Search a number
-
+
214314433240 = 23513140899701
BaseRepresentation
bin1100011110011000100…
…0101011101011011000
3202111011221102020101111
43013212020223223120
512002403443330430
6242242114030104
721324624424345
oct3074610535330
9674157366344
10214314433240
1182987a01816
1235651578334
1317295b1050b
14a5312477cc
155894eb7c2a
hex31e622bad8

214314433240 has 32 divisors (see below), whose sum is σ = 485888459760. Its totient is φ = 85071376000.

The previous prime is 214314433231. The next prime is 214314433253. The reversal of 214314433240 is 42334413412.

214314433240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20444611 + ... + 20455090.

Almost surely, 2214314433240 is an apocalyptic number.

214314433240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214314433240 is an abundant number, since it is smaller than the sum of its proper divisors (271574026520).

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

214314433240 is a wasteful number, since it uses less digits than its factorization.

214314433240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40899843 (or 40899839 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 214314433240 its reverse (42334413412), we get a palindrome (256648846652).

The spelling of 214314433240 in words is "two hundred fourteen billion, three hundred fourteen million, four hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 131 262 524 655 1048 1310 2620 5240 40899701 81799402 163598804 204498505 327197608 408997010 817994020 1635988040 5357860831 10715721662 21431443324 26789304155 42862886648 53578608310 107157216620 214314433240