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1031440401341 = 72311794678123
BaseRepresentation
bin11110000001001101010…
…00111000001110111101
310122121022212002022000222
433000212220320032331
5113344342220320331
62105500455231125
7134343024516500
oct17004650701675
93577285068028
101031440401341
11368482242859
12147a973784a5
1376358bb680c
1437cc9cbd137
151bc6ba65b7b
hexf026a383bd

1031440401341 has 48 divisors (see below), whose sum is σ = 1248283146240. Its totient is φ = 848866606560.

The previous prime is 1031440401317. The next prime is 1031440401361. The reversal of 1031440401341 is 1431040441301.

It is a happy number.

1031440401341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1031440401341 - 210 = 1031440400317 is a prime.

It is a super-3 number, since 3×10314404013413 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1031440401341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031440401361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126973706 + ... + 126981828.

It is an arithmetic number, because the mean of its divisors is an integer number (26005898880).

Almost surely, 21031440401341 is an apocalyptic number.

It is an amenable number.

1031440401341 is a deficient number, since it is larger than the sum of its proper divisors (216842744899).

1031440401341 is a wasteful number, since it uses less digits than its factorization.

1031440401341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8814 (or 8807 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 1031440401341 its reverse (1431040441301), we get a palindrome (2462480842642).

The spelling of 1031440401341 in words is "one trillion, thirty-one billion, four hundred forty million, four hundred one thousand, three hundred forty-one".

Divisors: 1 7 31 49 179 217 467 1253 1519 3269 5549 8123 8771 14477 22883 38843 56861 83593 101339 251813 271901 398027 585151 709373 1454017 1762691 2591383 3793441 4096057 10178119 12338837 18139681 26554087 45074527 71246833 117596671 126977767 185878609 315521689 679025939 823176697 2208651823 4753181573 5762236879 21049804109 33272271011 147348628763 1031440401341