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41040411404014 = 2112326160795239
BaseRepresentation
bin10010101010011011101110…
…01001001010011011101110
312101022102110211112110111201
421111031313021022123232
520334401230304412024
6223141412115240114
711434033440053131
oct1125156711123356
9171272424473451
1041040411404014
1112093160352a20
124729aa68a903a
1319b912bc1aa89
14a1c51b9c2218
154b284e132744
hex25537724a6ee

41040411404014 has 96 divisors (see below), whose sum is σ = 71473045432320. Its totient is φ = 17522039620800.

The previous prime is 41040411403969. The next prime is 41040411404023.

It is a happy number.

41040411404014 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 430872607 + ... + 430967845.

It is an arithmetic number, because the mean of its divisors is an integer number (744510889920).

Almost surely, 241040411404014 is an apocalyptic number.

41040411404014 is a deficient number, since it is larger than the sum of its proper divisors (30432634028306).

41040411404014 is a wasteful number, since it uses less digits than its factorization.

41040411404014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95966 (or 95943 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 4104041 and 1404014, that added together give a palindrome (5508055).

The spelling of 41040411404014 in words is "forty-one trillion, forty billion, four hundred eleven million, four hundred four thousand, fourteen".

Divisors: 1 2 11 22 23 46 61 122 253 506 529 607 671 1058 1214 1342 1403 2806 5819 6677 11638 13354 13961 15433 27922 30866 32269 37027 64538 74054 95239 153571 190478 307142 321103 354959 407297 642206 709918 814594 851621 1047629 1703242 2095258 2190497 3532133 4380994 5809579 7064266 9367831 11619158 18735662 19587283 24095467 39174566 48190934 50381431 57810073 63905369 100762862 115620146 127810738 133620317 215460113 267240634 430920226 554195741 635910803 1108391482 1271821606 1329631679 1469823487 2659263358 2939646974 3073267291 3526414453 6146534582 7052828906 14625948469 29251896938 30581528617 33805940201 38790558983 61163057234 67611880402 77581117966 81107532419 162215064838 336396814787 672793629574 892182856609 1784365713218 1865473245637 3730946491274 20520205702007 41040411404014