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214358851718001 = 3248803332
BaseRepresentation
bin110000101111010101001111…
…001101100000101101110001
31001002222111122221101002001100
4300233111033031200231301
5211044023412014434001
62035523032542155013
763102626114161434
oct6057251715405561
91032874587332040
10214358851718001
1162335095520001
1220060221882a69
13927bc509147b3
143ad104937b81b
1519bae7417c586
hexc2f54f360b71

214358851718001 has 9 divisors (see below), whose sum is σ = 309629515925899. Its totient is φ = 142905871863336.

The previous prime is 214358851717903. The next prime is 214358851718027. The reversal of 214358851718001 is 100817158853412.

The square root of 214358851718001 is 14640999.

It is a perfect power (a square), and thus also a powerful number.

214358851718001 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 588 + 51 + 7 + 1 + 8 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 187431843830625 + 26927007887376 = 13690575^2 + 5189124^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 214358851718001 - 219 = 214358851193713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214358851718041) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41482831 + ... + 46363163.

Almost surely, 2214358851718001 is an apocalyptic number.

214358851718001 is the 14640999-th square number.

214358851718001 is the 7320500-th centered octagonal number.

It is an amenable number.

214358851718001 is a deficient number, since it is larger than the sum of its proper divisors (95270664207898).

214358851718001 is an frugal number, since it uses more digits than its factorization.

214358851718001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9760672 (or 4880336 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 54.

The spelling of 214358851718001 in words is "two hundred fourteen trillion, three hundred fifty-eight billion, eight hundred fifty-one million, seven hundred eighteen thousand, one".

Divisors: 1 3 9 4880333 14640999 43922997 23817650190889 71452950572667 214358851718001