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434213441312 = 25717711606009
BaseRepresentation
bin1100101000110010010…
…00110100111100100000
31112111210002012021020212
412110121020310330200
524103232120110222
6531250324553252
743241133232220
oct6243110647440
91474702167225
10434213441312
11158170193232
12701a1252828
1331c3b907181
1417032042080
15b4653a96e2
hex6519234f20

434213441312 has 96 divisors (see below), whose sum is σ = 1049020035840. Its totient is φ = 172677980160.

The previous prime is 434213441269. The next prime is 434213441317. The reversal of 434213441312 is 213144312434.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (434213441317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532637 + ... + 1073372.

It is an arithmetic number, because the mean of its divisors is an integer number (10927292040).

Almost surely, 2434213441312 is an apocalyptic number.

It is an amenable number.

434213441312 is an abundant number, since it is smaller than the sum of its proper divisors (614806594528).

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

434213441312 is a wasteful number, since it uses less digits than its factorization.

434213441312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606114 (or 1606106 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

Adding to 434213441312 its reverse (213144312434), we get a palindrome (647357753746).

The spelling of 434213441312 in words is "four hundred thirty-four billion, two hundred thirteen million, four hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 71 112 119 136 142 224 238 272 284 476 497 544 568 952 994 1136 1207 1904 1988 2272 2414 3808 3976 4828 7952 8449 9656 15904 16898 19312 33796 38624 67592 135184 270368 1606009 3212018 6424036 11242063 12848072 22484126 25696144 27302153 44968252 51392288 54604306 89936504 109208612 114026639 179873008 191115071 218417224 228053278 359746016 382230142 436834448 456106556 764460284 798186473 873668896 912213112 1528920568 1596372946 1824426224 1938452863 3057841136 3192745892 3648852448 3876905726 6115682272 6385491784 7753811452 12770983568 13569170041 15507622904 25541967136 27138340082 31015245808 54276680164 62030491616 108553360328 217106720656 434213441312