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214134212440 = 23529315954789
BaseRepresentation
bin1100011101101101100…
…1001100011101011000
3202110201101022001221001
43013123121030131120
512002021324244230
6242212155154344
721320305526311
oct3073331143530
9673641261831
10214134212440
11828a51a9205
12356011459b4
131726768cca5
14a515333608
1558842690ca
hex31db64c758

214134212440 has 64 divisors (see below), whose sum is σ = 514493856000. Its totient is φ = 80032350720.

The previous prime is 214134212437. The next prime is 214134212477. The reversal of 214134212440 is 44212431412.

It is a junction number, because it is equal to n+sod(n) for n = 214134212399 and 214134212408.

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, 2941435 + ... + 3013354.

It is an arithmetic number, because the mean of its divisors is an integer number (8038966500).

Almost surely, 2214134212440 is an apocalyptic number.

214134212440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214134212440 is an abundant number, since it is smaller than the sum of its proper divisors (300359643560).

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

214134212440 is a wasteful number, since it uses less digits than its factorization.

214134212440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5954860 (or 5954856 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 214134212440 its reverse (44212431412), we get a palindrome (258346643852).

The spelling of 214134212440 in words is "two hundred fourteen billion, one hundred thirty-four million, two hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 31 40 58 62 116 124 145 155 232 248 290 310 580 620 899 1160 1240 1798 3596 4495 7192 8990 17980 35960 5954789 11909578 23819156 29773945 47638312 59547890 119095780 172688881 184598459 238191560 345377762 369196918 690755524 738393836 863444405 922992295 1381511048 1476787672 1726888810 1845984590 3453777620 3691969180 5353355311 6907555240 7383938360 10706710622 21413421244 26766776555 42826842488 53533553110 107067106220 214134212440