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40805283840 = 211351328297
BaseRepresentation
bin100110000000001011…
…110011100000000000
310220022210100012020220
4212000023303200000
51132032123040330
630425022503040
72643123122046
oct460013634000
9126283305226
1040805283840
111633a578782
127aa9734a80
133b03b65489
141d91510396
1510dc554710
hex9802f3800

40805283840 has 96 divisors (see below), whose sum is σ = 130545127440. Its totient is φ = 10881400832.

The previous prime is 40805283803. The next prime is 40805283853. The reversal of 40805283840 is 4838250804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 40805283792 and 40805283801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 633429 + ... + 694868.

Almost surely, 240805283840 is an apocalyptic number.

40805283840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40805283840 is an abundant number, since it is smaller than the sum of its proper divisors (89739843600).

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

40805283840 is a wasteful number, since it uses less digits than its factorization.

40805283840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328327 (or 1328307 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 40805283840 in words is "forty billion, eight hundred five million, two hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 5120 6144 7680 10240 15360 30720 1328297 2656594 3984891 5313188 6641485 7969782 10626376 13282970 15939564 19924455 21252752 26565940 31879128 39848910 42505504 53131880 63758256 79697820 85011008 106263760 127516512 159395640 170022016 212527520 255033024 318791280 340044032 425055040 510066048 637582560 680088064 850110080 1020132096 1275165120 1360176128 1700220160 2040264192 2550330240 2720352256 3400440320 4080528384 5100660480 6800880640 8161056768 10201320960 13601761280 20402641920 40805283840