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41243855834214 = 23311313476454783
BaseRepresentation
bin10010110000010110101010…
…11000000100110001100110
312102000212121020010022222000
421120023111120010301212
520401214404043143324
6223415055451350130
711454525124143525
oct1130132530046146
9172025536108860
1041243855834214
111216146a436550
124761403a52346
131a02381a1ac17
14a282db3184bc
154b7ca9b889c9
hex2582d5604c66

41243855834214 has 128 divisors (see below), whose sum is σ = 103507883458560. Its totient is φ = 12060114688800.

The previous prime is 41243855834149. The next prime is 41243855834317.

41243855834214 is a `hidden beast` number, since 4 + 1 + 2 + 4 + 3 + 8 + 5 + 583 + 42 + 14 = 666.

41243855834214 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3162267 + ... + 9617049.

It is an arithmetic number, because the mean of its divisors is an integer number (808655339520).

Almost surely, 241243855834214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41243855834214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51753941729280).

41243855834214 is an abundant number, since it is smaller than the sum of its proper divisors (62264027624346).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41243855834214 is a wasteful number, since it uses less digits than its factorization.

41243855834214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6455183 (or 6455177 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 54.

It can be divided in two parts, 4124385 and 5834214, that added together give a palindrome (9958599).

The spelling of 41243855834214 in words is "forty-one trillion, two hundred forty-three billion, eight hundred fifty-five million, eight hundred thirty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 186 198 279 297 341 347 558 594 682 694 837 1023 1041 1674 2046 2082 3069 3123 3817 6138 6246 7634 9207 9369 10757 11451 18414 18738 21514 22902 32271 34353 64542 68706 96813 103059 118327 193626 206118 236654 290439 354981 580878 709962 1064943 2129886 3194829 6389658 6454783 12909566 19364349 38728698 58093047 71002613 116186094 142005226 174279141 200098273 213007839 348558282 400196546 426015678 600294819 639023517 1200589638 1278047034 1800884457 1917070551 2201081003 2239809701 3601768914 3834141102 4402162006 4479619402 5402653371 6603243009 6719429103 10805306742 13206486018 13438858206 19809729027 20158287309 24637906711 39619458054 40316574618 49275813422 59429187081 60474861927 69434100731 73913720133 118858374162 120949723854 138868201462 147827440266 208302302193 221741160399 416604604386 443482320798 624906906579 665223481197 763775108041 1249813813158 1330446962394 1527550216082 1874720719737 2291325324123 3749441439474 4582650648246 6873975972369 13747951944738 20621927917107 41243855834214