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214534387440 = 24325297964427
BaseRepresentation
bin1100011111001100111…
…1101111011011110000
3202111202021022001211100
43013303033233123300
512003331300344230
6242320012244400
721333235130262
oct3076317573360
9674667261740
10214534387440
1182a9008364a
12356b3170700
13172cc563129
14a552541b32
1558a9464660
hex31f33ef6f0

214534387440 has 60 divisors (see below), whose sum is σ = 720477986904. Its totient is φ = 57209169792.

The previous prime is 214534387427. The next prime is 214534387447. The reversal of 214534387440 is 44783435412.

214534387440 is a `hidden beast` number, since 2 + 1 + 4 + 534 + 3 + 8 + 74 + 40 = 666.

214534387440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214534387447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148981494 + ... + 148982933.

Almost surely, 2214534387440 is an apocalyptic number.

214534387440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214534387440 is an abundant number, since it is smaller than the sum of its proper divisors (505943599464).

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

214534387440 is a wasteful number, since it uses less digits than its factorization.

214534387440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297964446 (or 297964437 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 214534387440 in words is "two hundred fourteen billion, five hundred thirty-four million, three hundred eighty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 297964427 595928854 893893281 1191857708 1489822135 1787786562 2383715416 2681679843 2979644270 3575573124 4469466405 4767430832 5363359686 5959288540 7151146248 8938932810 10726719372 11918577080 13408399215 14302292496 17877865620 21453438744 23837154160 26816798430 35755731240 42906877488 53633596860 71511462480 107267193720 214534387440