a7a
hex273d9a9d9280

43145540506240 has 128 divisors (see below), whose sum is σ = 103948325680320. Its totient is φ = 17123812392960.

The previous prime is 43145540506183. The next prime is 43145540506253. The reversal of 43145540506240 is 4260504554134.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 591622419 + ... + 591695341.

Almost surely, 243145540506240 is an apocalyptic number.

43145540506240 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 43145540506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51974162840160).

43145540506240 is an abundant number, since it is smaller than the sum of its proper divisors (60802785174080).

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

43145540506240 is a wasteful number, since it uses less digits than its factorization.

43145540506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80130 (or 80118 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 43.

The spelling of 43145540506240 in words is "forty-three trillion, one hundred forty-five billion, five hundred forty million, five hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 131 160 262 320 524 640 655 1048 1310 2096 2620 4192 5240 7057 8384 10480 14114 16768 20960 28228 35285 41920 56456 70570 72923 83840 112912 141140 145846 225824 282280 291692 364615 451648 564560 583384 729230 903296 924467 1129120 1166768 1458460 1848934 2258240 2333536 2916920 3697868 4516480 4622335 4667072 5833840 7395736 9244670 9334144 9552913 11667680 14791472 18489340 19105826 23335360 29582944 36978680 38211652 46670720 47764565 59165888 73957360 76423304 95529130 118331776 147914720 152846608 191058260 295829440 305693216 382116520 514617611 591658880 611386432 764233040 1029235222 1222772864 1528466080 2058470444 2573088055 3056932160 4116940888 5146176110 6113864320 8233881776 10292352220 16467763552 20584704440 32935527104 41169408880 65871054208 67414907041 82338817760 134829814082 164677635520 269659628164 329355271040 337074535205 539319256328 674149070410 1078638512656 1348298140820 2157277025312 2696596281640 4314554050624 5393192563280 8629108101248 10786385126560 21572770253120 43145540506240