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41414103443304 = 23324379331686203
BaseRepresentation
bin10010110101010011110001…
…11011001010011101101000
312102122011001002000221220100
421122221320323022131220
520412012040440141204
6224025213152425400
711503033043015214
oct1132517073123550
9172564032027810
1041414103443304
1112217693804029
12478a3b7548260
131a1544405b357
14a3264bc07944
154bc4210e4a39
hex25aa78eca768

41414103443304 has 96 divisors (see below), whose sum is σ = 114786178958880. Its totient is φ = 13481953898112.

The previous prime is 41414103443191. The next prime is 41414103443411. The reversal of 41414103443304 is 40334430141414.

41414103443304 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 4 + 1 + 0 + 344 + 3 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23717467 + ... + 25403669.

It is an arithmetic number, because the mean of its divisors is an integer number (1195689364155).

Almost surely, 241414103443304 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 41414103443304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57393089479440).

41414103443304 is an abundant number, since it is smaller than the sum of its proper divisors (73372075515576).

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

41414103443304 is a wasteful number, since it uses less digits than its factorization.

41414103443304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694191 (or 1694184 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 41414103443304 its reverse (40334430141414), we get a palindrome (81748533584718).

The spelling of 41414103443304 in words is "forty-one trillion, four hundred fourteen billion, one hundred three million, four hundred forty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 7933 15866 23799 31732 47598 63464 71397 95196 142794 190392 285588 341119 571176 682238 1023357 1364476 1686203 2046714 2728952 3070071 3372406 4093428 5058609 6140142 6744812 8186856 10117218 12280284 13489624 15175827 20234436 24560568 30351654 40468872 60703308 72506729 121406616 145013458 217520187 290026916 435040374 580053832 652560561 870080748 1305121122 1740161496 2610242244 5220484488 13376648399 26753296798 40129945197 53506593596 80259890394 107013187192 120389835591 160519780788 240779671182 321039561576 481559342364 575195881157 963118684728 1150391762314 1725587643471 2300783524628 3451175286942 4601567049256 5176762930413 6902350573884 10353525860826 13804701147768 20707051721652 41414103443304