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214399733706 = 233109251145121
BaseRepresentation
bin1100011110101100111…
…0000100111111001010
3202111101212220221122000
43013223032010333022
512003042312434311
6242254402211430
721330011444634
oct3075316047712
9674355827560
10214399733706
1182a21073274
1235676053b76
13172aa6a8372
14a53c6cda54
15589c717056
hex31eb384fca

214399733706 has 64 divisors (see below), whose sum is σ = 482733820800. Its totient is φ = 70528320000.

The previous prime is 214399733699. The next prime is 214399733707. The reversal of 214399733706 is 607337993412.

214399733706 is a `hidden beast` number, since 21 + 439 + 97 + 33 + 70 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (214399733707) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1404826 + ... + 1549946.

It is an arithmetic number, because the mean of its divisors is an integer number (7542715950).

Almost surely, 2214399733706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214399733706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241366910400).

214399733706 is an abundant number, since it is smaller than the sum of its proper divisors (268334087094).

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

214399733706 is a wasteful number, since it uses less digits than its factorization.

214399733706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145492 (or 145486 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 214399733706 in words is "two hundred fourteen billion, three hundred ninety-nine million, seven hundred thirty-three thousand, seven hundred six".

Divisors: 1 2 3 6 9 18 27 54 109 218 251 327 502 654 753 981 1506 1962 2259 2943 4518 5886 6777 13554 27359 54718 82077 145121 164154 246231 290242 435363 492462 738693 870726 1306089 1477386 2612178 3918267 7836534 15818189 31636378 36425371 47454567 72850742 94909134 109276113 142363701 218552226 284727402 327828339 427091103 655656678 854182206 983485017 1966970034 3970365439 7940730878 11911096317 23822192634 35733288951 71466577902 107199866853 214399733706