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41414231404 = 22721367324151
BaseRepresentation
bin100110100100011110…
…110000010101101100
310221220020011221021101
4212210132300111230
51134304020401104
631005254412444
72664166105300
oct464436602554
9127806157241
1041414231404
1116622288027
128039661124
133ba0074890
14200c345d00
151125c3d5a4
hex9a47b056c

41414231404 has 72 divisors (see below), whose sum is σ = 90931410528. Its totient is φ = 16358630400.

The previous prime is 41414231363. The next prime is 41414231413. The reversal of 41414231404 is 40413241414.

It is a super-2 number, since 2×414142314042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1702729 + ... + 1726879.

Almost surely, 241414231404 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 41414231404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45465705264).

41414231404 is an abundant number, since it is smaller than the sum of its proper divisors (49517179124).

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

41414231404 is a wasteful number, since it uses less digits than its factorization.

41414231404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24855 (or 24846 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 41414231404 its reverse (40413241414), we get a palindrome (81827472818).

The spelling of 41414231404 in words is "forty-one billion, four hundred fourteen million, two hundred thirty-one thousand, four hundred four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 673 1274 1346 2548 2692 4711 8749 9422 17498 18844 24151 32977 34996 48302 61243 65954 96604 122486 131908 169057 244972 313963 338114 428701 627926 676228 857402 1183399 1255852 1714804 2197741 2366798 4395482 4733596 8790964 15384187 16253623 30768374 32507246 61536748 65014492 113775361 211297099 227550722 422594198 455101444 796427527 845188396 1479079693 1592855054 2958159386 3185710108 5916318772 10353557851 20707115702 41414231404