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314023240240 = 24519206594237
BaseRepresentation
bin1001001000111010011…
…11100110001000110000
31010000112211010102221021
410210131033212020300
520121104422141430
6400132115505224
731454534333563
oct4443517461060
91100484112837
10314023240240
111111a3a29246
1250a398b8214
13237c61b69b8
14112ad7484da
15827d88307a
hex491d3e6230

314023240240 has 40 divisors (see below), whose sum is σ = 768530565360. Its totient is φ = 118998279936.

The previous prime is 314023240229. The next prime is 314023240247. The reversal of 314023240240 is 42042320413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3140232402402 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (314023240247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103295599 + ... + 103298638.

It is an arithmetic number, because the mean of its divisors is an integer number (19213264134).

Almost surely, 2314023240240 is an apocalyptic number.

It is an amenable number.

314023240240 is an abundant number, since it is smaller than the sum of its proper divisors (454507325120).

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

314023240240 is a wasteful number, since it uses less digits than its factorization.

314023240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206594269 (or 206594263 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 314023240240 its reverse (42042320413), we get a palindrome (356065560653).

The spelling of 314023240240 in words is "three hundred fourteen billion, twenty-three million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 206594237 413188474 826376948 1032971185 1652753896 2065942370 3305507792 3925290503 4131884740 7850581006 8263769480 15701162012 16527538960 19626452515 31402324024 39252905030 62804648048 78505810060 157011620120 314023240240