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214714056120 = 23357324510737
BaseRepresentation
bin1100011111110111110…
…1000111110110111000
3202112012210101011220220
43013331331013312320
512004213244243440
6242345511220040
721340546235544
oct3077575076670
9675183334826
10214714056120
118307253a363
1235743377620
131732a84c265
14a56c350a24
1558ba1048d0
hex31fdf47db8

214714056120 has 64 divisors (see below), whose sum is σ = 652966060320. Its totient is φ = 56472735744.

The previous prime is 214714056113. The next prime is 214714056133. The reversal of 214714056120 is 21650417412.

It is a super-2 number, since 2×2147140561202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 12246609 + ... + 12264128.

Almost surely, 2214714056120 is an apocalyptic number.

214714056120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214714056120 is an abundant number, since it is smaller than the sum of its proper divisors (438252004200).

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

214714056120 is a wasteful number, since it uses less digits than its factorization.

214714056120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24510824 (or 24510820 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 214714056120 in words is "two hundred fourteen billion, seven hundred fourteen million, fifty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 24510737 49021474 73532211 98042948 122553685 147064422 196085896 245107370 294128844 367661055 490214740 588257688 735322110 980429480 1470644220 1789283801 2941288440 3578567602 5367851403 7157135204 8946419005 10735702806 14314270408 17892838010 21471405612 26839257015 35785676020 42942811224 53678514030 71571352040 107357028060 214714056120