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214036217318 = 2711318796113
BaseRepresentation
bin1100011101010110001…
…1010111110111100110
3202110110112220101220002
43013111203113313212
512001321232423233
6242154334541302
721315005554250
oct3072543276746
9673415811802
10214036217318
1182854957000
1235594367832
131725029bc01
14a506304cd0
15587a85d6e8
hex31d58d7de6

214036217318 has 64 divisors (see below), whose sum is σ = 403864427520. Its totient is φ = 83332719360.

The previous prime is 214036217303. The next prime is 214036217363. The reversal of 214036217318 is 813712630412.

214036217318 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2140362173182 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35010230 + ... + 35016342.

It is an arithmetic number, because the mean of its divisors is an integer number (6310381680).

Almost surely, 2214036217318 is an apocalyptic number.

214036217318 is a deficient number, since it is larger than the sum of its proper divisors (189828210202).

214036217318 is a wasteful number, since it uses less digits than its factorization.

214036217318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8034 (or 8012 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 214036217318 in words is "two hundred fourteen billion, thirty-six million, two hundred seventeen thousand, three hundred eighteen".

Divisors: 1 2 7 11 14 22 77 121 154 242 847 1331 1694 1879 2662 3758 6113 9317 12226 13153 18634 20669 26306 41338 42791 67243 85582 134486 144683 227359 289366 454718 470701 739673 941402 1479346 1591513 2500949 3183026 5001898 5177711 8136403 10355422 11486327 16272806 17506643 22972654 35013286 56954821 80404289 113909642 126349597 160808578 252699194 884447179 1389845567 1768894358 2779691134 9728918969 15288301237 19457837938 30576602474 107018108659 214036217318