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1314011320440 = 23357213152311287
BaseRepresentation
bin10011000111110001001…
…011011001000001111000
311122121200201010021112020
4103013301023121001320
5133012043344223230
62443352022514440
7163635265636200
oct23076113310170
94577621107466
101314011320440
114672a6152665
121927b7895a20
1396babb6abb0
144785436b400
15242a9042810
hex131f12d9078

1314011320440 has 384 divisors, whose sum is σ = 4942052559360. Its totient is φ = 277035365376.

The previous prime is 1314011320439. The next prime is 1314011320493. The reversal of 1314011320440 is 440231104131.

It is a super-3 number, since 3×13140113204403 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1314011320440.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 116412477 + ... + 116423763.

It is an arithmetic number, because the mean of its divisors is an integer number (12869928540).

Almost surely, 21314011320440 is an apocalyptic number.

1314011320440 is a gapful number since it is divisible by the number (10) 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 1314011320440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471026279680).

1314011320440 is an abundant number, since it is smaller than the sum of its proper divisors (3628041238920).

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

1314011320440 is a wasteful number, since it uses less digits than its factorization.

1314011320440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12851 (or 12840 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1314011320440 its reverse (440231104131), we get a palindrome (1754242424571).

The spelling of 1314011320440 in words is "one trillion, three hundred fourteen billion, eleven million, three hundred twenty thousand, four hundred forty".