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214016430056 = 2311131711004547
BaseRepresentation
bin1100011101010001011…
…1111000111111101000
3202110102011200002212112
43013110113320333220
512001301201230211
6242152350501452
721314345432402
oct3072427707750
9673364602775
10214016430056
11828447715a0
1235589804888
1317249161580
14a503833b72
155878c5088b
hex31d45f8fe8

214016430056 has 64 divisors (see below), whose sum is σ = 499166297280. Its totient is φ = 84514913280.

The previous prime is 214016430037. The next prime is 214016430077. The reversal of 214016430056 is 650034610412.

214016430056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5482826 + ... + 5521721.

It is an arithmetic number, because the mean of its divisors is an integer number (7799473395).

Almost surely, 2214016430056 is an apocalyptic number.

214016430056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

214016430056 is an abundant number, since it is smaller than the sum of its proper divisors (285149867224).

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

214016430056 is a wasteful number, since it uses less digits than its factorization.

214016430056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11004594 (or 11004590 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 214016430056 in words is "two hundred fourteen billion, sixteen million, four hundred thirty thousand, fifty-six".

Divisors: 1 2 4 8 11 13 17 22 26 34 44 52 68 88 104 136 143 187 221 286 374 442 572 748 884 1144 1496 1768 2431 4862 9724 19448 11004547 22009094 44018188 88036376 121050017 143059111 187077299 242100034 286118222 374154598 484200068 572236444 748309196 968400136 1144472888 1496618392 1573650221 2057850289 2432004887 3147300442 4115700578 4864009774 6294600884 8231401156 9728019548 12589201768 16462802312 19456039096 26752053757 53504107514 107008215028 214016430056