Search a number
-
+
422414214400300 = 225219967229910311
BaseRepresentation
bin110000000001011101111100…
…1001100101000100100101100
32001101122101220220001012020211
41200002323321030220210230
5420331313302341302200
64054222224450152204
7154655264005533523
oct14002737114504454
92041571826035224
10422414214400300
11112659953793181
123b462855882664
131519164956ca25
147644d582814ba
1533c7e6a71eaba
hex1802ef932892c

422414214400300 has 72 divisors (see below), whose sum is σ = 965880809949440. Its totient is φ = 159907218811200.

The previous prime is 422414214400273. The next prime is 422414214400333. The reversal of 422414214400300 is 3004412414224.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113117856 + ... + 116792455.

Almost surely, 2422414214400300 is an apocalyptic number.

It is an amenable number.

422414214400300 is an abundant number, since it is smaller than the sum of its proper divisors (543466595549140).

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

422414214400300 is a wasteful number, since it uses less digits than its factorization.

422414214400300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229911311 (or 229911304 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 422414214400300 its reverse (3004412414224), we get a palindrome (425418626814524).

The spelling of 422414214400300 in words is "four hundred twenty-two trillion, four hundred fourteen billion, two hundred fourteen million, four hundred thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 967 1900 1934 3868 4835 9670 18373 19340 24175 36746 48350 73492 91865 96700 183730 367460 459325 918650 1837300 229910311 459820622 919641244 1149551555 2299103110 4368295909 4598206220 5747757775 8736591818 11495515550 17473183636 21841479545 22991031100 43682959090 87365918180 109207397725 218414795450 222323270737 436829590900 444646541474 889293082948 1111616353685 2223232707370 4224142144003 4446465414740 5558081768425 8448284288006 11116163536850 16896568576012 21120710720015 22232327073700 42241421440030 84482842880060 105603553600075 211207107200150 422414214400300