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42013521459 = 327131092831663
BaseRepresentation
bin100111001000001100…
…110111011000110011
311000102222212000200100
4213020030313120303
51142020430141314
631144543323443
73015064016520
oct471014673063
9130388760610
1042013521459
11168aa5a0568
1281862b0583
133c67282290
142067b86147
15115d66ac09
hex9c8337633

42013521459 has 96 divisors (see below), whose sum is σ = 75687772160. Its totient is φ = 21866920704.

The previous prime is 42013521437. The next prime is 42013521479. The reversal of 42013521459 is 95412531024.

42013521459 is a `hidden beast` number, since 420 + 13 + 5 + 214 + 5 + 9 = 666.

42013521459 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42013521459 - 25 = 42013521427 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42013521419) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25262862 + ... + 25264524.

Almost surely, 242013521459 is an apocalyptic number.

42013521459 is a deficient number, since it is larger than the sum of its proper divisors (33674250701).

42013521459 is a wasteful number, since it uses less digits than its factorization.

42013521459 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 42013521459 in words is "forty-two billion, thirteen million, five hundred twenty-one thousand, four hundred fifty-nine".

Divisors: 1 3 7 9 13 21 39 63 91 109 117 273 283 327 763 819 849 981 1417 1663 1981 2289 2547 3679 4251 4989 5943 6867 9919 11037 11641 12753 14967 17829 21619 25753 29757 30847 33111 34923 64857 77259 89271 92541 104769 151333 181267 194571 215929 231777 277623 401011 453999 470629 543801 647787 1203033 1268869 1361997 1411887 1631403 1943361 2356471 2807077 3294403 3609099 3806607 4235661 6118177 7069413 8421231 9883209 11419821 16495297 18354531 21208239 25263693 29649627 42827239 49485891 51298561 55063593 128481717 148457673 153895683 359089927 385445151 461687049 666881293 1077269781 2000643879 3231809343 4668169051 6001931637 14004507153 42013521459