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41404266240414 = 2371189619623897
BaseRepresentation
bin10010110101000001011101…
…00101001101100110011110
312102121012122111121021102120
421122200232211031212132
520411331414124143124
6224020505103203410
711502234213122340
oct1132405645154636
9172535574537376
1041404266240414
11122134a5981990
124788510ba6566
131a1453700083c
14a31d97541290
154bc047692d79
hex25a82e94d99e

41404266240414 has 32 divisors (see below), whose sum is σ = 103241806730496. Its totient is φ = 10754354867520.

The previous prime is 41404266240383. The next prime is 41404266240419.

41404266240414 is nontrivially palindromic in base 10.

41404266240414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41404266240419) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 44809811487 + ... + 44809812410.

It is an arithmetic number, because the mean of its divisors is an integer number (3226306460328).

Almost surely, 241404266240414 is an apocalyptic number.

41404266240414 is an abundant number, since it is smaller than the sum of its proper divisors (61837540490082).

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

41404266240414 is a wasteful number, since it uses less digits than its factorization.

41404266240414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89619623920.

The product of its (nonzero) digits is 589824, while the sum is 42.

The spelling of 41404266240414 in words is "forty-one trillion, four hundred four billion, two hundred sixty-six million, two hundred forty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 89619623897 179239247794 268858871691 537717743382 627337367279 985815862867 1254674734558 1882012101837 1971631725734 2957447588601 3764024203674 5914895177202 6900711040069 13801422080138 20702133120207 41404266240414