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1330403420444 = 2271759101946489
BaseRepresentation
bin10011010111000010001…
…110010010100100011100
311201012000002202020102012
4103113002032102210130
5133244131233423234
62455102350250352
7165055431326210
oct23270216224434
94635002666365
101330403420444
11473248057a4a
12195a114b69b8
13985c1c2a957
144856b408940
152491818b0ce
hex135c239291c

1330403420444 has 96 divisors (see below), whose sum is σ = 2867949504000. Its totient is φ = 527008794624.

The previous prime is 1330403420417. The next prime is 1330403420513. The reversal of 1330403420444 is 4440243040331.

It is a super-2 number, since 2×13304034204442 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1330403420444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28594352 + ... + 28640840.

It is an arithmetic number, because the mean of its divisors is an integer number (29874474000).

Almost surely, 21330403420444 is an apocalyptic number.

1330403420444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330403420444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433974752000).

1330403420444 is an abundant number, since it is smaller than the sum of its proper divisors (1537546083556).

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

1330403420444 is a wasteful number, since it uses less digits than its factorization.

1330403420444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47595 (or 47593 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 1330403420444 its reverse (4440243040331), we get a palindrome (5770646460775).

The spelling of 1330403420444 in words is "one trillion, three hundred thirty billion, four hundred three million, four hundred twenty thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 59 68 118 119 236 238 413 476 826 1003 1019 1652 2006 2038 4012 4076 7021 7133 14042 14266 17323 28084 28532 34646 46489 60121 69292 92978 120242 121261 185956 240484 242522 325423 420847 485044 650846 790313 841694 1022057 1301692 1580626 1683388 2044114 2742851 3161252 4088228 5485702 5532191 7154399 10971404 11064382 14308798 19199957 22128764 28617596 38399914 46628467 47372291 76799828 93256934 94744582 186513868 189489164 326399269 331606037 652798538 663212074 805328947 1305597076 1326424148 1610657894 2794965169 3221315788 5589930338 5637302629 11179860676 11274605258 19564756183 22549210516 39129512366 47514407873 78259024732 95028815746 190057631492 332600855111 665201710222 1330403420444