Search a number
-
+
4455605111280 = 243523807174839
BaseRepresentation
bin100000011010110011011…
…0000101000100111110000
3120202221200210002101201220
41000311212300220213300
51041000034402030110
613250513212425040
7636623022362151
oct100654660504760
916687623071656
104455605111280
11146867aa23094
125bb639178180
1326421450058b
1411591c40b928
157ad7937c370
hex40d66c289f0

4455605111280 has 80 divisors (see below), whose sum is σ = 14412913943040. Its totient is φ = 1136502171904.

The previous prime is 4455605111267. The next prime is 4455605111299. The reversal of 4455605111280 is 821115065544.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×44556051112804 (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 403581900 + ... + 403592939.

It is an arithmetic number, because the mean of its divisors is an integer number (180161424288).

Almost surely, 24455605111280 is an apocalyptic number.

4455605111280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4455605111280 is an abundant number, since it is smaller than the sum of its proper divisors (9957308831760).

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

4455605111280 is a wasteful number, since it uses less digits than its factorization.

4455605111280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807174878 (or 807174872 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 42.

The spelling of 4455605111280 in words is "four trillion, four hundred fifty-five billion, six hundred five million, one hundred eleven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 807174839 1614349678 2421524517 3228699356 4035874195 4843049034 6457398712 8071748390 9686098068 12107622585 12914797424 16143496780 18565021297 19372196136 24215245170 32286993560 37130042594 38744392272 48430490340 55695063891 64573987120 74260085188 92825106485 96860980680 111390127782 148520170376 185650212970 193721961360 222780255564 278475319455 297040340752 371300425940 445560511128 556950638910 742600851880 891121022256 1113901277820 1485201703760 2227802555640 4455605111280