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41034241314 = 232114137913337
BaseRepresentation
bin100110001101110101…
…001101010100100010
310220220202011102212100
4212031311031110202
51133014231210224
630503442111230
72651603203413
oct461565152442
9126822142770
1041034241314
1116447839930
127b5234b516
133b3c41b081
141db3aad80a
1511026cdac9
hex98dd4d522

41034241314 has 96 divisors (see below), whose sum is σ = 99625256640. Its totient is φ = 12098419200.

The previous prime is 41034241307. The next prime is 41034241337. The reversal of 41034241314 is 41314243014.

41034241314 is a `hidden beast` number, since 4 + 1 + 0 + 342 + 4 + 1 + 314 = 666.

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 47 ways as a sum of consecutive naturals, for example, 3070054 + ... + 3083390.

It is an arithmetic number, because the mean of its divisors is an integer number (1037763090).

Almost surely, 241034241314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41034241314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49812628320).

41034241314 is an abundant number, since it is smaller than the sum of its proper divisors (58591015326).

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

41034241314 is a wasteful number, since it uses less digits than its factorization.

41034241314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13776 (or 13773 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 41034241314 its reverse (41314243014), we get a palindrome (82348484328).

The spelling of 41034241314 in words is "forty-one billion, thirty-four million, two hundred forty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 379 451 738 758 902 1137 1353 2274 2706 3411 4059 4169 6822 8118 8338 12507 13337 15539 25014 26674 31078 37521 40011 46617 75042 80022 93234 120033 139851 146707 170929 240066 279702 293414 341858 440121 512787 546817 880242 1025574 1093634 1320363 1538361 1640451 2640726 3076722 3280902 4921353 5054723 6014987 9842706 10109446 12029974 15164169 18044961 30328338 36089922 45492507 54134883 55601953 90985014 108269766 111203906 166805859 207243643 333611718 414487286 500417577 621730929 1000835154 1243461858 1865192787 2279680073 3730385574 4559360146 6839040219 13678080438 20517120657 41034241314