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340431134043 = 371113611858421
BaseRepresentation
bin1001111010000110100…
…01101101110101011011
31012112201020020102222010
410331003101231311123
521034200332242133
6420220352401003
733411125615610
oct4750321556533
91175636212863
10340431134043
11121415555770
1255b89846163
1326144303970
1412696a9a507
158cc6e59263
hex4f4346dd5b

340431134043 has 64 divisors (see below), whose sum is σ = 619434353664. Its totient is φ = 160567488000.

The previous prime is 340431134041. The next prime is 340431134051.

340431134043 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 340431134043 - 21 = 340431134041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 340431134043.

It is not an unprimeable number, because it can be changed into a prime (340431134041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 746028 + ... + 1112393.

It is an arithmetic number, because the mean of its divisors is an integer number (9678661776).

Almost surely, 2340431134043 is an apocalyptic number.

340431134043 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

340431134043 is a deficient number, since it is larger than the sum of its proper divisors (279003219621).

340431134043 is a wasteful number, since it uses less digits than its factorization.

340431134043 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858516.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 340431 and 134043, that added together give a palindrome (474474).

The spelling of 340431134043 in words is "three hundred forty billion, four hundred thirty-one million, one hundred thirty-four thousand, forty-three".

Divisors: 1 3 7 11 13 21 33 39 61 77 91 143 183 231 273 427 429 671 793 1001 1281 2013 2379 3003 4697 5551 8723 14091 16653 26169 61061 183183 1858421 5575263 13008947 20442631 24159473 39026841 61327893 72478419 113363681 143098417 169116311 265754203 340091043 429295251 507348933 793545767 797262609 1247000491 1473727853 1860279421 2380637301 3741001473 4421183559 5580838263 8729003437 10316094971 16211006383 26187010311 30948284913 48633019149 113477044681 340431134043