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6214040442729 = 337231619882953
BaseRepresentation
bin101101001101101000110…
…1011000101011101101001
3211000001112011101121222000
41122123101223011131221
51303302323323131404
621114405112321213
71210643500154430
oct132332153053551
924001464347860
106214040442729
111a863a5915029
128443a56a3209
13360c9b47b042
14176a928b4117
15ab994d7d339
hex5a6d1ac5769

6214040442729 has 64 divisors (see below), whose sum is σ = 10985360486400. Its totient is φ = 3394392414336.

The previous prime is 6214040442691. The next prime is 6214040442749. The reversal of 6214040442729 is 9272440404126.

6214040442729 is a `hidden beast` number, since 6 + 2 + 140 + 40 + 442 + 7 + 29 = 666.

It is not a de Polignac number, because 6214040442729 - 29 = 6214040442217 is a prime.

It is a super-2 number, since 2×62140404427292 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6214040442749) 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, 6596317 + ... + 7479269.

It is an arithmetic number, because the mean of its divisors is an integer number (171646257600).

Almost surely, 26214040442729 is an apocalyptic number.

6214040442729 is a gapful number since it is divisible by the number (69) formed by its first and last digit.

It is an amenable number.

6214040442729 is a deficient number, since it is larger than the sum of its proper divisors (4771320043671).

6214040442729 is a wasteful number, since it uses less digits than its factorization.

6214040442729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884611 (or 884605 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 6214040442729 in words is "six trillion, two hundred fourteen billion, forty million, four hundred forty-two thousand, seven hundred twenty-nine".

Divisors: 1 3 7 9 21 23 27 63 69 161 189 207 483 621 1449 1619 4347 4857 11333 14571 33999 37237 43713 101997 111711 260659 305991 335133 781977 882953 1005399 2345931 2648859 6180671 7037793 7946577 18542013 20307919 23839731 55626039 60923757 142155433 166878117 182771271 426466299 548313813 1279398897 1429500907 3838196691 4288502721 10006506349 12865508163 30019519047 32878520861 38596524489 90058557141 98635562583 230149646027 270175671423 295906687749 690448938081 887720063247 2071346814243 6214040442729