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443342400010328 = 237132196687238171
BaseRepresentation
bin110010011001101111011001…
…0010001000011100001011000
32011010202010020010111010101102
41210303132302101003201120
5431102210213400312303
64210524404211210532
7162245300652225230
oct14463366221034130
92133663203433342
10443342400010328
11119298501990a95
12418828888a6a48
131604c016816b00
147b69c5ad8ccc0
15363c5472ae288
hex19337b2443858

443342400010328 has 96 divisors (see below), whose sum is σ = 1028728812418560. Its totient is φ = 175386574097280.

The previous prime is 443342400010327. The next prime is 443342400010403. The reversal of 443342400010328 is 823010004243344.

It is a super-2 number, since 2×4433424000103282 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 443342400010291 and 443342400010300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (443342400010327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1861326683 + ... + 1861564853.

It is an arithmetic number, because the mean of its divisors is an integer number (10715925129360).

Almost surely, 2443342400010328 is an apocalyptic number.

It is an amenable number.

443342400010328 is an abundant number, since it is smaller than the sum of its proper divisors (585386412408232).

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

443342400010328 is a wasteful number, since it uses less digits than its factorization.

443342400010328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434897 (or 434880 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

The spelling of 443342400010328 in words is "four hundred forty-three trillion, three hundred forty-two billion, four hundred million, ten thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 364 676 728 1183 1352 2366 4732 9464 196687 238171 393374 476342 786748 952684 1376809 1573496 1667197 1905368 2556931 2753618 3096223 3334394 5113862 5507236 6192446 6668788 10227724 11014472 12384892 13337576 17898517 20455448 21673561 24769784 33240103 35797034 40250899 43347122 66480206 71594068 80501798 86694244 132960412 143188136 161003596 173388488 232680721 265920824 281756293 322007192 465361442 563512586 930722884 1127025172 1861445768 2254050344 46845139477 93690278954 187380557908 327915976339 374761115816 608986813201 655831952678 1217973626402 1311663905356 2435947252804 2623327810712 4262907692407 4871894505608 7916828571613 8525815384814 15833657143226 17051630769628 31667314286452 34103261539256 55417800001291 63334628572904 110835600002582 221671200005164 443342400010328