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40080084440 = 23511391123291
BaseRepresentation
bin100101010100111101…
…011000110111011000
310211110020202020200212
4211110331120313120
51124041000200230
630225035150252
72616136045064
oct452475306730
9124406666625
1040080084440
1115aa8187730
1279268a5388
133a198421c6
141d23096aa4
151098a55895
hex954f58dd8

40080084440 has 64 divisors (see below), whose sum is σ = 98407768320. Its totient is φ = 14570224000.

The previous prime is 40080084431. The next prime is 40080084449. The reversal of 40080084440 is 4448008004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40080084431) and next prime (40080084449).

It is a super-2 number, since 2×400800844402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40080084397 and 40080084406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40080084449) 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, 1709195 + ... + 1732485.

It is an arithmetic number, because the mean of its divisors is an integer number (1537621380).

Almost surely, 240080084440 is an apocalyptic number.

40080084440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40080084440 is an abundant number, since it is smaller than the sum of its proper divisors (58327683880).

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

40080084440 is a wasteful number, since it uses less digits than its factorization.

40080084440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27224 (or 27220 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The spelling of 40080084440 in words is "forty billion, eighty million, eighty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 3911 7822 15644 19555 23291 31288 39110 43021 46582 78220 86042 93164 116455 156440 172084 186328 215105 232910 256201 344168 430210 465820 512402 860420 931640 1024804 1281005 1720840 2049608 2562010 5124020 10248040 91091101 182182202 364364404 455455505 728728808 910911010 1002002111 1821822020 2004004222 3643644040 4008008444 5010010555 8016016888 10020021110 20040042220 40080084440