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434150968116 = 223143944575641
BaseRepresentation
bin1100101000101010110…
…10100000101100110100
31112111121201122022010210
412110111122200230310
524103120121434431
6531240213545420
743236444224505
oct6242532405464
91474551568123
10434150968116
111581389a3198
1270184345270
1331c2b9a2598
1417027a1cbac
15b45eb68d46
hex65156a0b34

434150968116 has 48 divisors (see below), whose sum is σ = 1014130091520. Its totient is φ = 144558343680.

The previous prime is 434150968099. The next prime is 434150968217. The reversal of 434150968116 is 611869051434.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76960656 + ... + 76966296.

It is an arithmetic number, because the mean of its divisors is an integer number (21127710240).

Almost surely, 2434150968116 is an apocalyptic number.

It is an amenable number.

434150968116 is an abundant number, since it is smaller than the sum of its proper divisors (579979123404).

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

434150968116 is a wasteful number, since it uses less digits than its factorization.

434150968116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11544 (or 11542 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 434150968116 in words is "four hundred thirty-four billion, one hundred fifty million, nine hundred sixty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 1439 2878 4317 4457 5641 5756 8634 8914 11282 13371 16923 17268 17828 22564 26742 33846 53484 67692 6413623 8117399 12827246 16234798 19240869 24352197 25141937 25654492 32469596 38481738 48704394 50283874 75425811 76963476 97408788 100567748 150851622 301703244 36179247343 72358494686 108537742029 144716989372 217075484058 434150968116