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41216347144416 = 2531031416427691
BaseRepresentation
bin10010101111100011011011…
…01110110000000011100000
312101221020121002200002201010
421113301231232300003200
520400242034332110131
6223354310052540520
711452532335141653
oct1127615556600340
9171836532602633
1041216347144416
1112150833500774
124758007321740
1319cc8b9831b92
14a26c4badb89a
154b71e9b20b46
hex257c6dbb00e0

41216347144416 has 48 divisors (see below), whose sum is σ = 108297851292288. Its totient is φ = 13725456662400.

The previous prime is 41216347144397. The next prime is 41216347144481. The reversal of 41216347144416 is 61444174361214.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208114870 + ... + 208312821.

It is an arithmetic number, because the mean of its divisors is an integer number (2256205235256).

Almost surely, 241216347144416 is an apocalyptic number.

It is an amenable number.

41216347144416 is an abundant number, since it is smaller than the sum of its proper divisors (67081504147872).

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

41216347144416 is a wasteful number, since it uses less digits than its factorization.

41216347144416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416428735 (or 416428727 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The spelling of 41216347144416 in words is "forty-one trillion, two hundred sixteen billion, three hundred forty-seven million, one hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1031 2062 3093 4124 6186 8248 12372 16496 24744 32992 49488 98976 416427691 832855382 1249283073 1665710764 2498566146 3331421528 4997132292 6662843056 9994264584 13325686112 19988529168 39977058336 429336949421 858673898842 1288010848263 1717347797684 2576021696526 3434695595368 5152043393052 6869391190736 10304086786104 13738782381472 20608173572208 41216347144416