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10001340304434 = 232928159867473
BaseRepresentation
bin1001000110001001111001…
…0101100000110000110010
31022102010012121020202212100
42101202132111200300302
52302330221104220214
633134315144241230
72051400351631353
oct221423625406062
938363177222770
1010001340304434
1132065a995a636
1211563b0770216
13577178a3577b
142680d3141d2a
15125257945309
hex9189e560c32

10001340304434 has 24 divisors (see below), whose sum is σ = 21671905853052. Its totient is φ = 3333420840960.

The previous prime is 10001340304421. The next prime is 10001340304451. The reversal of 10001340304434 is 43440304310001.

10001340304434 is a `hidden beast` number, since 10 + 0 + 0 + 1 + 340 + 304 + 4 + 3 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7656316670025 + 2345023634409 = 2767005^2 + 1531347^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10001340304398 and 10001340304407.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29766679 + ... + 30100794.

Almost surely, 210001340304434 is an apocalyptic number.

10001340304434 is an abundant number, since it is smaller than the sum of its proper divisors (11670565548618).

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

10001340304434 is a wasteful number, since it uses less digits than its factorization.

10001340304434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59876762 (or 59876759 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10001340304434 its reverse (43440304310001), we get a palindrome (53441644614435).

The spelling of 10001340304434 in words is "ten trillion, one billion, three hundred forty million, three hundred four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 9281 18562 27843 55686 83529 167058 59867473 119734946 179602419 359204838 538807257 1077614514 555630016913 1111260033826 1666890050739 3333780101478 5000670152217 10001340304434