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314337044040 = 23352749952883
BaseRepresentation
bin1001001001011111111…
…00101010011001001000
31010001100200121022211020
410210233330222121020
520122230240402130
6400223205432440
731465364534505
oct4445774523110
91101320538736
10314337044040
11111345080728
1250b06a0b720
1323846208816
14112dd2b24ac
15829b1bbe10
hex492ff2a648

314337044040 has 64 divisors (see below), whose sum is σ = 943355160000. Its totient is φ = 83792631552.

The previous prime is 314337044033. The next prime is 314337044041. The reversal of 314337044040 is 40440733413.

It is a junction number, because it is equal to n+sod(n) for n = 314337043992 and 314337044010.

It is not an unprimeable number, because it can be changed into a prime (314337044041) 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, 146562 + ... + 806321.

It is an arithmetic number, because the mean of its divisors is an integer number (14739924375).

Almost surely, 2314337044040 is an apocalyptic number.

314337044040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314337044040 is an abundant number, since it is smaller than the sum of its proper divisors (629018115960).

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

314337044040 is a wasteful number, since it uses less digits than its factorization.

314337044040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955646 (or 955642 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 33.

Adding to 314337044040 its reverse (40440733413), we get a palindrome (354777777453).

The spelling of 314337044040 in words is "three hundred fourteen billion, three hundred thirty-seven million, forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2749 5498 8247 10996 13745 16494 21992 27490 32988 41235 54980 65976 82470 109960 164940 329880 952883 1905766 2858649 3811532 4764415 5717298 7623064 9528830 11434596 14293245 19057660 22869192 28586490 38115320 57172980 114345960 2619475367 5238950734 7858426101 10477901468 13097376835 15716852202 20955802936 26194753670 31433704404 39292130505 52389507340 62867408808 78584261010 104779014680 157168522020 314337044040