Search a number
-
+
214033513353345 = 345775496830107
BaseRepresentation
bin110000101010100110001111…
…100010001001000010000001
31001001211101220112211202110000
4300222212033202021002001
5211023211113404301340
62035113345540030213
763040260662540610
oct6052461742110201
91031741815752400
10214033513353345
116221a11549a374
1220009166692369
13925737343b50a
143abd3c4d73877
1519b278225ed30
hexc2a98f889081

214033513353345 has 40 divisors (see below), whose sum is σ = 438485589267264. Its totient is φ = 97843891817376.

The previous prime is 214033513353343. The next prime is 214033513353349. The reversal of 214033513353345 is 543353315330412.

It is a happy number.

214033513353345 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 33 + 51 + 33 + 533 + 4 + 5 = 666.

It is not a de Polignac number, because 214033513353345 - 21 = 214033513353343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 214033513353345.

It is not an unprimeable number, because it can be changed into a prime (214033513353343) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37748412219 + ... + 37748417888.

Almost surely, 2214033513353345 is an apocalyptic number.

It is an amenable number.

214033513353345 is an abundant number, since it is smaller than the sum of its proper divisors (224452075913919).

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

214033513353345 is an equidigital number, since it uses as much as digits as its factorization.

214033513353345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75496830131 (or 75496830122 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 45.

Adding to 214033513353345 its reverse (543353315330412), we get a palindrome (757386828683757).

The spelling of 214033513353345 in words is "two hundred fourteen trillion, thirty-three billion, five hundred thirteen million, three hundred fifty-three thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2835 75496830107 226490490321 377484150535 528477810749 679471470963 1132452451605 1585433432247 2038414412889 2642389053745 3397357354815 4756300296741 6115243238667 7927167161235 10192072064445 14268900890223 23781501483705 30576216193335 42806702670669 71344504451115 214033513353345