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21430441332 = 223217167449467
BaseRepresentation
bin10011111101010110…
…101001010101110100
32001022112011012212100
4103331112221111310
5322342143110312
613502304422100
71356031513536
oct237526512564
961275135770
1021430441332
1190a7a1a843
1241a1017930
132036b54221
14107427d856
158566255dc
hex4fd5a9574

21430441332 has 144 divisors (see below), whose sum is σ = 57953750400. Its totient is φ = 6653853696.

The previous prime is 21430441289. The next prime is 21430441363. The reversal of 21430441332 is 23314403412.

21430441332 is a `hidden beast` number, since 21 + 4 + 304 + 4 + 1 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21430441296 and 21430441305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45889363 + ... + 45889829.

It is an arithmetic number, because the mean of its divisors is an integer number (402456600).

Almost surely, 221430441332 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 21430441332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28976875200).

21430441332 is an abundant number, since it is smaller than the sum of its proper divisors (36523309068).

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

21430441332 is a wasteful number, since it uses less digits than its factorization.

21430441332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1105 counting only the distinct ones).

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

Adding to 21430441332 its reverse (23314403412), we get a palindrome (44744844744).

The spelling of 21430441332 in words is "twenty-one billion, four hundred thirty million, four hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 167 204 306 334 449 467 501 612 668 898 934 1002 1347 1401 1503 1796 1868 2004 2694 2802 2839 3006 4041 4203 5388 5604 5678 6012 7633 7939 8082 8406 8517 11356 15266 15878 16164 16812 17034 22899 23817 25551 30532 31756 34068 45798 47634 51102 68697 71451 74983 77989 91596 95268 102204 137394 142902 149966 155978 209683 224949 233967 274788 285804 299932 311956 419366 449898 467934 629049 674847 701901 838732 899796 935868 1258098 1274711 1325813 1349694 1403802 1887147 2516196 2549422 2651626 2699388 2807604 3564611 3774294 3824133 3977439 5098844 5303252 7129222 7548588 7648266 7954878 10693833 11472399 11932317 14258444 15296532 15909756 21387666 22944798 23864634 32081499 35017061 42775332 45889596 47729268 64162998 70034122 105051183 128325996 140068244 210102366 315153549 420204732 595290037 630307098 1190580074 1260614196 1785870111 2381160148 3571740222 5357610333 7143480444 10715220666 21430441332