Search a number
-
+
214010030320 = 2453623738373
BaseRepresentation
bin1100011101001111111…
…1011110100011110000
3202110101201121222002021
43013103333132203300
512001243031432240
6242152001401224
721314240146312
oct3072377364360
9673351558067
10214010030320
11828410a0359
1235587639214
1317247a30648
14a502a497b2
1558783d954a
hex31d3fde8f0

214010030320 has 40 divisors (see below), whose sum is σ = 497711331936. Its totient is φ = 85580268288.

The previous prime is 214010030261. The next prime is 214010030341. The reversal of 214010030320 is 23030010412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 214010030294 and 214010030303.

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, 79347 + ... + 659026.

Almost surely, 2214010030320 is an apocalyptic number.

214010030320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214010030320 is an abundant number, since it is smaller than the sum of its proper divisors (283701301616).

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

214010030320 is a wasteful number, since it uses less digits than its factorization.

214010030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742009 (or 742003 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 214010030320 its reverse (23030010412), we get a palindrome (237040040732).

The spelling of 214010030320 in words is "two hundred fourteen billion, ten million, thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3623 7246 14492 18115 28984 36230 57968 72460 144920 289840 738373 1476746 2953492 3691865 5906984 7383730 11813968 14767460 29534920 59069840 2675125379 5350250758 10700501516 13375626895 21401003032 26751253790 42802006064 53502507580 107005015160 214010030320