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20214868041 = 328325712
BaseRepresentation
bin10010110100111001…
…100110100001001001
31221011210211200210100
4102310321212201021
5312400001234131
613141522440013
71313641354224
oct226471464111
957153750710
1020214868041
118633847615
123b01b03009
131ba20694a4
14d9aa585bb
157d4a607e6
hex4b4e66849

20214868041 has 27 divisors (see below), whose sum is σ = 29607141837. Its totient is φ = 13290892920.

The previous prime is 20214867989. The next prime is 20214868043. The reversal of 20214868041 is 14086841202.

The square root of 20214868041 is 142179.

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

It is not a de Polignac number, because 20214868041 - 27 = 20214867913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20214867987 and 20214868005.

It is not an unprimeable number, because it can be changed into a prime (20214868043) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35402286 + ... + 35402856.

Almost surely, 220214868041 is an apocalyptic number.

20214868041 is the 142179-th square number.

20214868041 is the 71090-th centered octagonal number.

It is an amenable number.

20214868041 is a deficient number, since it is larger than the sum of its proper divisors (9392273796).

20214868041 is an frugal number, since it uses more digits than its factorization.

20214868041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

Multiplying 20214868041 by its sum of digits (36), we get a square (727735249476 = 8530742).

The spelling of 20214868041 in words is "twenty billion, two hundred fourteen million, eight hundred sixty-eight thousand, forty-one".

Divisors: 1 3 9 83 249 571 747 1713 5139 6889 20667 47393 62001 142179 326041 426537 978123 2934369 3933619 11800857 27061403 35402571 81184209 243552627 2246096449 6738289347 20214868041