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413045530011 = 341737531511013
BaseRepresentation
bin1100000001010110110…
…11101001110110011011
31110111010212000221220000
412000223123221312123
523231404123430021
6513430035104043
741561440035132
oct6005333516633
91414125027800
10413045530011
1114a198485164
1268074142023
132cc4729197a
1415dc49c0919
15ab26d40b26
hex602b6e9d9b

413045530011 has 160 divisors (see below), whose sum is σ = 688837488768. Its totient is φ = 245522534400.

The previous prime is 413045529973. The next prime is 413045530039. The reversal of 413045530011 is 110035540314.

It is a happy number.

413045530011 is a `hidden beast` number, since 4 + 1 + 304 + 55 + 300 + 1 + 1 = 666.

It is not a de Polignac number, because 413045530011 - 214 = 413045513627 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (413045530081) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 407744341 + ... + 407745353.

Almost surely, 2413045530011 is an apocalyptic number.

413045530011 is a deficient number, since it is larger than the sum of its proper divisors (275791958757).

413045530011 is a wasteful number, since it uses less digits than its factorization.

413045530011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 413045530011 in words is "four hundred thirteen billion, forty-five million, five hundred thirty thousand, eleven".

Divisors: 1 3 9 17 27 37 51 53 81 111 151 153 159 333 453 459 477 629 901 999 1013 1359 1377 1431 1887 1961 2567 2703 2997 3039 4077 4293 5587 5661 5883 7701 8003 8109 9117 12231 16761 16983 17221 17649 23103 24009 24327 27351 33337 37481 50283 50949 51663 52947 53689 69309 72027 72981 82053 94979 100011 112443 136051 150849 152963 154989 158841 161067 207927 216081 284937 296111 300033 337329 408153 452547 458889 464967 483201 637177 648243 854811 888333 900099 912713 1011987 1224459 1376667 1394901 1449603 1911531 1986493 2564433 2600371 2664999 2700297 2738139 3035961 3673377 4130001 4348809 5033887 5659631 5734593 5959479 7693299 7801113 7994997 8107039 8214417 11020131 12390003 15101661 16978893 17203779 17878437 23403339 23984991 24321117 24643251 33770381 45304983 50936679 51611337 53635311 70210017 72963351 73929753 96213727 101311143 135914949 137819663 152810037 160905933 210630051 218890053 288641181 299960443 303933429 407744847 413458989 458430111 656670159 865923543 899881329 911800287 1240376967 2597770629 2699643987 2735400861 3721130901 5099327531 7793311887 8098931961 11163392703 15297982593 24296795883 45893947779 137681843337 413045530011