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41445844854414 = 237111355061125329
BaseRepresentation
bin10010110110001110111001…
…10111000010011010001110
312102202011222012002201020020
421123013130313002122032
520413022042240320124
6224051542553203010
711505235446402330
oct1133073467023216
9172664865081206
1041445844854414
111222a0a1a24aa0
124794595700466
131a1843213b910
14a33dbd637450
154bd17ca52379
hex25b1dcdc268e

41445844854414 has 128 divisors (see below), whose sum is σ = 111298045178880. Its totient is φ = 9936805939200.

The previous prime is 41445844854343. The next prime is 41445844854433.

41445844854414 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 63 ways as a sum of consecutive naturals, for example, 330633702 + ... + 330759030.

It is an arithmetic number, because the mean of its divisors is an integer number (869515977960).

Almost surely, 241445844854414 is an apocalyptic number.

41445844854414 is an abundant number, since it is smaller than the sum of its proper divisors (69852200324466).

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

41445844854414 is a wasteful number, since it uses less digits than its factorization.

41445844854414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180426.

The product of its digits is 104857600, while the sum is 60.

It can be divided in two parts, 4144584 and 4854414, that added together give a palindrome (8998998).

The spelling of 41445844854414 in words is "forty-one trillion, four hundred forty-five billion, eight hundred forty-four million, eight hundred fifty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 6006 55061 110122 125329 165183 250658 330366 375987 385427 605671 715793 751974 770854 877303 1156281 1211342 1378619 1431586 1629277 1754606 1817013 2147379 2312562 2631909 2757238 3258554 3634026 4135857 4239697 4294758 4887831 5010551 5263818 7873723 8271714 8479394 9650333 9775662 10021102 11404939 12719091 15031653 15747446 17922047 19300666 22809878 23621169 25438182 28950999 30063306 34214817 35844094 47242338 53766141 55116061 57901998 68429634 107532282 110232122 125454329 165348183 250908658 330696366 376362987 752725974 6900740069 13801480138 20702220207 41404440414 48305180483 75908140759 89709620897 96610360966 144915541449 151816281518 179419241794 227724422277 269128862691 289831082898 455448844554 531356985313 538257725382 627967346279 986805829867 1062713970626 1255934692558 1594070955939 1883902038837 1973611659734 2960417489601 3188141911878 3767804077674 5920834979202 6907640809069 13815281618138 20722922427207 41445844854414