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41145510302344 = 23717283953160253
BaseRepresentation
bin10010101101011111011111…
…00001101001001010001000
312101200110202100122200022201
421112233233201221022020
520343112001114133334
6223301553025325544
711444444050002340
oct1126575741511210
9171613670580281
1041145510302344
11121237929a4888
1247463381968b4
1319c600ac05306
14a2364bcc9d20
154b5450d0bc14
hex256bef869288

41145510302344 has 128 divisors (see below), whose sum is σ = 93784127927040. Its totient is φ = 16520406884352.

The previous prime is 41145510302329. The next prime is 41145510302363. The reversal of 41145510302344 is 44320301554114.

It is a happy number.

41145510302344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256673322 + ... + 256833574.

It is an arithmetic number, because the mean of its divisors is an integer number (732688499430).

Almost surely, 241145510302344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41145510302344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46892063963520).

41145510302344 is an abundant number, since it is smaller than the sum of its proper divisors (52638617624696).

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

41145510302344 is a wasteful number, since it uses less digits than its factorization.

41145510302344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161519 (or 161515 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

Adding to 41145510302344 its reverse (44320301554114), we get a palindrome (85465811856458).

The spelling of 41145510302344 in words is "forty-one trillion, one hundred forty-five billion, five hundred ten million, three hundred two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 283 476 566 952 953 1132 1906 1981 2264 3812 3962 4811 6671 7624 7924 9622 13342 15848 16201 19244 26684 32402 33677 38488 53368 64804 67354 113407 129608 134708 160253 226814 269416 269699 320506 453628 539398 641012 907256 1078796 1121771 1282024 1887893 2157592 2243542 2724301 3775786 4487084 4584883 5448602 7551572 8974168 9169766 10897204 15103144 18339532 19070107 21794408 32094181 36679064 38140214 45351599 64188362 76280428 90703198 128376724 152560856 152721109 181406396 256753448 305442218 317461193 362812792 610884436 634922386 770977183 1069047763 1221768872 1269844772 1541954366 2138095526 2539689544 2596258853 3083908732 4276191052 5192517706 5396840281 6167817464 8552382104 10385035412 10793680562 18173811971 20770070824 21587361124 36347623942 43174722248 43220073847 72695247884 86440147694 145390495768 172880295388 302540516929 345760590776 605081033858 734741255399 1210162067716 1469482510798 2420324135432 2938965021596 5143188787793 5877930043192 10286377575586 20572755151172 41145510302344