Search a number
-
+
214124433240 = 23351784370277
BaseRepresentation
bin1100011101101011001…
…1111000111101011000
3202110200200220020101110
43013122303320331120
512002011323330430
6242211205420320
721320126436444
oct3073263707530
9673620806343
10214124433240
118289a729a23
12355b9a0a6a0
1317265647a93
14a513d09824
1558834867b0
hex31dacf8f58

214124433240 has 32 divisors (see below), whose sum is σ = 642373300080. Its totient is φ = 57099848832.

The previous prime is 214124433167. The next prime is 214124433253. The reversal of 214124433240 is 42334421412.

It is a super-3 number, since 3×2141244332403 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 214124433198 and 214124433207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 892185019 + ... + 892185258.

Almost surely, 2214124433240 is an apocalyptic number.

214124433240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214124433240 is an abundant number, since it is smaller than the sum of its proper divisors (428248866840).

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

214124433240 is a wasteful number, since it uses less digits than its factorization.

214124433240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784370291 (or 1784370287 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 214124433240 its reverse (42334421412), we get a palindrome (256458854652).

The spelling of 214124433240 in words is "two hundred fourteen billion, one hundred twenty-four million, four hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1784370277 3568740554 5353110831 7137481108 8921851385 10706221662 14274962216 17843702770 21412443324 26765554155 35687405540 42824886648 53531108310 71374811080 107062216620 214124433240