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41224522480 = 2455913036703
BaseRepresentation
bin100110011001001011…
…000100101011110000
310221102000012201112221
4212121023010223300
51133411434204410
630534400330424
72656403442121
oct463113045360
9127360181487
1041224522480
1116535193999
127ba6013a14
133b6c98178b
141dd1082048
1511142684da
hex9992c4af0

41224522480 has 80 divisors (see below), whose sum is σ = 97560898560. Its totient is φ = 16195463424.

The previous prime is 41224522463. The next prime is 41224522481. The reversal of 41224522480 is 8422542214.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×412245224802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41224522481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6146809 + ... + 6153511.

It is an arithmetic number, because the mean of its divisors is an integer number (1219511232).

Almost surely, 241224522480 is an apocalyptic number.

41224522480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41224522480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48780449280).

41224522480 is an abundant number, since it is smaller than the sum of its proper divisors (56336376080).

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

41224522480 is a wasteful number, since it uses less digits than its factorization.

41224522480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8078 (or 8072 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 34.

The spelling of 41224522480 in words is "forty-one billion, two hundred twenty-four million, five hundred twenty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 1303 2360 2606 4720 5212 6515 6703 10424 13030 13406 20848 26060 26812 33515 52120 53624 67030 76877 104240 107248 134060 153754 268120 307508 384385 395477 536240 615016 768770 790954 1230032 1537540 1581908 1977385 3075080 3163816 3954770 6150160 6327632 7909540 8734009 15819080 17468018 31638160 34936036 43670045 69872072 87340090 139744144 174680180 349360360 515306531 698720720 1030613062 2061226124 2576532655 4122452248 5153065310 8244904496 10306130620 20612261240 41224522480