Search a number
-
+
420313545204300 = 2233521114151971219
BaseRepresentation
bin101111110010001011101111…
…1100011100110001001001100
32001010012120201122100022201000
41133210113133203212021030
5420042404120033014200
64045533213235020300
7154350436322143266
oct13744273743461114
92033176648308630
10420313545204300
11111a19a78797450
123b1836b7a3a690
131506b521983777
1475b13d9934b36
15338d4be8bc300
hex17e45df8e624c

420313545204300 has 144 divisors (see below), whose sum is σ = 1474069322275200. Its totient is φ = 101894192769600.

The previous prime is 420313545204167. The next prime is 420313545204391. The reversal of 420313545204300 is 3402545313024.

420313545204300 is a `hidden beast` number, since 4 + 20 + 31 + 3 + 54 + 520 + 4 + 30 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7075955910 + ... + 7076015309.

It is an arithmetic number, because the mean of its divisors is an integer number (10236592515800).

Almost surely, 2420313545204300 is an apocalyptic number.

It is an amenable number.

420313545204300 is an abundant number, since it is smaller than the sum of its proper divisors (1053755777070900).

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

420313545204300 is a wasteful number, since it uses less digits than its factorization.

420313545204300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14151971253 (or 14151971240 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 420313545204300 in words is "four hundred twenty trillion, three hundred thirteen billion, five hundred forty-five million, two hundred four thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 27 30 33 36 44 45 50 54 55 60 66 75 90 99 100 108 110 132 135 150 165 180 198 220 225 270 275 297 300 330 396 450 495 540 550 594 660 675 825 900 990 1100 1188 1350 1485 1650 1980 2475 2700 2970 3300 4950 5940 7425 9900 14850 29700 14151971219 28303942438 42455913657 56607884876 70759856095 84911827314 127367740971 141519712190 155671683409 169823654628 212279568285 254735481942 283039424380 311343366818 353799280475 382103222913 424559136570 467015050227 509470963884 622686733636 636838704855 707598560950 764206445826 778358417045 849118273140 934030100454 1061397841425 1273677409710 1401045150681 1415197121900 1528412891652 1556716834090 1868060200908 1910516114565 2122795682850 2335075251135 2547354819420 2802090301362 3113433668180 3184193524275 3821032229130 3891792085225 4203135452043 4245591365700 4670150502270 5604180602724 6368387048550 7005225753405 7642064458260 7783584170450 8406270904086 9340301004540 9552580572825 11675376255675 12736774097100 14010451506810 15567168340900 16812541808172 19105161145650 21015677260215 23350752511350 28020903013620 35026128767025 38210322291300 42031354520430 46701505022700 70052257534050 84062709040860 105078386301075 140104515068100 210156772602150 420313545204300