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211242314304 = 26327232277889
BaseRepresentation
bin1100010010111100000…
…1011110101001000000
3202012020211200102110200
43010233001132221000
511430111013024204
6241013211525200
721155532021360
oct3045701365100
9665224612420
10211242314304
118165086334a
1234b34759800
1316bc64c7b68
14a31d22a9a0
15576542a539
hex312f05ea40

211242314304 has 168 divisors, whose sum is σ = 722072906880. Its totient is φ = 57730793472.

The previous prime is 211242314291. The next prime is 211242314333. The reversal of 211242314304 is 403413242112.

211242314304 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 42 + 314 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1046209 + ... + 1231680.

Almost surely, 2211242314304 is an apocalyptic number.

211242314304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211242314304 is an abundant number, since it is smaller than the sum of its proper divisors (510830592576).

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

211242314304 is a wasteful number, since it uses less digits than its factorization.

211242314304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277937 (or 2277924 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 211242314304 its reverse (403413242112), we get a palindrome (614655556416).

The spelling of 211242314304 in words is "two hundred eleven billion, two hundred forty-two million, three hundred fourteen thousand, three hundred four".