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214041781382 = 211213611935779
BaseRepresentation
bin1100011101010111100…
…0100110010010000110
3202110110221101002100112
43013111320212102012
512001324144001012
6242155054113022
721315104060102
oct3072570462206
9673427332315
10214041781382
1182858007400
12355961ab772
1317251499660
14a506d52902
15587b0ac122
hex31d5e26486

214041781382 has 96 divisors (see below), whose sum is σ = 388348998240. Its totient is φ = 87862579200.

The previous prime is 214041781379. The next prime is 214041781399. The reversal of 214041781382 is 283187140412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37034969 + ... + 37040747.

It is an arithmetic number, because the mean of its divisors is an integer number (4045302065).

Almost surely, 2214041781382 is an apocalyptic number.

214041781382 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

214041781382 is a deficient number, since it is larger than the sum of its proper divisors (174307216858).

214041781382 is a wasteful number, since it uses less digits than its factorization.

214041781382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6070 (or 6059 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The spelling of 214041781382 in words is "two hundred fourteen billion, forty-one million, seven hundred eighty-one thousand, three hundred eighty-two".

Divisors: 1 2 11 13 22 26 61 121 122 143 193 242 286 386 671 793 1342 1573 1586 2123 2509 3146 4246 5018 5779 7381 8723 11558 11773 14762 17446 23353 23546 27599 46706 55198 63569 75127 95953 127138 129503 150254 153049 191906 259006 303589 306098 352519 607178 699259 705038 826397 1115347 1398518 1424533 1652794 1683539 2230694 2849066 3367078 3877709 4582747 7755418 9090367 9165494 12268817 14499511 18180734 18518929 24537634 28999022 37037858 42654799 50410217 68036167 85309598 100820434 134956987 136072334 159494621 269913974 318989242 554512387 748397837 884470171 1109024774 1496795674 1754440831 1768940342 3508881662 8232376207 9729171881 16464752414 19458343762 107020890691 214041781382