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41172444427114 = 271113787159716363
BaseRepresentation
bin10010101110010001101001…
…11011001011001101101010
312101210001021102221222112101
421113020310323023031222
520344032131233131424
6223322205421204014
711446416361201420
oct1127106473131552
9171701242858471
1041172444427114
1112134154574430
12474b5b440060a
1319c871105c950
14a24a850a1110
154b5eca6cd344
hex257234ecb36a

41172444427114 has 128 divisors (see below), whose sum is σ = 83083156273152. Its totient is φ = 14778294531840.

The previous prime is 41172444427069. The next prime is 41172444427129.

41172444427114 is nontrivially palindromic in base 10.

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, 2516183497 + ... + 2516199859.

It is an arithmetic number, because the mean of its divisors is an integer number (649087158384).

Almost surely, 241172444427114 is an apocalyptic number.

41172444427114 is an abundant number, since it is smaller than the sum of its proper divisors (41910711846038).

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

41172444427114 is a wasteful number, since it uses less digits than its factorization.

41172444427114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18780.

The product of its digits is 802816, while the sum is 46.

The spelling of 41172444427114 in words is "forty-one trillion, one hundred seventy-two billion, four hundred forty-four million, four hundred twenty-seven thousand, one hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 787 1001 1574 1597 2002 3194 5509 8657 10231 11018 11179 16363 17314 17567 20462 20761 22358 32726 35134 41522 60599 71617 112541 114541 121198 122969 143234 145327 179993 212719 225082 228371 229082 245938 290654 359986 425438 456742 787787 1256839 1259951 1489033 1575574 1598597 2339909 2513678 2519902 2978066 3197194 4679818 8797873 12877681 13825229 16338907 16379363 17595746 25755362 26131711 27650458 32677814 32758726 52263422 90143767 96776603 114372349 141654491 167409853 179727977 180287534 182921977 193553206 228744698 283308982 287448821 334819706 339712243 359455954 365843954 574897642 679424486 991581437 1171868971 1258095839 1841508383 1983162874 2012141747 2343737942 2377985701 2516191678 3683016766 3736834673 4024283494 4755971402 7473669346 12890558681 20565656557 25781117362 26157842711 41131313114 52315685422 143959595899 226222222127 267353535241 287919191798 452444444254 534707070482 1583555554889 1871474746687 2940888887651 3167111109778 3742949493374 5881777775302 20586222213557 41172444427114