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214044441400 = 23523134523297
BaseRepresentation
bin1100011101011000001…
…0101111101100111000
3202110111010101020012201
43013112002233230320
512001330334111100
6242155231115544
721315135506206
oct3072602575470
9673433336181
10214044441400
1182859563969
1235597072bb4
1317251bbb32a
14a507446076
15587b43536a
hex31d60afb38

214044441400 has 48 divisors (see below), whose sum is σ = 513706674240. Its totient is φ = 82855910400.

The previous prime is 214044441349. The next prime is 214044441433. The reversal of 214044441400 is 4144440412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17255449 + ... + 17267848.

It is an arithmetic number, because the mean of its divisors is an integer number (10702222380).

Almost surely, 2214044441400 is an apocalyptic number.

214044441400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214044441400 is an abundant number, since it is smaller than the sum of its proper divisors (299662232840).

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

214044441400 is a wasteful number, since it uses less digits than its factorization.

214044441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34523344 (or 34523335 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 214044441400 its reverse (4144440412), we get a palindrome (218188881812).

The spelling of 214044441400 in words is "two hundred fourteen billion, forty-four million, four hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 3100 6200 34523297 69046594 138093188 172616485 276186376 345232970 690465940 863082425 1070222207 1380931880 1726164850 2140444414 3452329700 4280888828 5351111035 6904659400 8561777656 10702222070 21404444140 26755555175 42808888280 53511110350 107022220700 214044441400