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14411436406430 = 2572193794084307
BaseRepresentation
bin1101000110110110110010…
…0011000011011010011110
31220000201102210002222001212
43101231230203003122132
53342104110210001210
650352304505104422
73015122554166300
oct321555443033236
956021383088055
1014411436406430
114656946167448
121749048a88112
13806cb9a3718b
1437b735461970
1519ed1b83b805
hexd1b6c8c369e

14411436406430 has 96 divisors (see below), whose sum is σ = 31847800060800. Its totient is φ = 4668655828032.

The previous prime is 14411436406387. The next prime is 14411436406463. The reversal of 14411436406430 is 3460463411441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1486337 + ... + 5570643.

It is an arithmetic number, because the mean of its divisors is an integer number (331747917300).

Almost surely, 214411436406430 is an apocalyptic number.

14411436406430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14411436406430 is an abundant number, since it is smaller than the sum of its proper divisors (17436363654370).

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

14411436406430 is a wasteful number, since it uses less digits than its factorization.

14411436406430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4084726 (or 4084719 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 41.

Adding to 14411436406430 its reverse (3460463411441), we get a palindrome (17871899817871).

The spelling of 14411436406430 in words is "fourteen trillion, four hundred eleven billion, four hundred thirty-six million, four hundred six thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 19 35 38 49 70 95 98 133 190 245 266 379 490 665 758 931 1330 1862 1895 2653 3790 4655 5306 7201 9310 13265 14402 18571 26530 36005 37142 50407 72010 92855 100814 185710 252035 352849 504070 705698 1764245 3528490 4084307 8168614 20421535 28590149 40843070 57180298 77601833 142950745 155203666 200131043 285901490 388009165 400262086 543212831 776018330 1000655215 1086425662 1547952353 2001310430 2716064155 3095904706 3802489817 5432128310 7604979634 7739761765 10835666471 15479523530 19012449085 21671332942 29411094707 38024898170 54178332355 58822189414 75849665297 108356664710 147055473535 151699330594 205877662949 294110947070 379248326485 411755325898 758496652970 1029388314745 1441143640643 2058776629490 2882287281286 7205718203215 14411436406430