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43412411421434 = 21123218121197673
BaseRepresentation
bin10011101111011101111010…
…10111001001001011111010
312200201012000121001012012202
421313232331113021023322
521142232104310441214
6232155215251510202
712100305011410016
oct1167567527111372
9180635017035182
1043412411421434
1112918111540830
124a517488b8362
131b2ba07baa643
14aa1259a8b546
155043ca7976de
hex277bbd5c92fa

43412411421434 has 96 divisors (see below), whose sum is σ = 75026356187328. Its totient is φ = 18681528096000.

The previous prime is 43412411421391. The next prime is 43412411421461.

43412411421434 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 444418022 + ... + 444515694.

It is an arithmetic number, because the mean of its divisors is an integer number (781524543618).

Almost surely, 243412411421434 is an apocalyptic number.

43412411421434 is a deficient number, since it is larger than the sum of its proper divisors (31613944765894).

43412411421434 is a wasteful number, since it uses less digits than its factorization.

43412411421434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98124 (or 98101 counting only the distinct ones).

The product of its digits is 147456, while the sum is 38.

It can be divided in two parts, 4341241 and 1421434, that added together give a palindrome (5762675).

The spelling of 43412411421434 in words is "forty-three trillion, four hundred twelve billion, four hundred eleven million, four hundred twenty-one thousand, four hundred thirty-four".

Divisors: 1 2 11 22 23 46 181 211 253 362 422 506 529 1058 1991 2321 3982 4163 4642 4853 5819 8326 9706 11638 38191 45793 53383 76382 91586 95749 97673 106766 111619 191498 195346 223238 420101 840202 878393 1053239 1074403 1227809 1756786 2106478 2148806 2246479 2455618 4492958 9662323 17678813 19324646 20203039 20609003 24711269 35357626 40406078 41218006 49422538 51669017 103338034 194466943 222233429 226699033 388933886 406612699 444466858 453398066 474007069 568359187 813225398 948014138 1136718374 3730229543 4472739689 5214077759 7460459086 8945479378 9352092077 10428155518 10902162587 18704184154 21804325174 41032524973 82065049946 85795279489 102873012847 119923788457 171590558978 205746025694 239847576914 943748074379 1887496148758 1973291428247 3946582856494 21706205710717 43412411421434