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214541349744 = 24314173315361
BaseRepresentation
bin1100011111001110101…
…0010011001101110000
3202111202202101210022110
43013303222103031300
512003340041142434
6242320421405320
721333351245451
oct3076352231560
9674682353273
10214541349744
1182a93aa9517
12356b5569840
1317300b30137
14a553435128
1558a9d8c4e9
hex31f3a93370

214541349744 has 40 divisors (see below), whose sum is σ = 554272682512. Its totient is φ = 71508510720.

The previous prime is 214541349739. The next prime is 214541349761. The reversal of 214541349744 is 447943145412.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 214541349693 and 214541349702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 522624 + ... + 837984.

Almost surely, 2214541349744 is an apocalyptic number.

214541349744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214541349744 is an abundant number, since it is smaller than the sum of its proper divisors (339731332768).

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

214541349744 is a wasteful number, since it uses less digits than its factorization.

214541349744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329545 (or 329539 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The spelling of 214541349744 in words is "two hundred fourteen billion, five hundred forty-one million, three hundred forty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 14173 28346 42519 56692 85038 113384 170076 226768 315361 340152 630722 680304 946083 1261444 1892166 2522888 3784332 5045776 7568664 15137328 4469611453 8939222906 13408834359 17878445812 26817668718 35756891624 53635337436 71513783248 107270674872 214541349744