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4304401212104 = 2372192254911933
BaseRepresentation
bin111110101000110010010…
…011100010001011001000
3120020111102010021110122222
4332220302103202023020
51031010403202241404
613053225320233212
7622661034422600
oct76506223421310
916214363243588
104304401212104
11140a5392a5744
1259627b30b808
13252b986c2c56
1410c496bd3c00
1576e79c41dbe
hex3ea324e22c8

4304401212104 has 144 divisors (see below), whose sum is σ = 9913278433500. Its totient is φ = 1746819599616.

The previous prime is 4304401212071. The next prime is 4304401212109. The reversal of 4304401212104 is 4012121044034.

It can be written as a sum of positive squares in 2 ways, for example, as 3511763560900 + 792637651204 = 1873970^2 + 890302^2 .

It is a super-2 number, since 2×43044012121042 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4304401212109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 360708122 + ... + 360720054.

Almost surely, 24304401212104 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 4304401212104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4956639216750).

4304401212104 is an abundant number, since it is smaller than the sum of its proper divisors (5608877221396).

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

4304401212104 is a wasteful number, since it uses less digits than its factorization.

4304401212104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14540 (or 14510 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 4304401212104 its reverse (4012121044034), we get a palindrome (8316522256138).

The spelling of 4304401212104 in words is "four trillion, three hundred four billion, four hundred one million, two hundred twelve thousand, one hundred four".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 361 392 532 722 931 1064 1444 1862 2527 2549 2888 3724 5054 5098 7448 10108 10196 11933 17689 17843 20216 20392 23866 35378 35686 47732 48431 70756 71372 83531 95464 96862 124901 141512 142744 167062 193724 226727 249802 334124 339017 387448 453454 499604 584717 668248 678034 906908 920189 999208 1169434 1356068 1587089 1813816 1840378 2338868 2373119 2712136 3174178 3680756 4307813 4677736 4746238 6348356 6441323 7361512 8615626 9492476 11109623 12696712 12882646 17231252 18984952 22219246 25765292 30154691 30417217 34462504 44438492 45089261 51530584 60309382 60834434 88876984 90178522 120618764 121668868 180357044 211082837 212920519 241237528 243337736 360714088 422165674 425841038 577927123 844331348 851682076 1155854246 1490443633 1688662696 1703364152 2311708492 2980887266 4045489861 4623416984 5961774532 8090979722 10980615337 11923549064 16181959444 21961230674 28318429027 32363918888 43922461348 56636858054 76864307359 87844922696 113273716108 153728614718 226547432216 307457229436 538050151513 614914458872 1076100303026 2152200606052 4304401212104