Search a number
-
+
234406336161216 = 2631577776218689
BaseRepresentation
bin110101010011000011111010…
…011001100110010111000000
31010201222000201121012020011010
4311103003322121212113000
5221211003134024124331
62150312441220520520
7100242204346265322
oct6523037231462700
91121860647166133
10234406336161216
116876419489103a
1222359627850140
13a0a456574cbbb
1441c5481bc9612
151c176a7b07e46
hexd530fa6665c0

234406336161216 has 56 divisors (see below), whose sum is σ = 624150416934160. Its totient is φ = 77637767380992.

The previous prime is 234406336161191. The next prime is 234406336161241. The reversal of 234406336161216 is 612161633604432.

It is an interprime number because it is at equal distance from previous prime (234406336161191) and next prime (234406336161241).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3888079201 + ... + 3888139488.

Almost surely, 2234406336161216 is an apocalyptic number.

It is an amenable number.

234406336161216 is an abundant number, since it is smaller than the sum of its proper divisors (389744080772944).

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

234406336161216 is a wasteful number, since it uses less digits than its factorization.

234406336161216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7776218861 (or 7776218851 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 48.

Adding to 234406336161216 its reverse (612161633604432), we get a palindrome (846567969765648).

The spelling of 234406336161216 in words is "two hundred thirty-four trillion, four hundred six billion, three hundred thirty-six million, one hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 157 192 314 471 628 942 1256 1884 2512 3768 5024 7536 10048 15072 30144 7776218689 15552437378 23328656067 31104874756 46657312134 62209749512 93314624268 124419499024 186629248536 248838998048 373258497072 497677996096 746516994144 1220866334173 1493033988288 2441732668346 3662599002519 4883465336692 7325198005038 9766930673384 14650396010076 19533861346768 29300792020152 39067722693536 58601584040304 78135445387072 117203168080608 234406336161216