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42065541131523 = 37132961433201163
BaseRepresentation
bin10011001000010001001011…
…01000101110110100000011
312111221102111212222022111020
421210020211220232310003
521003200212012202043
6225244350503120523
711601064216010640
oct1144104550566403
9174842455868436
1042065541131523
1112448994360058
124874700743143
131a619c0571560
14a55da9700dc7
154ce34bb43e83
hex264225a2ed03

42065541131523 has 128 divisors (see below), whose sum is σ = 72749657057280. Its totient is φ = 21023327969280.

The previous prime is 42065541131447. The next prime is 42065541131531. The reversal of 42065541131523 is 32513114556024.

It is not a de Polignac number, because 42065541131523 - 29 = 42065541131011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42065541131423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 209011140 + ... + 209212302.

It is an arithmetic number, because the mean of its divisors is an integer number (568356695760).

Almost surely, 242065541131523 is an apocalyptic number.

42065541131523 is a deficient number, since it is larger than the sum of its proper divisors (30684115925757).

42065541131523 is a wasteful number, since it uses less digits than its factorization.

42065541131523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201709.

The product of its (nonzero) digits is 432000, while the sum is 42.

Adding to 42065541131523 its reverse (32513114556024), we get a palindrome (74578655687547).

The spelling of 42065541131523 in words is "forty-two trillion, sixty-five billion, five hundred forty-one million, one hundred thirty-one thousand, five hundred twenty-three".

Divisors: 1 3 7 13 21 29 39 61 87 91 183 203 273 377 427 433 609 793 1131 1281 1299 1769 2379 2639 3031 5307 5551 5629 7917 9093 12383 12557 16653 16887 22997 26413 37149 37671 39403 68991 79239 87899 118209 160979 163241 184891 201163 263697 343369 482937 489723 554673 603489 765977 1030107 1142687 1408141 2297931 2403583 2615119 3428061 4224423 5361839 5833727 7210749 7845357 9957701 12270943 16085517 17501181 18305833 29873103 36812829 40836089 54917499 69703907 75838451 85896601 87103579 122508267 159522259 209111721 227515353 257689803 261310737 355857347 478566777 530869157 609725053 1067572041 1116655813 1132346527 1592607471 1829175159 2491001429 2526003791 3349967439 3397039581 4626145511 5313318319 7473004287 7578011373 7926425689 13878436533 15939954957 17682026537 23779277067 32383018577 32838049283 37193228233 53046079611 69073138147 97149055731 98514147849 111579684699 154086231251 207219414441 229866344981 462258693753 483511967029 689599034943 1078603618757 1450535901087 2003121006263 3235810856271 6009363018789 14021847043841 42065541131523