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714365111040 = 283571731211239
BaseRepresentation
bin10100110010100110111…
…10101000101100000000
32112021220022222122111120
422121103132220230000
543201004432023130
61304101431312240
7102416430153510
oct12312336505400
92467808878446
10714365111040
11255a62533199
12b654751b680
13524975c3049
142680b09d840
15138b02ab910
hexa6537a8b00

714365111040 has 1152 divisors, whose sum is σ = 2875356610560. Its totient is φ = 147397017600.

The previous prime is 714365111017. The next prime is 714365111099. The reversal of 714365111040 is 40111563417.

It is a junction number, because it is equal to n+sod(n) for n = 714365110992 and 714365111010.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2988975241 + ... + 2988975479.

It is an arithmetic number, because the mean of its divisors is an integer number (2495969280).

Almost surely, 2714365111040 is an apocalyptic number.

714365111040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 714365111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437678305280).

714365111040 is an abundant number, since it is smaller than the sum of its proper divisors (2160991499520).

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

714365111040 is a wasteful number, since it uses less digits than its factorization.

714365111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

Adding to 714365111040 its reverse (40111563417), we get a palindrome (754476674457).

The spelling of 714365111040 in words is "seven hundred fourteen billion, three hundred sixty-five million, one hundred eleven thousand, forty".