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212000434140 = 2235112313965773
BaseRepresentation
bin1100010101110000110…
…1011110011111011100
3202021012200012220101010
43011130031132133130
511433134102343030
6241220333015220
721213365646315
oct3053415363734
9667180186333
10212000434140
11819aa799a70
1235106624510
1316cb75a6491
14a391bb360c
1557abc7d6b0
hex315c35e7dc

212000434140 has 96 divisors (see below), whose sum is σ = 675720009216. Its totient is φ = 49159517440.

The previous prime is 212000434067. The next prime is 212000434157. The reversal of 212000434140 is 41434000212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6967707 + ... + 6998066.

It is an arithmetic number, because the mean of its divisors is an integer number (7038750096).

Almost surely, 2212000434140 is an apocalyptic number.

212000434140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212000434140 is an abundant number, since it is smaller than the sum of its proper divisors (463719575076).

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

212000434140 is a wasteful number, since it uses less digits than its factorization.

212000434140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13965819 (or 13965817 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 212000434140 its reverse (41434000212), we get a palindrome (253434434352).

The spelling of 212000434140 in words is "two hundred twelve billion, four hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 3036 3795 5060 7590 15180 13965773 27931546 41897319 55863092 69828865 83794638 139657730 153623503 167589276 209486595 279315460 307247006 321212779 418973190 460870509 614494012 642425558 768117515 837946380 921741018 963638337 1284851116 1536235030 1606063895 1843482036 1927276674 2304352545 3072470060 3212127790 3533340569 3854553348 4608705090 4818191685 6424255580 7066681138 9217410180 9636383370 10600021707 14133362276 17666702845 19272766740 21200043414 35333405690 42400086828 53000108535 70666811380 106000217070 212000434140