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42043144311 = 33719116310067
BaseRepresentation
bin100111001001111101…
…110111100001110111
311000112001121000121000
4213021331313201313
51142101021104221
631151522254343
73015603554520
oct471175674167
9130461530530
1042043144311
1116915293663
1281941b73b3
133c704546ac
14206ba97847
15116106ce26
hex9c9f77877

42043144311 has 64 divisors (see below), whose sum is σ = 75002572800. Its totient is φ = 22738369248.

The previous prime is 42043144271. The next prime is 42043144327. The reversal of 42043144311 is 11344134024.

42043144311 is a `hidden beast` number, since 4 + 204 + 3 + 1 + 443 + 11 = 666.

It is not a de Polignac number, because 42043144311 - 213 = 42043136119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42043144391) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4171300 + ... + 4181366.

It is an arithmetic number, because the mean of its divisors is an integer number (1171915200).

Almost surely, 242043144311 is an apocalyptic number.

42043144311 is a deficient number, since it is larger than the sum of its proper divisors (32959428489).

42043144311 is a wasteful number, since it uses less digits than its factorization.

42043144311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11265 (or 11259 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 42043144311 its reverse (11344134024), we get a palindrome (53387278335).

The spelling of 42043144311 in words is "forty-two billion, forty-three million, one hundred forty-four thousand, three hundred eleven".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 399 513 1163 1197 3489 3591 8141 10067 10467 22097 24423 30201 31401 66291 70469 73269 90603 154679 191273 198873 211407 219807 271809 464037 573819 596619 634221 1338911 1392111 1721457 1902663 4016733 4176333 5164371 11707921 12050199 35123763 36150597 81955447 105371289 222450499 245866341 316113867 667351497 737599023 1557153493 2002054491 2212797069 4671460479 6006163473 14014381437 42043144311