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41408516041648 = 247273723520339
BaseRepresentation
bin10010110101001001010111…
…11000111010101110110000
312102121121121200100112202021
421122210223320322232300
520411414120101313043
6224022450515201224
711502444425622400
oct1132445370725660
9172547550315667
1041408516041648
1112215286873508
1247892b82a6214
131a14a635c5322
14a3227bb1c800
154bc1e580d3ed
hex25a92be3abb0

41408516041648 has 60 divisors (see below), whose sum is σ = 94606072617720. Its totient is φ = 17503404016896.

The previous prime is 41408516041589. The next prime is 41408516041657. The reversal of 41408516041648 is 84614061580414.

41408516041648 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 41408516041595 and 41408516041604.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 361702938 + ... + 361817401.

It is an arithmetic number, because the mean of its divisors is an integer number (1576767876962).

Almost surely, 241408516041648 is an apocalyptic number.

It is an amenable number.

41408516041648 is an abundant number, since it is smaller than the sum of its proper divisors (53197556576072).

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

41408516041648 is a wasteful number, since it uses less digits than its factorization.

41408516041648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723520434 (or 723520421 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 52.

The spelling of 41408516041648 in words is "forty-one trillion, four hundred eight billion, five hundred sixteen million, forty-one thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 73 98 112 146 196 292 392 511 584 784 1022 1168 2044 3577 4088 7154 8176 14308 28616 57232 723520339 1447040678 2894081356 5064642373 5788162712 10129284746 11576325424 20258569492 35452496611 40517138984 52816984747 70904993222 81034277968 105633969494 141809986444 211267938988 283619972888 369718893229 422535877976 567239945776 739437786458 845071755952 1478875572916 2588032252603 2957751145832 5176064505206 5915502291664 10352129010412 20704258020824 41408516041648