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330100421330440 = 23587763361148513
BaseRepresentation
bin100101100001110010111111…
…0010110101000011000001000
31121021210021212221002111022001
41023003211332112220120020
5321231331130330033230
63130022012353040344
7126346653111326365
oct11303457626503010
91537707787074261
10330100421330440
11961a8891160452
123103380b2560b4
131122644a722c47
145b72d34b9b46c
152826a0984b0ca
hex12c397e5a8608

330100421330440 has 64 divisors (see below), whose sum is σ = 743589584253360. Its totient is φ = 131886640005120.

The previous prime is 330100421330431. The next prime is 330100421330497. The reversal of 330100421330440 is 44033124001033.

It can be written as a sum of positive squares in 8 ways, for example, as 74881712310084 + 255218709020356 = 8653422^2 + 15975566^2 .

It is a junction number, because it is equal to n+sod(n) for n = 330100421330399 and 330100421330408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2222629624 + ... + 2222778136.

Almost surely, 2330100421330440 is an apocalyptic number.

It is an amenable number.

330100421330440 is an abundant number, since it is smaller than the sum of its proper divisors (413489162922920).

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

330100421330440 is a wasteful number, since it uses less digits than its factorization.

330100421330440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212762 (or 212758 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 330100421330440 its reverse (44033124001033), we get a palindrome (374133545331473).

The spelling of 330100421330440 in words is "three hundred thirty trillion, one hundred billion, four hundred twenty-one million, three hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 877 1754 3508 4385 7016 8770 17540 35080 63361 126722 148513 253444 297026 316805 506888 594052 633610 742565 1188104 1267220 1485130 2534440 2970260 5940520 55567597 111135194 130245901 222270388 260491802 277837985 444540776 520983604 555675970 651229505 1041967208 1111351940 1302459010 2222703880 2604918020 5209836040 9409932193 18819864386 37639728772 47049660965 75279457544 94099321930 188198643860 376397287720 8252510533261 16505021066522 33010042133044 41262552666305 66020084266088 82525105332610 165050210665220 330100421330440