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4141601440041 = 31353167173223311
BaseRepresentation
bin111100010001001010101…
…011101100000100101001
3112122221012022210011102110
4330101022223230010221
51020323444432040131
612450343032152533
7605135513250612
oct74211253540451
915587168704373
104141601440041
11135749705037a
1256a805b38749
132407223a8a90
14104651518c09
1572aec5b2646
hex3c44aaec129

4141601440041 has 128 divisors (see below), whose sum is σ = 6177929232384. Its totient is φ = 2452255902720.

The previous prime is 4141601440033. The next prime is 4141601440051. The reversal of 4141601440041 is 1400441061414.

It is not a de Polignac number, because 4141601440041 - 23 = 4141601440033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4141601439990 and 4141601440008.

It is not an unprimeable number, because it can be changed into a prime (4141601440051) 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, 13317046276 + ... + 13317046586.

It is an arithmetic number, because the mean of its divisors is an integer number (48265072128).

Almost surely, 24141601440041 is an apocalyptic number.

It is an amenable number.

4141601440041 is a deficient number, since it is larger than the sum of its proper divisors (2036327792343).

4141601440041 is a wasteful number, since it uses less digits than its factorization.

4141601440041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943.

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 4141601440041 in words is "four trillion, one hundred forty-one billion, six hundred one million, four hundred forty thousand, forty-one".

Divisors: 1 3 13 39 53 159 167 173 223 311 501 519 669 689 933 2067 2171 2249 2899 4043 6513 6747 8697 8851 9169 11819 12129 16483 26553 27507 28891 35457 37241 38579 49449 51937 53803 69353 86673 111723 115063 115737 119197 153647 155811 161409 208059 214279 345189 357591 375583 460941 484133 501527 642837 675181 699439 901589 1126749 1452399 1504581 1531223 1973773 2025543 2044687 2098317 2704767 2752661 2851559 3675709 4593669 5921319 6134061 6442693 8257983 8554677 8985101 11027127 11581951 11998069 19328079 19905899 25659049 26580931 26955303 34745853 35784593 35994207 37070267 47784217 59717697 76977147 79742793 83755009 107353779 111210801 116806313 143352651 150565363 155974897 251265027 341462729 350418939 451696089 467924691 476210353 613843403 635897657 1024388187 1428631059 1841530209 1907692971 2003677523 4439015477 6011032569 6190734589 7979964239 8266669541 13317046431 18572203767 23939892717 24800008623 26047807799 78143423397 106194908719 318584726157 1380533813347 4141601440041