Search a number
-
+
1140020355441 = 311194409412387
BaseRepresentation
bin10000100101101110100…
…000100010000101110001
311000222120222102110122110
4100211232200202011301
5122134230202333231
62231415040355533
7145235524064442
oct20455640420561
94028528373573
101140020355441
113aa530852410
12164b3a615ba9
1383671136976
143d26a6532c9
151e9c4159046
hex1096e822171

1140020355441 has 32 divisors (see below), whose sum is σ = 1745885836800. Its totient is φ = 654407095680.

The previous prime is 1140020355359. The next prime is 1140020355457. The reversal of 1140020355441 is 1445530200411.

It is not a de Polignac number, because 1140020355441 - 226 = 1139953246577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1140020355399 and 1140020355408.

It is not an unprimeable number, because it can be changed into a prime (1140020355491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2558250 + ... + 2970636.

It is an arithmetic number, because the mean of its divisors is an integer number (54558932400).

Almost surely, 21140020355441 is an apocalyptic number.

1140020355441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1140020355441 is a deficient number, since it is larger than the sum of its proper divisors (605865481359).

1140020355441 is a wasteful number, since it uses less digits than its factorization.

1140020355441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416829.

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 1140020355441 its reverse (1445530200411), we get a palindrome (2585550555852).

The spelling of 1140020355441 in words is "one trillion, one hundred forty billion, twenty million, three hundred fifty-five thousand, four hundred forty-one".

Divisors: 1 3 11 19 33 57 209 627 4409 13227 48499 83771 145497 251313 412387 921481 1237161 2764443 4536257 7835353 13608771 23506059 86188883 258566649 1818214283 5454642849 20000357113 34546071377 60001071339 103638214131 380006785147 1140020355441