Search a number
-
+
214146011023431 = 3533893634395267
BaseRepresentation
bin110000101100001111000000…
…111010101100100001000111
31001002020011021201001112001120
4300230033000322230201013
5211032032012310222211
62035241152551325023
763051352533134214
oct6054170072544107
91032204251045046
10214146011023431
11622628a44a1a33
1220026b21980773
139264b612301c6
143ac4a17b5cb0b
1519b5668772d06
hexc2c3c0eac847

214146011023431 has 32 divisors (see below), whose sum is σ = 291674276974080. Its totient is φ = 139704958134144.

The previous prime is 214146011023423. The next prime is 214146011023481. The reversal of 214146011023431 is 134320110641412.

It is not a de Polignac number, because 214146011023431 - 23 = 214146011023423 is a prime.

It is a super-2 number, since 2×2141460110234312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214146011023392 and 214146011023401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214146011023481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2247803260 + ... + 2247898526.

It is an arithmetic number, because the mean of its divisors is an integer number (9114821155440).

Almost surely, 2214146011023431 is an apocalyptic number.

214146011023431 is a deficient number, since it is larger than the sum of its proper divisors (77528265950649).

214146011023431 is a wasteful number, since it uses less digits than its factorization.

214146011023431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132055.

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 214146011023431 its reverse (134320110641412), we get a palindrome (348466121664843).

The spelling of 214146011023431 in words is "two hundred fourteen trillion, one hundred forty-six billion, eleven million, twenty-three thousand, four hundred thirty-one".

Divisors: 1 3 53 159 389 1167 20617 36343 61851 95267 109029 285801 1926179 5049151 5778537 14137427 15147453 37058863 42412281 111176589 749283631 1964119739 2247850893 3462288581 5892359217 10386865743 183501294793 550503884379 1346830258009 4040490774027 71382003674477 214146011023431