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41430202023441 = 37211617145128619
BaseRepresentation
bin10010110101110001110000…
…11110010111111000010001
312102200200121000100120020010
421122320320132113320101
520412243023204222231
6224040434433105133
711504143012465200
oct1132707036277021
9172620530316203
1041430202023441
11122234a4a60610
12479154a9b81a9
131a16b0b37ba0a
14a33337cbb237
154bca645ae546
hex25ae38797e11

41430202023441 has 96 divisors (see below), whose sum is σ = 70265285291520. Its totient is φ = 21471741984000.

The previous prime is 41430202023383. The next prime is 41430202023491. The reversal of 41430202023441 is 14432020203414.

It is not a de Polignac number, because 41430202023441 - 214 = 41430202007057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41430202023399 and 41430202023408.

It is not an unprimeable number, because it can be changed into a prime (41430202023491) 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, 1447632430 + ... + 1447661048.

It is an arithmetic number, because the mean of its divisors is an integer number (731930055120).

Almost surely, 241430202023441 is an apocalyptic number.

It is an amenable number.

41430202023441 is a deficient number, since it is larger than the sum of its proper divisors (28835083268079).

41430202023441 is a wasteful number, since it uses less digits than its factorization.

41430202023441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30715 (or 30708 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 41430202023441 its reverse (14432020203414), we get a palindrome (55862222226855).

The spelling of 41430202023441 in words is "forty-one trillion, four hundred thirty billion, two hundred two million, twenty-three thousand, four hundred forty-one".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 617 1451 1617 1851 4319 4353 6787 10157 12957 15961 20361 28619 30233 30471 47509 47883 71099 85857 90699 111727 142527 200333 213297 314809 332563 335181 600999 782089 895267 944427 997689 1402331 2203663 2346267 2685801 4206993 6266869 6610989 9847937 15425641 17657923 18800607 29543811 41526169 43868083 46276923 52973769 68935559 123605461 124578507 131604249 194237153 206806677 290683183 370816383 456787859 482548913 582711459 865238227 872049549 1359660071 1370363577 1447646739 2034782281 2595714681 3197515013 4078980213 6104346843 9517620497 9592545039 22382605091 25621646273 28552861491 67147815273 76864938819 179351523911 281838109003 538054571733 845514327009 1255460667377 1972866763021 3766382002131 5918600289063 13810067341147 41430202023441