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808400480440 = 235724111979853
BaseRepresentation
bin10111100001110000110…
…11000110100010111000
32212021121211010100202211
423300320123012202320
5101221101010333230
61415212443504504
7112255626464440
oct13607033064270
92767554110684
10808400480440
11291927aa6013
1211080b828134
135b30246b967
142b1abcbb120
1516065a4842a
hexbc386c68b8

808400480440 has 64 divisors (see below), whose sum is σ = 2087369760960. Its totient is φ = 276015790080.

The previous prime is 808400480401. The next prime is 808400480441. The reversal of 808400480440 is 44084004808.

It is a super-2 number, since 2×8084004804402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 808400480393 and 808400480402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808400480441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5922447 + ... + 6057406.

It is an arithmetic number, because the mean of its divisors is an integer number (32615152515).

Almost surely, 2808400480440 is an apocalyptic number.

It is an amenable number.

808400480440 is an abundant number, since it is smaller than the sum of its proper divisors (1278969280520).

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

808400480440 is a wasteful number, since it uses less digits than its factorization.

808400480440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11980112 (or 11980108 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 808400480440 in words is "eight hundred eight billion, four hundred million, four hundred eighty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 241 280 482 964 1205 1687 1928 2410 3374 4820 6748 8435 9640 13496 16870 33740 67480 11979853 23959706 47919412 59899265 83858971 95838824 119798530 167717942 239597060 335435884 419294855 479194120 670871768 838589710 1677179420 2887144573 3354358840 5774289146 11548578292 14435722865 20210012011 23097156584 28871445730 40420024022 57742891460 80840048044 101050060055 115485782920 161680096088 202100120110 404200240220 808400480440