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214988140864 = 2677152112973
BaseRepresentation
bin1100100000111001001…
…0101011000101000000
3202112220220010010111201
43020032102223011000
512010243431001424
6242433021550544
721350415021460
oct3101622530500
9675826103451
10214988140864
11831a3223282
12357bb115454
1317372575393
14a5968d9ba0
1558d41e4d44
hex320e4ab140

214988140864 has 112 divisors (see below), whose sum is σ = 495416653056. Its totient is φ = 90658713600.

The previous prime is 214988140823. The next prime is 214988140891. The reversal of 214988140864 is 468041889412.

214988140864 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 (112).

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, 16565482 + ... + 16578454.

Almost surely, 2214988140864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214988140864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247708326528).

214988140864 is an abundant number, since it is smaller than the sum of its proper divisors (280428512192).

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

214988140864 is a wasteful number, since it uses less digits than its factorization.

214988140864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13584 (or 13574 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 55.

The spelling of 214988140864 in words is "two hundred fourteen billion, nine hundred eighty-eight million, one hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 142 224 284 448 497 521 568 994 1042 1136 1988 2084 2272 3647 3976 4168 4544 7294 7952 8336 12973 14588 15904 16672 25946 29176 31808 33344 36991 51892 58352 73982 90811 103784 116704 147964 181622 207568 233408 258937 295928 363244 415136 517874 591856 726488 830272 921083 1035748 1183712 1452976 1842166 2071496 2367424 2905952 3684332 4142992 5811904 6447581 6758933 7368664 8285984 12895162 13517866 14737328 16571968 25790324 27035732 29474656 47312531 51580648 54071464 58949312 94625062 103161296 108142928 189250124 206322592 216285856 378500248 412645184 432571712 479884243 757000496 959768486 1514000992 1919536972 3028001984 3359189701 3839073944 6718379402 7678147888 13436758804 15356295776 26873517608 30712591552 53747035216 107494070432 214988140864