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41144344323432 = 23374321792613817
BaseRepresentation
bin10010101101011101010100…
…00001110010010101101000
312101200100202002122210221120
421112232222001302111220
520343102104121322212
6223301241214335240
711444403131231040
oct1126565201622550
9171610662583846
1041144344323432
1112123244815649
1247460717ba520
1319c5b8349316c
14a2357b0d4720
154b53d379188c
hex256baa072568

41144344323432 has 128 divisors (see below), whose sum is σ = 120344362828800. Its totient is φ = 11476868755968.

The previous prime is 41144344323413. The next prime is 41144344323473. The reversal of 41144344323432 is 23432344344114.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14434188 + ... + 17048004.

It is an arithmetic number, because the mean of its divisors is an integer number (940190334600).

Almost surely, 241144344323432 is an apocalyptic number.

41144344323432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41144344323432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60172181414400).

41144344323432 is an abundant number, since it is smaller than the sum of its proper divisors (79200018505368).

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

41144344323432 is a wasteful number, since it uses less digits than its factorization.

41144344323432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616055 (or 2616051 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

Adding to 41144344323432 its reverse (23432344344114), we get a palindrome (64576688667546).

The spelling of 41144344323432 in words is "forty-one trillion, one hundred forty-four billion, three hundred forty-four million, three hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1806 2179 2408 3612 4358 6537 7224 8716 13074 15253 17432 26148 30506 45759 52296 61012 91518 93697 122024 183036 187394 281091 366072 374788 562182 655879 749576 1124364 1311758 1967637 2248728 2613817 2623516 3935274 5227634 5247032 7841451 7870548 10455268 15682902 15741096 18296719 20910536 31365804 36593438 54890157 62731608 73186876 109780314 112394131 146373752 219560628 224788262 337182393 439121256 449576524 674364786 786758917 899153048 1348729572 1573517834 2360276751 2697459144 3147035668 4720553502 5695507243 6294071336 9441107004 11391014486 17086521729 18882214008 22782028972 34173043458 39868550701 45564057944 68346086916 79737101402 119605652103 136692173832 159474202804 239211304206 244906811449 318948405608 478422608412 489813622898 734720434347 956845216824 979627245796 1469440868694 1714347680143 1959254491592 2938881737388 3428695360286 5143043040429 5877763474776 6857390720572 10286086080858 13714781441144 20572172161716 41144344323432