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214123033044 = 223217769454973
BaseRepresentation
bin1100011101101010111…
…0100011000111010100
3202110200121021002200100
43013122232203013110
512002010444024134
6242211115414100
721320111515314
oct3073256430724
9673617232610
10214123033044
1182899962a38
12355b9454330
131726527766b
14a513a63444
1558832ab999
hex31daba31d4

214123033044 has 72 divisors (see below), whose sum is σ = 573840507240. Its totient is φ = 67088351232.

The previous prime is 214123032983. The next prime is 214123033049. The reversal of 214123033044 is 440330321412.

214123033044 is a `hidden beast` number, since 21 + 41 + 230 + 330 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17785423044 + 196337610000 = 133362^2 + 443100^2 .

It is a junction number, because it is equal to n+sod(n) for n = 214123032999 and 214123033017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214123033049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243142 + ... + 698114.

It is an arithmetic number, because the mean of its divisors is an integer number (7970007045).

Almost surely, 2214123033044 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 214123033044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286920253620).

214123033044 is an abundant number, since it is smaller than the sum of its proper divisors (359717474196).

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

214123033044 is a wasteful number, since it uses less digits than its factorization.

214123033044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455769 (or 455764 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 214123033044 its reverse (440330321412), we get a palindrome (654453354456).

The spelling of 214123033044 in words is "two hundred fourteen billion, one hundred twenty-three million, thirty-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 769 1538 2307 3076 4614 6921 9228 13073 13842 26146 27684 39219 52292 78438 117657 156876 235314 454973 470628 909946 1364919 1819892 2729838 4094757 5459676 7734541 8189514 15469082 16379028 23203623 30938164 46407246 69610869 92814492 139221738 278443476 349874237 699748474 1049622711 1399496948 2099245422 3148868133 4198490844 5947862029 6297736266 11895724058 12595472532 17843586087 23791448116 35687172174 53530758261 71374344348 107061516522 214123033044